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Erschienen in:
2010 | OriginalPaper | Buchkapitel
Mixed Bases for Efficient Inversion in and Conversion Matrices of SubBytes of AES
verfasst von : Yasuyuki Nogami, Kenta Nekado, Tetsumi Toyota, Naoto Hongo, Yoshitaka Morikawa
Erschienen in: Cryptographic Hardware and Embedded Systems, CHES 2010
Verlag: Springer Berlin Heidelberg
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A lot of improvements and optimizations for the hardware implementation of
SubBytes
of Rijndael, in detail
inversion
in
${\mathbb F}_{2^8}$
have been reported. Instead of the Rijndael original
${\mathbb F}_{2^8}$
, it is known that its isomorphic tower field
${{\mathbb F}{((2^2)^2)}{2}}$
has a more efficient inversion. For the towerings, several kinds of bases such as polynomial and normal bases can be used in
mixture
. Different from the meaning of this
mixture
of bases, this paper proposes another
mixture
that contributes to the reduction of the critical path delay of
SubBytes
. To the
${{\mathbb F}{(2^2)}{2}}$
–inversion architecture, for example, the proposed
mixture
inputs and outputs elements represented with normal and polynomial bases, respectively.