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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. | UNISA-996465351903316 |
Omondi Amos R
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Cryptography Arithmetic : Algorithms and Hardware Architectures / / by Amos R. Omondi
| Cryptography Arithmetic : 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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 | ||
| ||
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 |
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Omondi, Amos R.
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||
| Boston [etc.], : Kuwer Academic, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Sannio | ||
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