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Applied Number Theory / / by Harald Niederreiter, Arne Winterhof
| Applied Number Theory / / by Harald Niederreiter, Arne Winterhof |
| Autore | Niederreiter Harald |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (X, 442 p. 20 illus., 7 illus. in color.) |
| Disciplina | 512.7 |
| Soggetto topico |
Number theory
Information theory Data structures (Computer science) Number Theory Information and Communication, Circuits Data Structures and Information Theory |
| ISBN | 3-319-22321-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1 A Review of Number Theory and Algebra -- 2 Cryptography -- 3 Coding Theory -- 4 Quasi-Monte Carlo Methods -- 5 Pseudorandom Numbers -- 6 Further Applications -- Bibliography -- Index. |
| Record Nr. | UNINA-9910300257003321 |
Niederreiter Harald
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Finite fields and their applications : character sums and polynomials / / edited by Pascale Charpin, Alexander Pott, Arne Winterhof
| Finite fields and their applications : character sums and polynomials / / edited by Pascale Charpin, Alexander Pott, Arne Winterhof |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2013 |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina |
512/.3
512.3 |
| Altri autori (Persone) |
CharpinP <1949-> (Pascale)
PottAlexander <1961-> WinterhofArne |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Finite fields (Algebra)
Mathematics Telecommunication systems Electronics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Character Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity / Gong, Guang -- Measures of Pseudorandomness / Gyarmati, Katalin -- Existence Results for Finite Field Polynomials with Specified Properties / Huczynska, Sophie -- Incidence Structures, Codes, and Galois Geometries / Jungnickel, Dieter -- Special Mappings of Finite Fields / Kyureghyan, Gohar M. -- On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions / Hernando, Fernando / McGuire, Gary -- Finite Fields and Quasirandom Points / Niederreiter, Harald -- Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects / Ostafe, Alina -- Additive Combinatorics over Finite Fields: New Results and Applications / Shparlinski, Igor E. -- Index -- Backmatter |
| Record Nr. | UNINA-9910661589203321 |
| Berlin ; ; Boston, : De Gruyter, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Sequences and Their Applications - SETA 2008 [[electronic resource] ] : 5th International Conference Lexington, KY, USA, September 14-18, 2008, Proceedings / / edited by Solomon W. Golomb, Matthew G. Parker, Alexander Pott, Arne Winterhof
| Sequences and Their Applications - SETA 2008 [[electronic resource] ] : 5th International Conference Lexington, KY, USA, September 14-18, 2008, Proceedings / / edited by Solomon W. Golomb, Matthew G. Parker, Alexander Pott, Arne Winterhof |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | 1 online resource (XII, 421 p.) |
| Disciplina | 515.24 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science—Mathematics
Discrete mathematics Computer science Mathematical models Algebra Coding theory Information theory Discrete Mathematics in Computer Science Theory of Computation Mathematical Modeling and Industrial Mathematics Symbolic and Algebraic Manipulation Coding and Information Theory |
| ISBN | 3-540-85912-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Probabilistic Methods and Randomness Properties of Sequences -- Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation -- On Independence and Sensitivity of Statistical Randomness Tests -- New Distinguishers Based on Random Mappings against Stream Ciphers -- A Probabilistic Approach on Estimating the Number of Modular Sonar Sequences -- A Study on the Pseudorandom Properties of Sequences Generated Via the Additive Order -- On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences -- Correlation -- Some Results on the Arithmetic Correlation of Sequences -- A Class of Nonbinary Codes and Sequence Families -- Results on