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Cryptography Arithmetic [[electronic resource] ] : Algorithms and Hardware Architectures / / by Amos R. Omondi
Cryptography Arithmetic [[electronic resource] ] : Algorithms and Hardware Architectures / / by Amos R. Omondi
Autore Omondi Amos R
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Descrizione fisica 1 online resource (XIV, 336 p. 73 illus.)
Disciplina 652.8
Collana Advances in Information Security
Soggetto topico Data structures (Computer science)
Data encryption (Computer science)
Microprocessors
Electronic circuits
Data Structures and Information Theory
Cryptology
Processor Architectures
Circuits and Systems
ISBN 3-030-34142-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Basic Computer Arithmetic -- 2 Mathematical Fundamentals I: Number Theory -- 3 Modular-Arithmetic Cryptosystems -- 4 Modular Reduction -- 5 Modular Addition and Multiplication -- 6 Modular Exponentiation, Inversion, and Division -- 7 Mathematical Fundamentals II: Abstract Algebra -- 8 Elliptic-Curve Basics -- 9 Elliptic-Curve Cryptosystems -- 10 Polynomial-basis arithmetic -- 11 Normal-basis arithmetic -- A Mathematical Proofs -- Index.
Record Nr. UNINA-9910373926603321
Omondi Amos R  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Cryptography Arithmetic [[electronic resource] ] : Algorithms and Hardware Architectures / / by Amos R. Omondi
Cryptography Arithmetic [[electronic resource] ] : Algorithms and Hardware Architectures / / by Amos R. Omondi
Autore Omondi Amos R
Edizione [1st ed. 2020.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Descrizione fisica 1 online resource (XIV, 336 p. 73 illus.)
Disciplina 652.8
Collana Advances in Information Security
Soggetto topico Data structures (Computer science)
Data encryption (Computer science)
Microprocessors
Electronic circuits
Data Structures and Information Theory
Cryptology
Processor Architectures
Circuits and Systems
ISBN 3-030-34142-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Basic Computer Arithmetic -- 2 Mathematical Fundamentals I: Number Theory -- 3 Modular-Arithmetic Cryptosystems -- 4 Modular Reduction -- 5 Modular Addition and Multiplication -- 6 Modular Exponentiation, Inversion, and Division -- 7 Mathematical Fundamentals II: Abstract Algebra -- 8 Elliptic-Curve Basics -- 9 Elliptic-Curve Cryptosystems -- 10 Polynomial-basis arithmetic -- 11 Normal-basis arithmetic -- A Mathematical Proofs -- Index.
Record Nr. UNISA-996465351903316
Omondi Amos R  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Residue number systems [[electronic resource] ] : theory and implementation / / Amos Omondi, Benjamin Premkumar
Residue number systems [[electronic resource] ] : theory and implementation / / Amos Omondi, Benjamin Premkumar
Autore Omondi Amos R
Pubbl/distr/stampa London, : Imperial College Press
Descrizione fisica 1 online resource (311 p.)
Disciplina 512.72
Altri autori (Persone) PremkumarBenjamin
Collana Advances in computer science and engineering: Texts
Soggetto topico Congruences and residues
Modular arithmetic
Signal processing - Digital techniques
Soggetto genere / forma Electronic books.
