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An elementary transition to abstract mathematics / / Gove Effinger and Gary L. Mullen
| An elementary transition to abstract mathematics / / Gove Effinger and Gary L. Mullen |
| Autore | Effinger Gove W. |
| Pubbl/distr/stampa | Boca Raton : , : CRC Press, Taylor & Francis Group, , 2020 |
| Descrizione fisica | 1 online resource (x, 282 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Textbooks in mathematics |
| Soggetto topico |
Mathematics
Group theory |
| ISBN |
1-000-70227-8
1-000-70181-6 0-429-32481-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A look back: precalculus math -- A look back: calculus -- About proofs and proof strategies -- Mathematical induction -- The well-ordering principle -- Sets -- Equivalence relations -- Functions -- Cardinality of sets -- Permutations -- Complex numbers -- Matrices and sets with algebraic structure -- Divisibility in Z and number theory -- Primes and unique factorization -- Congruences and the finite sets Zn -- Solving congruences -- Fermat's theorem -- Diffie-Hellman key exchange -- Euler's formula and Euler's theorem -- RSA cryptographic system -- Groups: definition and examples -- Groups: basic properties -- Groups: subgroups -- Groups: cosets -- Groups: Lagrange's theorem -- Rings -- Subrings and ideals -- Integral domains -- Fields -- Vector spaces -- Vector space properties -- Subspaces of vector spaces -- Polynomials -- Polynomials: unique factorization -- Polynomials over the rational, real and complex numbers |
| Record Nr. | UNINA-9910793839203321 |
Effinger Gove W.
|
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| Boca Raton : , : CRC Press, Taylor & Francis Group, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An elementary transition to abstract mathematics / / Gove Effinger and Gary L. Mullen
| An elementary transition to abstract mathematics / / Gove Effinger and Gary L. Mullen |
| Autore | Effinger Gove W. |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Boca Raton : , : CRC Press, Taylor & Francis Group, , 2020 |
| Descrizione fisica | 1 online resource (x, 282 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Textbooks in mathematics |
| Soggetto topico |
Mathematics
Group theory |
| ISBN |
1-000-70227-8
1-000-70181-6 0-429-32481-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A look back: precalculus math -- A look back: calculus -- About proofs and proof strategies -- Mathematical induction -- The well-ordering principle -- Sets -- Equivalence relations -- Functions -- Cardinality of sets -- Permutations -- Complex numbers -- Matrices and sets with algebraic structure -- Divisibility in Z and number theory -- Primes and unique factorization -- Congruences and the finite sets Zn -- Solving congruences -- Fermat's theorem -- Diffie-Hellman key exchange -- Euler's formula and Euler's theorem -- RSA cryptographic system -- Groups: definition and examples -- Groups: basic properties -- Groups: subgroups -- Groups: cosets -- Groups: Lagrange's theorem -- Rings -- Subrings and ideals -- Integral domains -- Fields -- Vector spaces -- Vector space properties -- Subspaces of vector spaces -- Polynomials -- Polynomials: unique factorization -- Polynomials over the rational, real and complex numbers |
| Record Nr. | UNINA-9910815531703321 |
|
Effinger Gove W.