the Crosscorrelation and Autocorrelation of Sequences -- m-Sequences of Lengths 22k ??1 and 2 k ???1 with at Most Four-Valued Cross Correlation -- On the Correlation Distribution of Kerdock Sequences -- Two New Families of Low-Correlation Interleaved QAM Sequences -- Combinatorial and Algebraic Foundations -- The Combinatorics of Differentiation -- Group Representation Design of Digital Signals and Sequences -- Projective de Bruijn Sequences -- Multiplicative Character Sums of Recurring Sequences with Rédei Functions -- On the Connection between Kloosterman Sums and Elliptic Curves -- A Class of Optimal Frequency Hopping Sequences Based upon the Theory of Power Residues -- Security Aspects of Sequences -- Sequences, DFT and Resistance against Fast Algebraic Attacks -- Expected ?-Adic Security Measures of Sequences -- Distance-Avoiding Sequences for Extremely Low-Bandwidth Authentication -- On the Number of Linearly Independent Equations Generated by XL -- 2 n -Periodic Binary Sequences with Fixed k-Error Linear Complexity for k?=?2 or 3 -- Generalized Joint Linear Complexity of Linear Recurring Multisequences -- Algorithms -- A Lattice-Based Minimal Partial Realization Algorithm -- A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space -- Parallel Generation of ?-Sequences -- Correlation of Sequences over Rings -- Design of M-Ary Low Correlation Zone Sequence Sets by Interleaving -- The Peak to Sidelobe Level of the Most Significant Bit of Trace Codes over Galois Rings -- On Partial Correlations of Various Z 4 Sequence Families -- Nonlinear Functions over Finite Fields -- On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations -- On a Class of Permutation Polynomials over -- On 3-to-1 and Power APN S-Boxes -- Negabent Functions in the Maiorana–McFarland Class -- New Perfect Nonlinear Multinomials over F for Any Odd Prime p -- A New Tool for Assurance of Perfect Nonlinearity. |
| Record Nr. | UNISA-996465303803316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Sequences and Their Applications - SETA 2008 : 5th International Conference Lexington, KY, USA, September 14-18, 2008, Proceedings / / edited by Solomon W. Golomb, Matthew G. Parker, Alexander Pott, Arne Winterhof
| Sequences and Their Applications - SETA 2008 : 5th International Conference Lexington, KY, USA, September 14-18, 2008, Proceedings / / edited by Solomon W. Golomb, Matthew G. Parker, Alexander Pott, Arne Winterhof |
| Edizione | [1st ed. 2008.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 |
| Descrizione fisica | 1 online resource (XII, 421 p.) |
| Disciplina | 515.24 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science—Mathematics
Discrete mathematics Computer science Mathematical models Algebra Coding theory Information theory Discrete Mathematics in Computer Science Theory of Computation Mathematical Modeling and Industrial Mathematics Symbolic and Algebraic Manipulation Coding and Information Theory |
| ISBN | 3-540-85912-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Probabilistic Methods and Randomness Properties of Sequences -- Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation -- On Independence and Sensitivity of Statistical Randomness Tests -- New Distinguishers Based on Random Mappings against Stream Ciphers -- A Probabilistic Approach on Estimating the Number of Modular Sonar Sequences -- A Study on the Pseudorandom Properties of Sequences Generated Via the Additive Order -- On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences -- Correlation -- Some Results on the Arithmetic Correlation of Sequences -- A Class of Nonbinary Codes and Sequence Families -- Results on the Crosscorrelation and Autocorrelation of Sequences -- m-Sequences of Lengths 22k ??1 and 2 k ???1 with at Most Four-Valued Cross Correlation -- On the Correlation Distribution of Kerdock Sequences -- Two New Families of Low-Correlation Interleaved QAM Sequences -- Combinatorial and Algebraic Foundations -- The Combinatorics of Differentiation -- Group Representation Design of Digital Signals and Sequences -- Projective de Bruijn Sequences -- Multiplicative Character Sums of Recurring Sequences with Rédei Functions -- On the Connection between Kloosterman Sums and Elliptic Curves -- A Class of Optimal Frequency Hopping Sequences Based upon the Theory of Power Residues -- Security Aspects of Sequences -- Sequences, DFT and Resistance against Fast Algebraic Attacks -- Expected ?