Efficient Finite Field Basis Conversion Involving Dual Bases

  • Authors:
  • Burton S. Kaliski, Jr.;Moses Liskov

  • Affiliations:
  • -;-

  • Venue:
  • CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
  • Year:
  • 1999

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Abstract

Conversion of finite field elements from one basis representation to another representation in a storage-efficient manner is crucial if these techniques are to be carried out in hardware for cryptographic applications. We present algorithms for conversion to and from dual of polynomial and dual of normal bases, as well as algorithms to convert to a polynomial or normal basis which involve the dual of the basis. This builds on work by Kaliski and Yin presented at SAC '98.