Title: Digit-Serial Finite Field Multipliers for GF($3^m$)
Abstract: Recently, a considerable number of studies have been conducted on pairing based cryptosystems. The efficiency of pairing based cryptosystems depends on finite fields, similar to existing public key cryptosystems. In general, pairing based ctyptosystems are defined over finite fields of chracteristic three, GF(), based on trinomials. A multiplication in GF() is the most dominant operation. This paper proposes a new most significant digit(MSD)-first digit- serial multiplier. The proposed MSD-first digit-serial multiplier has the same area complexity compared to previous multipliers, since the modular reduction step is performed in parallel. And the critical path delay is reduced from 1MUL+(log +1)ADD to 1MUL+(log )ADD. Therefore, when the digit size is not , the time delay is reduced by one addition.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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