-Adic Security Measures of Sequences -- Distance-Avoiding Sequences for Extremely Low-Bandwidth Authentication -- On the Number of Linearly Independent Equations Generated by XL -- 2 n -Periodic Binary Sequences with Fixed k-Error Linear Complexity for k?=?2 or 3 -- Generalized Joint Linear Complexity of Linear Recurring Multisequences -- Algorithms -- A Lattice-Based Minimal Partial Realization Algorithm -- A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space -- Parallel Generation of ?-Sequences -- Correlation of Sequences over Rings -- Design of M-Ary Low Correlation Zone Sequence Sets by Interleaving -- The Peak to Sidelobe Level of the Most Significant Bit of Trace Codes over Galois Rings -- On Partial Correlations of Various Z 4 Sequence Families -- Nonlinear Functions over Finite Fields -- On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations -- On a Class of Permutation Polynomials over -- On 3-to-1 and Power APN S-Boxes -- Negabent Functions in the Maiorana–McFarland Class -- New Perfect Nonlinear Multinomials over F for Any Odd Prime p -- A New Tool for Assurance of Perfect Nonlinearity. |
| Record Nr. | UNINA-9910768441803321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Sequences and Their Applications - SETA 2014 [[electronic resource] ] : 8th International Conference, Melbourne, VIC, Australia, November 24-28, 2014, Proceedings / / edited by Kai-Uwe Schmidt, Arne Winterhof
| Sequences and Their Applications - SETA 2014 [[electronic resource] ] : 8th International Conference, Melbourne, VIC, Australia, November 24-28, 2014, Proceedings / / edited by Kai-Uwe Schmidt, Arne Winterhof |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XI, 315 p. 25 illus.) |
| Disciplina | 515.24 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science—Mathematics
Discrete mathematics Algorithms Cryptography Data encryption (Computer science) Computer networks Electronic data processing—Management Coding theory Information theory Discrete Mathematics in Computer Science Cryptology Computer Communication Networks IT Operations Coding and Information Theory |
| ISBN | 3-319-12325-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Relationships Between CCZ and EA Equivalence Classes and Corresponding Code Invariants -- Boolean Functions -- Results on Constructions of Rotation Symmetric Bent and Semi-bent Functions -- Properties of a Family of Cryptographic Boolean Functions -- A New Transform Related to Distance from a Boolean Function (Extended Abstract) -- Constructing Hyper-Bent Functions from Boolean Functions with the Walsh Spectrum Taking the Same Value Twice -- Characterizations of Plateaued and Bent Functions in Characteristic -- Perfect Sequences -- A Method of Optimisation of the Exhaustive Computer Search for Perfect Sequences -- Almost Six-Phase Sequences with Perfect Periodic Autocorrelation Function -- A Construction for Perfect Periodic Autocorrelation Sequences -- A Simple Construction of Almost Perfect Quinary ASK and QAM Sequences -- Correlation of Arrays -- Inflation of Perfect Arrays Over the Basic Quaternions of Size mn ¼ ðq þ 1Þ=2 -- Families of 3D Arrays for Video Watermarking -- Relative Difference Sets -- The Nonexistence of ð18; 3; 18; 6Þ Relative Difference Sets -- Aperiodic Correlation -- Exhaustive Search for Optimal Minimum Peak Sidelobe Binary Sequences up to Length 80 -- The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers -- Pseudorandom Sequences and Stream Ciphers -- An Equivalence-Preserving Transformation of Shift Registers -- A Lattice Rational Approximation Algorithm for AFSRs Over Quadratic Integer Rings -- On the Lattice Structure of Inversive PRNG via