|
||
| Boca Raton : , : CRC Press, Taylor & Francis Group, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors
| Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico | Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7816-6
0-8218-5561-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Computing composed products of polynomials""; ""Actions of linearized polynomials on the algebraic closure of a finite field""; ""On degree bounds for invariant rings of finite groups over finite fields""; ""Irreducible polynomials of given forms""; ""An application of Galois calculus to Fq[t]""; ""Composition behavior of sub-linearised polynomials over a finite field""; ""Kernels and defaults""; ""Global function fields with many rational places and their applications""; ""Traces of roots of unity over prime fields""; ""The Fermat curve in characteristic p""
""Computing zeta functions over finite fields""""Cyclic alternant codes induced by an automorphism of a GRS code""; ""On Kerdock codes""; ""Permutation group of the q-ary image of some qm-ary cyclic codes""; ""The number of solutions to a system of equations and spectra of codes""; ""The LD probable prime test""; ""Carmichael numbers and Lucas tests""; ""On the state complexity of some long codes""; ""ID-based key distribution system over an elliptic curve""; ""Symmetric sets of curves and combinatorial arrays"" ""Weight functions and the extension theorem for linear codes over finite rings"" |
| Record Nr. | UNINA-9910479978903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors
| Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico | Finite fields (Algebra) |
| ISBN |
0-8218-7816-6
0-8218-5561-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Computing composed products of polynomials -- Actions of linearized polynomials on the algebraic closure of a finite field -- On degree bounds for invariant rings of finite groups over finite fields -- Irreducible polynomials of given forms -- An application of Galois calculus to Fq[t] -- Composition behavior of sub-linearised polynomials over a finite field -- Kernels and defaults -- Global function fields with many rational places and their applications -- Traces of roots of unity over prime fields -- The Fermat curve in characteristic p -- Computing zeta functions over finite fields -- Cyclic alternant codes induced by an automorphism of a GRS code -- On Kerdock codes -- Permutation group of the q-ary image of some qm-ary cyclic codes -- The number of solutions to a system of equations and spectra of codes -- The LD probable prime test -- Carmichael numbers and Lucas tests -- On the state complexity of some long codes -- ID-based key distribution system over an elliptic curve -- Symmetric sets of curves and combinatorial arrays -- Weight functions and the extension theorem for linear codes over finite rings. |
| Record Nr. | UNINA-9910788650903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors
| Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields-- Theory, Applications, and Algorithms, August 12-15, 1997, University of Waterloo, Ontario, Canada / / Ronald C. Mullin, Gary L. Mullen, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico | Finite fields (Algebra) |
| ISBN |
0-8218-7816-6
0-8218-5561-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Computing composed products of polynomials -- Actions of linearized polynomials on the algebraic closure of a finite field -- On degree bounds for invariant rings of finite groups over finite fields -- Irreducible polynomials of given forms -- An application of Galois calculus to Fq[t] -- Composition behavior of sub-linearised polynomials over a finite field -- Kernels and defaults -- Global function fields with many rational places and their applications -- Traces of roots of unity over prime fields -- The Fermat curve in characteristic p -- Computing zeta functions over finite fields -- Cyclic alternant codes induced by an automorphism of a GRS code -- On Kerdock codes -- Permutation group of the q-ary image of some qm-ary cyclic codes -- The number of solutions to a system of equations and spectra of codes -- The LD probable prime test -- Carmichael numbers and Lucas tests -- On the state complexity of some long codes -- ID-based key distribution system over an elliptic curve -- Symmetric sets of curves and combinatorial arrays -- Weight functions and the extension theorem for linear codes over finite rings. |
| Record Nr. | UNINA-9910828837203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields : theory, applications, and algorithms / / Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors
| Finite fields : theory, applications, and algorithms / / Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1994] |
| Descrizione fisica | 1 online resource (xxx, 402 p. ) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico | Finite fields (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7759-3
0-8218-5505-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Tools for coset weight enumerators of some codes / Pascale Charpin -- Algebraic decoding of cyclic codes: A polynomial ideal point of view / Xuemin Chen, I.S. Reed, T. Helleseth and T.K. Truong -- Polynomial factorisation, graphs, designs and codes / Stephen D. Cohen -- Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs / Ronald Evans -- Combinatorial cryptosystems galore! / Michael Fellows and Neal Koblitz -- A family of cryptosystems based on combinatorial properties of finite geometries / Raul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Global construction of general exceptional covers / Michael D. Fried -- Berlekamp's and Niederreiter's polynomial factorization algorithms / Shuhong Gao and Joachim von zur Gathen -- Hasse-Teichmuller derivatives and products of linear recurring sequences / Rainer Gottfert and Harald Niederreiter -- Factors of period polynomials for finite fields, II / S. Gurak.
