Finite field arithmetic

This book is intended as a guide for security professionals, developers, and those interested in learning how elliptic curve cryptography can be deployed to secure applications. The presentation is targeted to a diverse audience, and generally assumes no more than an undergraduate degree in computer science, engineering, or mathematics. The book was not written for theoreticians as is evident from the lack of proofs for mathematical statements.

332p zizaybay1103 29-05-2024 3 2   Download

Part 1 book "VLSI architectures for modern error-correcting codes" includes content: Finite field arithmetic, VLSI architecture design fundamentals, root computations for polynomials over finite fields, algebraic soft-decision Reed-Solomon decoder architectures, Reed-Solomon encoder and hard-decision and erasure decoder architectures, interpolation-based Chase and generalized minimum distance decoders.

211p dianmotminh00 17-04-2024 3 2   Download

Handbook of elliptic and hyperelliptic curve cryptography: Part 1 presents the following content: Chapter 1 introduction to public-key cryptography, chapter 2 algebraic background, chapter 3 background on p-adic numbers, chapter 4 background on curves and jacobians, chapter 5 varieties over special fields, chapter 6 background on pairings, chapter 7 background on weil descent, chapter 8 cohomological backgroundon point counting, chapter 9 exponentiation, chapter 10 integer arithmetic, chapter 11 finite field arithmetic, chapter 12 arithmetic of p-adic numbers, chapter 13 arithmetic of ellip...

423p runthenight08 12-04-2023 8 5   Download

This chapter presents the following content: Number theory, divisibility & GCD, modular arithmetic with integers, Euclid’s algorithm for GCD & inverse, the AES selection process, the details of Rijndael – the AES cipher, looked at the steps in each round out of four AES stages.

52p koxih_kothogmih3 24-08-2020 11 3   Download

This chapter presents the following content: Number theory, divisibility & GCD, modular arithmetic with integers, Euclid’s algorithm for GCD & inverse, Group, Ring, Field, finite fields GF(p), polynomial arithmetic in general and in GF(2n).

51p koxih_kothogmih3 24-08-2020 39 3   Download

In this work, we present a survey of efficient techniques for software implementation of finite field arithmetic especially suitable for cryptographic applications.

30p dunglh2013 02-04-2014 41 1   Download

In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We present two novel algorithms for efficient implementation of field multiplication and modular reduction used frequently in an elliptic curve cryptosystem defined over GF (2n ).

10p dunglh2013 02-04-2014 53 0   Download