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Fast Truncated Multiplication for Cryptographic Applications

  • Laszlo Hars
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3659)

Abstract

The Truncated Multiplication computes a truncated product, a contiguous subsequence of the digits of the product of 2 integers. A few truncated polynomial multiplication algorithms are presented and adapted to integers. They are based on the most often used n-digit full multiplication algorithms of time complexity O(n α ), with 1< α ≤ 2, but a constant times faster. For example, the least significant half products with Karatsuba multiplication need only 80% of the full multiplication time. The faster the multiplication, the less relative time saving can be achieved.

Keywords

Computer Arithmetic Short product Truncated product Cryptography RSA cryptosystem Modular multiplication Montgomery multiplication Karatsuba multiplication Barrett multiplication Optimization 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Laszlo Hars
    • 1
  1. 1.Seagate ResearchPittsburghUSA

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