Hardware Implementation of Finite-Field Arithmetic

Jean-Pierre Deschamps

Hardware Implementation of Finite-Field Arithmetic
  • 出版商: McGraw-Hill Education
  • 出版日期: 2009-03-01
  • 定價: $4,375
  • 售價: 8.0 折 $3,500
  • 語言: 英文
  • 頁數: 360
  • 裝訂: Hardcover
  • ISBN: 0071545816
  • ISBN-13: 9780071545815
  • 相關分類: FPGA

    • 立即出貨 (庫存=1)

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商品描述

Implement Finite-Field Arithmetic in Specific Hardware (FPGA and ASIC)

Master cutting-edge electronic circuit synthesis and design with help from this detailed guide. Hardware Implementation of Finite-Field Arithmetic describes algorithms and circuits for executing finite-field operations, including addition, subtraction, multiplication, squaring, exponentiation, and division.

This comprehensive resource begins with an overview of mathematics, covering algebra, number theory, finite fields, and cryptography. The book then presents algorithms which can be executed and verified with actual input data. Logic schemes and VHDL models are described in such a way that the corresponding circuits can be easily simulated and synthesized. The book concludes with a real-world example of a finite-field application--elliptic-curve cryptography. This is an essential guide for hardware engineers involved in the development of embedded systems.

Get detailed coverage of:

  • Modulo m reduction
  • Modulo m addition, subtraction, multiplication, and exponentiation
  • Operations over GF(p) and GF(pm)
  • Operations over the commutative ring Zp[x]/f(x)
  • Operations over the binary field GF(2m) using normal, polynomial, dual, and triangular

商品描述(中文翻譯)

在特定硬體（FPGA和ASIC）中實現有限域算術

藉助這本詳細指南，掌握尖端的電子電路合成和設計。《有限域算術的硬體實現》描述了執行有限域操作的算法和電路，包括加法、減法、乘法、平方、冪運算和除法。

這本全面的資源首先概述了數學，包括代數、數論、有限域和密碼學。然後介紹了可以使用實際輸入數據執行和驗證的算法。以一種易於模擬和合成相應電路的方式描述了邏輯方案和VHDL模型。書籍最後以一個有限域應用的實際例子——橢圓曲線密碼學作為結尾。這是硬體工程師在嵌入式系統開發中必不可少的指南。

詳細內容包括：

- 模m降低
- 模m的加法、減法、乘法和冪運算
- 在GF(p)和GF(p^m)上的操作
- 在交換環Zp[x]/f(x)上的操作
- 使用正常、多項式、雙重和三角形的二進制域GF(2^m)上的操作

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