A characterization of some ternary codes meeting the Griesmer bound / Noboru Hamada and Tor Helleseth -- Projective geometry codes over prime fields / J.W.P. Hirschfeld and R. Shaw -- Codes over Eisenstein-Jacobi integers / Klaus Huber -- Points on Fermat curves over finite fields / Hubert Kiechle -- Lengths of factorizations for polynomials over a finite field / A. Knopfmacher, J. Knopfmacher and R. Warlimont -- A note on Weil representation of SL[subscript 2](F[subscript q]) and Soto-Andrade sums / Jinghua Kuang -- Some sequences with good autocorrelation properties / Philippe Langevin -- Pellian equation conjecture and absolutely nonsingular projective varieties over a finite field -- Hecke operator and Pellian equation conjecture (IV) / Hongwen Lu -- Strong pseudoprimes and generalized Carmichael numbers / Rex Matthews -- Transformations of 4-regular graphs and equations over finite fields of Chevalley-Warning type / Oscar Moreno and Victor A. Zinoviev. New examples of exceptional polynomials / Peter Muller -- New deterministic factorization algorithms for polynomials over finite fields / Harald Niederreiter -- Discrete logarithms and smooth polynomials / A.M. Odlyzko -- Parents, children, neighbors and the shadow / Vera Pless -- The knapsack problem in cryptography / Minghua Qu and S.A. Vanstone -- Iterated constructions of normal bases over finite fields / Alfred Scheerhorn -- Periodicity properties of kth order linear recurrences whose characteristic polynomial splits completely over a finite field, I / Lawrence Somer -- Generalized Welch-Costas sequences and their application to Vatican arrays / Hong Y. Song and Solomon W. Golomb -- Nonisomorphic complete sets of F-rectangles with varying numbers of symbols / Stephan J. Suchower -- A method of designing cellular automata as pseudorandom number generators for built-in self-test for VLSI / Shu Tezuka and Masanori Fushimi -- Finite ring sums from p-adic K-Bessel functions / Cynthia E. Trimble. On the Gross-Koblitz formula / Paul Thomas Young -- New results on diagonal equations over finite fields from cyclic codes / Jacques Wolfmann -- Open problems and conjectures / Klaus Huber, Ilene H. Morgan, Gary L. Mullen, Harald Niederreiter, A. Odlyzko, Johan van Tilburg and Daqing Wan. |
| Record Nr. | UNINA-9910480705703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1994] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields : theory, applications, and algorithms / / Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors
| Finite fields : theory, applications, and algorithms / / Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1994] |
| Descrizione fisica | 1 online resource (xxx, 402 p. ) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico | Finite fields (Algebra) |
| ISBN |
0-8218-7759-3
0-8218-5505-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Tools for coset weight enumerators of some codes / Pascale Charpin -- Algebraic decoding of cyclic codes: A polynomial ideal point of view / Xuemin Chen, I.S. Reed, T. Helleseth and T.K. Truong -- Polynomial factorisation, graphs, designs and codes / Stephen D. Cohen -- Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs / Ronald Evans -- Combinatorial cryptosystems galore! / Michael Fellows and Neal Koblitz -- A family of cryptosystems based on combinatorial properties of finite geometries / Raul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Global construction of general exceptional covers / Michael D. Fried -- Berlekamp's and Niederreiter's polynomial factorization algorithms / Shuhong Gao and Joachim von zur Gathen -- Hasse-Teichmuller derivatives and products of linear recurring sequences / Rainer Gottfert and Harald Niederreiter -- Factors of period polynomials for finite fields, II / S. Gurak.