ISBN 1-281-86758-6
9786611867584
1-86094-867-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface ; Acknowledgements; 1. Introduction; 1.1 Conventional number systems; 1.2 Redundant signed-digit number systems; 1.3 Residue number systems and arithmetic; 1.3.1 Choice of moduli; 1.3.2 Negative numbers; 1.3.3 Basic arithmetic; 1.3.4 Conversion; 1.3.5 Base extension; 1.3.6 Alternative encodings; 1.4 Using residue number systems; 1.5 Summary; References; 2. Mathematical fundamentals; 2.1 Properties of congruences; 2.2 Basic number representation; 2.3 Algebra of residues; 2.4 Chinese Remainder Theorem; 2.5 Complex residue-number systems; 2.6 Redundant residue number systems
2.7 The Core Function2.8 Summary; References; 3. Forward conversion; 3.1 Special moduli-sets; 3.1.1 {2n-1, 2n; 2n+1g} moduli-sets; 3.1.2 Extended special moduli-sets; 3.2 Arbitrary moduli-sets: look-up tables; 3.2.1 Serial/sequential conversion; 3.2.2 Sequential/parallel conversion: arbitrary partitioning; 3.2.3 Sequential/parallel conversion: periodic partitioning; 3.3 Arbitrary moduli-sets: combinational logic; 3.3.1 Modular exponentiation; 3.3.2 Modular exponentiation with periodicity; 3.4 Summary; References; 4. Addition; 4.1 Conventional adders; 4.1.1 Ripple adder
4.1.2 Carry-skip adder4.1.3 Carry-lookahead adders; 4.1.4 Conditional-sum adder; 4.1.5 Parallel-prex̄ adders; 4.1.6 Carry-select adder; 4.2 Residue addition: arbitrary modulus; 4.3 Addition modulo 2n-1; 4.3.1 Ripple adder; 4.3.2 Carry-lookahead adder; 4.3.3 Parallel-prefix adder; 4.4 Addition modulo 2n + 1; 4.4.1 Diminished-one addition; 4.4.2 Direct addition; 4.5 Summary; References; 5. Multiplication; 5.1 Conventional multiplication; 5.1.1 Basic binary multiplication; 5.1.2 High-radix multiplication; 5.2 Conventional division; 5.2.1 Subtractive division; 5.2.2 Multiplicative division
5.3 Modular multiplication: arbitrary modulus5.3.1 Table lookup; 5.3.2 Modular reduction of partial products; 5.3.3 Product partitioning; 5.3.4 Multiplication by reciprocal of modulus; 5.3.5 Subtractive division; 5.4 Modular multiplication: modulus 2n-1; 5.5 Modular multiplication: modulus 2n + 1; 5.6 Summary; References; 6. Comparison, overflow-detection, sign-determination, scaling, and division; 6.1 Comparison; 6.1.1 Sum-of-quotients technique; 6.1.2 Core Function and parity; 6.2 Scaling; 6.3 Division; 6.3.1 Subtractive division; 6.3.1.1 Basic subtractive division
6.3.1.2 Pseudo-SRT division6.3.2 Multiplicative division; 6.4 Summary; References; 7. Reverse conversion; 7.1 Chinese Remainder Theorem; 7.1.1 Pseudo-SRT implementation; 7.1.2 Base-extension implementation; 7.2 Mixed-radix number systems and conversion; 7.3 The Core Function; 7.4 Reverse converters for f2n ¡ 1; 2n; 2n + 1g moduli-sets; 7.5 High-radix conversion; 7.6 Summary; References; 8. Applications; 8.1 Digital signal processing; 8.1.1 Digital filters; 8.1.1.1 Finite Impulse Response l̄ters; 8.1.1.2 Infinite Impulse Response Filters; 8.1.2 Sum-of-products evaluation
8.1.3 Discrete Fourier Transform
Record Nr. UNINA-9910458111003321
Omondi Amos R  
London, : Imperial College Press
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Residue number systems [[electronic resource] ] : theory and implementation / / Amos Omondi, Benjamin Premkumar
Residue number systems [[electronic resource] ] : theory and implementation / / Amos Omondi, Benjamin Premkumar
Autore Omondi Amos R
Pubbl/distr/stampa London, : Imperial College Press
Descrizione fisica 1 online resource (311 p.)