the Additive Order -- Weaknesses in the Initialisation Process of the Common Scrambling Algorithm Stream Cipher -- Distribution Properties of Half-Sequence -- Crosscorrelation of Sequences -- A Note on Cross-Correlation Distribution Between a Ternary m-Sequence and Its Decimated Sequence -- Prime Numbers in Sequences -- Conjectures Involving Sequences and Prime Numbers -- OFDM and CDMA -- Optimal Sign Patterns for a Generalized Schmidl-Cox Method -- A Novel Construction of Asymmetric Sequence Pairs Set with Zero-Correlation Zone -- Frequency-Hopping Sequences On Low-Hit-Zone Frequency-Hopping Sequence Sets with Optimal Partial Hamming Correlation -- Improved Singleton Bound on Frequency Hopping Sequences. |
| Record Nr. | UNISA-996210540403316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Sequences and Their Applications - SETA 2014 : 8th International Conference, Melbourne, VIC, Australia, November 24-28, 2014, Proceedings / / edited by Kai-Uwe Schmidt, Arne Winterhof
| Sequences and Their Applications - SETA 2014 : 8th International Conference, Melbourne, VIC, Australia, November 24-28, 2014, Proceedings / / edited by Kai-Uwe Schmidt, Arne Winterhof |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (XI, 315 p. 25 illus.) |
| Disciplina | 515.24 |
| Collana | Theoretical Computer Science and General Issues |
| Soggetto topico |
Computer science—Mathematics
Discrete mathematics Algorithms Cryptography Data encryption (Computer science) Computer networks Electronic data processing—Management Coding theory Information theory Discrete Mathematics in Computer Science Cryptology Computer Communication Networks IT Operations Coding and Information Theory |
| ISBN | 3-319-12325-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Relationships Between CCZ and EA Equivalence Classes and Corresponding Code Invariants -- Boolean Functions -- Results on Constructions of Rotation Symmetric Bent and Semi-bent Functions -- Properties of a Family of Cryptographic Boolean Functions -- A New Transform Related to Distance from a Boolean Function (Extended Abstract) -- Constructing Hyper-Bent Functions from Boolean Functions with the Walsh Spectrum Taking the Same Value Twice -- Characterizations of Plateaued and Bent Functions in Characteristic -- Perfect Sequences -- A Method of Optimisation of the Exhaustive Computer Search for Perfect Sequences -- Almost Six-Phase Sequences with Perfect Periodic Autocorrelation Function -- A Construction for Perfect Periodic Autocorrelation Sequences -- A Simple Construction of Almost Perfect Quinary ASK and QAM Sequences -- Correlation of Arrays -- Inflation of Perfect Arrays Over the Basic Quaternions of Size mn ¼ ðq þ 1Þ=2 -- Families of 3D Arrays for Video Watermarking -- Relative Difference Sets -- The Nonexistence of ð18; 3; 18; 6Þ Relative Difference Sets -- Aperiodic Correlation -- Exhaustive Search for Optimal Minimum Peak Sidelobe Binary Sequences up to Length 80 -- The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers -- Pseudorandom Sequences and Stream Ciphers -- An Equivalence-Preserving Transformation of Shift Registers -- A Lattice Rational Approximation Algorithm for AFSRs Over Quadratic Integer Rings -- On the Lattice Structure of Inversive PRNG via the Additive Order -- Weaknesses in the Initialisation Process of the Common Scrambling Algorithm Stream Cipher -- Distribution Properties of Half-Sequence -- Crosscorrelation of Sequences -- A Note on Cross-Correlation Distribution Between a Ternary m-Sequence and Its Decimated Sequence -- Prime Numbers in Sequences -- Conjectures Involving Sequences and Prime Numbers -- OFDM and CDMA -- Optimal Sign Patterns for a Generalized Schmidl-Cox Method -- A Novel Construction of Asymmetric Sequence Pairs Set with Zero-Correlation Zone -- Frequency-Hopping Sequences On Low-Hit-Zone Frequency-Hopping Sequence Sets with Optimal Partial Hamming Correlation -- Improved Singleton Bound on Frequency Hopping Sequences. |
| Record Nr. | UNINA-9910484303503321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||