A characterization of some ternary codes meeting the Griesmer bound / Noboru Hamada and Tor Helleseth -- Projective geometry codes over prime fields / J.W.P. Hirschfeld and R. Shaw -- Codes over Eisenstein-Jacobi integers / Klaus Huber -- Points on Fermat curves over finite fields / Hubert Kiechle -- Lengths of factorizations for polynomials over a finite field / A. Knopfmacher, J. Knopfmacher and R. Warlimont -- A note on Weil representation of SL[subscript 2](F[subscript q]) and Soto-Andrade sums / Jinghua Kuang -- Some sequences with good autocorrelation properties / Philippe Langevin -- Pellian equation conjecture and absolutely nonsingular projective varieties over a finite field -- Hecke operator and Pellian equation conjecture (IV) / Hongwen Lu -- Strong pseudoprimes and generalized Carmichael numbers / Rex Matthews -- Transformations of 4-regular graphs and equations over finite fields of Chevalley-Warning type / Oscar Moreno and Victor A. Zinoviev. New examples of exceptional polynomials / Peter Muller -- New deterministic factorization algorithms for polynomials over finite fields / Harald Niederreiter -- Discrete logarithms and smooth polynomials / A.M. Odlyzko -- Parents, children, neighbors and the shadow / Vera Pless -- The knapsack problem in cryptography / Minghua Qu and S.A. Vanstone -- Iterated constructions of normal bases over finite fields / Alfred Scheerhorn -- Periodicity properties of kth order linear recurrences whose characteristic polynomial splits completely over a finite field, I / Lawrence Somer -- Generalized Welch-Costas sequences and their application to Vatican arrays / Hong Y. Song and Solomon W. Golomb -- Nonisomorphic complete sets of F-rectangles with varying numbers of symbols / Stephan J. Suchower -- A method of designing cellular automata as pseudorandom number generators for built-in self-test for VLSI / Shu Tezuka and Masanori Fushimi -- Finite ring sums from p-adic K-Bessel functions / Cynthia E. Trimble. On the Gross-Koblitz formula / Paul Thomas Young -- New results on diagonal equations over finite fields from cyclic codes / Jacques Wolfmann -- Open problems and conjectures / Klaus Huber, Ilene H. Morgan, Gary L. Mullen, Harald Niederreiter, A. Odlyzko, Johan van Tilburg and Daqing Wan. |
| Record Nr. | UNINA-9910788645003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1994] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields : theory, applications, and algorithms / / Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors
| Finite fields : theory, applications, and algorithms / / Second International Conference on Finite Fields, Theory, Applications, and Algorithms, August 17-21, 1993, Las Vegas, Nevada ; Gary L. Mullen, Peter Jau-Shyong Shiue, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1994] |
| Descrizione fisica | 1 online resource (xxx, 402 p. ) |
| Disciplina | 512/.3 |
| Collana | Contemporary mathematics |
| Soggetto topico | Finite fields (Algebra) |
| ISBN |
0-8218-7759-3
0-8218-5505-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Tools for coset weight enumerators of some codes / Pascale Charpin -- Algebraic decoding of cyclic codes: A polynomial ideal point of view / Xuemin Chen, I.S. Reed, T. Helleseth and T.K. Truong -- Polynomial factorisation, graphs, designs and codes / Stephen D. Cohen -- Character sums as orthogonal eigenfunctions of adjacency operators for Cayley graphs / Ronald Evans -- Combinatorial cryptosystems galore! / Michael Fellows and Neal Koblitz -- A family of cryptosystems based on combinatorial properties of finite geometries / Raul Figueroa, Pablo M. Salzberg and Peter Jau-Shyong Shiue -- Global construction of general exceptional covers / Michael D. Fried -- Berlekamp's and Niederreiter's polynomial factorization algorithms / Shuhong Gao and Joachim von zur Gathen -- Hasse-Teichmuller derivatives and products of linear recurring sequences / Rainer Gottfert and Harald Niederreiter -- Factors of period polynomials for finite fields, II / S. Gurak.
