Storage-Efficient Finite Field Basis Conversion
SAC '98 Proceedings of the Selected Areas in Cryptography
Efficient Software Implementation for Finite Field Multiplication in Normal Basis
ICICS '01 Proceedings of the Third International Conference on Information and Communications Security
Constructing Composite Field Representations for Efficient Conversion
IEEE Transactions on Computers
An Efficient Basis Conversion Algorithm for Composite Fields with Given Representations
IEEE Transactions on Computers
Efficient Multiplication Using Type 2 Optimal Normal Bases
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
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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.