Disciplina 512.72
Altri autori (Persone) PremkumarBenjamin
Collana Advances in computer science and engineering: Texts
Soggetto topico Congruences and residues
Modular arithmetic
Signal processing - Digital techniques
ISBN 1-281-86758-6
9786611867584
1-86094-867-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface ; Acknowledgements; 1. Introduction; 1.1 Conventional number systems; 1.2 Redundant signed-digit number systems; 1.3 Residue number systems and arithmetic; 1.3.1 Choice of moduli; 1.3.2 Negative numbers; 1.3.3 Basic arithmetic; 1.3.4 Conversion; 1.3.5 Base extension; 1.3.6 Alternative encodings; 1.4 Using residue number systems; 1.5 Summary; References; 2. Mathematical fundamentals; 2.1 Properties of congruences; 2.2 Basic number representation; 2.3 Algebra of residues; 2.4 Chinese Remainder Theorem; 2.5 Complex residue-number systems; 2.6 Redundant residue number systems
2.7 The Core Function2.8 Summary; References; 3. Forward conversion; 3.1 Special moduli-sets; 3.1.1 {2n-1, 2n; 2n+1g} moduli-sets; 3.1.2 Extended special moduli-sets; 3.2 Arbitrary moduli-sets: look-up tables; 3.2.1 Serial/sequential conversion; 3.2.2 Sequential/parallel conversion: arbitrary partitioning; 3.2.3 Sequential/parallel conversion: periodic partitioning; 3.3 Arbitrary moduli-sets: combinational logic; 3.3.1 Modular exponentiation; 3.3.2 Modular exponentiation with periodicity; 3.4 Summary; References; 4. Addition; 4.1 Conventional adders; 4.1.1 Ripple adder
4.1.2 Carry-skip adder4.1.3 Carry-lookahead adders; 4.1.4 Conditional-sum adder; 4.1.5 Parallel-prex̄ adders; 4.1.6 Carry-select adder; 4.2 Residue addition: arbitrary modulus; 4.3 Addition modulo 2n-1; 4.3.1 Ripple adder; 4.3.2 Carry-lookahead adder; 4.3.3 Parallel-prefix adder; 4.4 Addition modulo 2n + 1; 4.4.1 Diminished-one addition; 4.4.2 Direct addition; 4.5 Summary; References; 5. Multiplication; 5.1 Conventional multiplication; 5.1.1 Basic binary multiplication; 5.1.2 High-radix multiplication; 5.2 Conventional division; 5.2.1 Subtractive division; 5.2.2 Multiplicative division
5.3 Modular multiplication: arbitrary modulus5.3.1 Table lookup; 5.3.2 Modular reduction of partial products; 5.3.3 Product partitioning; 5.3.4 Multiplication by reciprocal of modulus; 5.3.5 Subtractive division; 5.4 Modular multiplication: modulus 2n-1; 5.5 Modular multiplication: modulus 2n + 1; 5.6 Summary; References; 6. Comparison, overflow-detection, sign-determination, scaling, and division; 6.1 Comparison; 6.1.1 Sum-of-quotients technique; 6.1.2 Core Function and parity; 6.2 Scaling; 6.3 Division; 6.3.1 Subtractive division; 6.3.1.1 Basic subtractive division
6.3.1.2 Pseudo-SRT division6.3.2 Multiplicative division; 6.4 Summary; References; 7. Reverse conversion; 7.1 Chinese Remainder Theorem; 7.1.1 Pseudo-SRT implementation; 7.1.2 Base-extension implementation; 7.2 Mixed-radix number systems and conversion; 7.3 The Core Function; 7.4 Reverse converters for f2n ¡ 1; 2n; 2n + 1g moduli-sets; 7.5 High-radix conversion; 7.6 Summary; References; 8. Applications; 8.1 Digital signal processing; 8.1.1 Digital filters; 8.1.1.1 Finite Impulse Response l̄ters; 8.1.1.2 Infinite Impulse Response Filters; 8.1.2 Sum-of-products evaluation
8.1.3 Discrete Fourier Transform
Record Nr. UNINA-9910784884103321
Omondi Amos R  
London, : Imperial College Press
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Residue number systems [[electronic resource] ] : theory and implementation / / Amos Omondi, Benjamin Premkumar
Residue number systems [[electronic resource] ] : theory and implementation / / Amos Omondi, Benjamin Premkumar
Autore Omondi Amos R
Edizione [1st ed.]
Pubbl/distr/stampa London, : Imperial College Press
Descrizione fisica 1 online resource (311 p.)