A characterization of some ternary codes meeting the Griesmer bound / Noboru Hamada and Tor Helleseth -- Projective geometry codes over prime fields / J.W.P. Hirschfeld and R. Shaw -- Codes over Eisenstein-Jacobi integers / Klaus Huber -- Points on Fermat curves over finite fields / Hubert Kiechle -- Lengths of factorizations for polynomials over a finite field / A. Knopfmacher, J. Knopfmacher and R. Warlimont -- A note on Weil representation of SL[subscript 2](F[subscript q]) and Soto-Andrade sums / Jinghua Kuang -- Some sequences with good autocorrelation properties / Philippe Langevin -- Pellian equation conjecture and absolutely nonsingular projective varieties over a finite field -- Hecke operator and Pellian equation conjecture (IV) / Hongwen Lu -- Strong pseudoprimes and generalized Carmichael numbers / Rex Matthews -- Transformations of 4-regular graphs and equations over finite fields of Chevalley-Warning type / Oscar Moreno and Victor A. Zinoviev. New examples of exceptional polynomials / Peter Muller -- New deterministic factorization algorithms for polynomials over finite fields / Harald Niederreiter -- Discrete logarithms and smooth polynomials / A.M. Odlyzko -- Parents, children, neighbors and the shadow / Vera Pless -- The knapsack problem in cryptography / Minghua Qu and S.A. Vanstone -- Iterated constructions of normal bases over finite fields / Alfred Scheerhorn -- Periodicity properties of kth order linear recurrences whose characteristic polynomial splits completely over a finite field, I / Lawrence Somer -- Generalized Welch-Costas sequences and their application to Vatican arrays / Hong Y. Song and Solomon W. Golomb -- Nonisomorphic complete sets of F-rectangles with varying numbers of symbols / Stephan J. Suchower -- A method of designing cellular automata as pseudorandom number generators for built-in self-test for VLSI / Shu Tezuka and Masanori Fushimi -- Finite ring sums from p-adic K-Bessel functions / Cynthia E. Trimble. On the Gross-Koblitz formula / Paul Thomas Young -- New results on diagonal equations over finite fields from cyclic codes / Jacques Wolfmann -- Open problems and conjectures / Klaus Huber, Ilene H. Morgan, Gary L. Mullen, Harald Niederreiter, A. Odlyzko, Johan van Tilburg and Daqing Wan. |
| Record Nr. | UNINA-9910817965903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1994] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors
| Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Coding theory Cryptography |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8140-X
0-8218-4309-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Analysis and optimization of elliptic-curve single-scalar multiplication""; ""On influences of Boolean variables and their computation""; ""Subsequences of Sidelnikov sequences""; ""A multi-level blocking distinct-degree factorization algorithm""; ""New bounds on some parameters in the Waring problem for polynomials over a finite field""; ""Dickson polynomial permutations""; ""Ring theoretic study of linear codes using additive polynomials""; ""Toward a complete twin primes theorem for polynomials over finite fields""
""On the distribution of the elliptic curve power generator""""Discrete logarithms in curves over finite fields""; ""Some remarks on the Hasse-Arf theorem""; ""Character sums for sequences of iterations of Dickson polynomials""; ""What can be used instead of a Barker sequence?""; ""Order dividing extension fields and the root computation problem""; ""Kasami bent functions are not equivalent to their duals""; ""Equidistribution of roots of L-function of Gold exponential sum""; ""Reduced linear modular systems""; ""Cocyclic Butson Hadamard matrices and codes over Zn via the trace map"" ""Dickson permutation polynomials that decompose in cycles of the same length""""The simplex code over Galois rings""; ""Finite fields and Galois geometries"" |
| Record Nr. | UNINA-9910481050203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors
| Finite fields and applications : Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia / / Gary L. Mullen, Daniel Panario, Igor E. Shparlinski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 512.7/4 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Finite fields (Algebra)
Coding theory Cryptography |
| ISBN |
0-8218-8140-X
0-8218-4309-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Analysis and optimization of elliptic-curve single-scalar multiplication -- On influences of Boolean variables and their computation -- Subsequences of Sidelnikov sequences -- A multi-level blocking distinct-degree factorization algorithm -- New bounds on some parameters in the Waring problem for polynomials over a finite field -- Dickson polynomial permutations -- Ring theoretic study of linear codes using additive polynomials -- Toward a complete twin primes theorem for polynomials over finite fields -- On the distribution of the elliptic curve power generator -- Discrete logarithms in curves over finite fields -- Some remarks on the Hasse-Arf theorem -- Character sums for sequences of iterations of Dickson polynomials -- What can be used instead of a Barker sequence? -- Order dividing extension fields and the root computation problem -- Kasami bent functions are not equivalent to their duals -- Equidistribution of roots of L-function of Gold exponential sum -- Reduced linear modular systems -- Cocyclic Butson Hadamard matrices and codes over Zn via the trace map -- Dickson permutation polynomials that decompose in cycles of the same length -- The simplex code over Galois rings -- Finite fields and Galois geometries. |
| Record Nr. | UNINA-9910788794903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