Disciplina 512.72
Altri autori (Persone) PremkumarBenjamin
Collana Advances in computer science and engineering: Texts
Soggetto topico Congruences and residues
Modular arithmetic
Signal processing - Digital techniques
ISBN 1-281-86758-6
9786611867584
1-86094-867-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface ; Acknowledgements; 1. Introduction; 1.1 Conventional number systems; 1.2 Redundant signed-digit number systems; 1.3 Residue number systems and arithmetic; 1.3.1 Choice of moduli; 1.3.2 Negative numbers; 1.3.3 Basic arithmetic; 1.3.4 Conversion; 1.3.5 Base extension; 1.3.6 Alternative encodings; 1.4 Using residue number systems; 1.5 Summary; References; 2. Mathematical fundamentals; 2.1 Properties of congruences; 2.2 Basic number representation; 2.3 Algebra of residues; 2.4 Chinese Remainder Theorem; 2.5 Complex residue-number systems; 2.6 Redundant residue number systems
2.7 The Core Function2.8 Summary; References; 3. Forward conversion; 3.1 Special moduli-sets; 3.1.1 {2n-1, 2n; 2n+1g} moduli-sets; 3.1.2 Extended special moduli-sets; 3.2 Arbitrary moduli-sets: look-up tables; 3.2.1 Serial/sequential conversion; 3.2.2 Sequential/parallel conversion: arbitrary partitioning; 3.2.3 Sequential/parallel conversion: periodic partitioning; 3.3 Arbitrary moduli-sets: combinational logic; 3.3.1 Modular exponentiation; 3.3.2 Modular exponentiation with periodicity; 3.4 Summary; References; 4. Addition; 4.1 Conventional adders; 4.1.1 Ripple adder
4.1.2 Carry-skip adder4.1.3 Carry-lookahead adders; 4.1.4 Conditional-sum adder; 4.1.5 Parallel-prex̄ adders; 4.1.6 Carry-select adder; 4.2 Residue addition: arbitrary modulus; 4.3 Addition modulo 2n-1; 4.3.1 Ripple adder; 4.3.2 Carry-lookahead adder; 4.3.3 Parallel-prefix adder; 4.4 Addition modulo 2n + 1; 4.4.1 Diminished-one addition; 4.4.2 Direct addition; 4.5 Summary; References; 5. Multiplication; 5.1 Conventional multiplication; 5.1.1 Basic binary multiplication; 5.1.2 High-radix multiplication; 5.2 Conventional division; 5.2.1 Subtractive division; 5.2.2 Multiplicative division
5.3 Modular multiplication: arbitrary modulus5.3.1 Table lookup; 5.3.2 Modular reduction of partial products; 5.3.3 Product partitioning; 5.3.4 Multiplication by reciprocal of modulus; 5.3.5 Subtractive division; 5.4 Modular multiplication: modulus 2n-1; 5.5 Modular multiplication: modulus 2n + 1; 5.6 Summary; References; 6. Comparison, overflow-detection, sign-determination, scaling, and division; 6.1 Comparison; 6.1.1 Sum-of-quotients technique; 6.1.2 Core Function and parity; 6.2 Scaling; 6.3 Division; 6.3.1 Subtractive division; 6.3.1.1 Basic subtractive division
6.3.1.2 Pseudo-SRT division6.3.2 Multiplicative division; 6.4 Summary; References; 7. Reverse conversion; 7.1 Chinese Remainder Theorem; 7.1.1 Pseudo-SRT implementation; 7.1.2 Base-extension implementation; 7.2 Mixed-radix number systems and conversion; 7.3 The Core Function; 7.4 Reverse converters for f2n ¡ 1; 2n; 2n + 1g moduli-sets; 7.5 High-radix conversion; 7.6 Summary; References; 8. Applications; 8.1 Digital signal processing; 8.1.1 Digital filters; 8.1.1.1 Finite Impulse Response l̄ters; 8.1.1.2 Infinite Impulse Response Filters; 8.1.2 Sum-of-products evaluation
8.1.3 Discrete Fourier Transform
Record Nr. UNINA-9910819944903321
Omondi Amos R  
London, : Imperial College Press
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The microarchitecture of pipelined and superscalar computers / by Amos R. Omondi
The microarchitecture of pipelined and superscalar computers / by Amos R. Omondi
Autore Omondi, Amos R.
Pubbl/distr/stampa Boston [etc.], : Kuwer Academic, 1999
Descrizione fisica XI, 265 p. : ill. ; 25 cm
Disciplina 004.165
Soggetto topico Microelaboratori - Struttura
ISBN 0792384636
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISANNIO-NAP0391727
Omondi, Amos R.  
Boston [etc.], : Kuwer Academic, 1999
Materiale a stampa
Lo trovi qui: Univ. del Sannio
Opac: Controlla la disponibilità qui