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Published in:
2005 | OriginalPaper | Chapter
Modified Serial Multipliers for Type-IV Gaussian Normal Bases
Authors : Chang Han Kim, Yongtae Kim, Nam Su Chang, IlWhan Park
Published in: Progress in Cryptology - INDOCRYPT 2005
Publisher: Springer Berlin Heidelberg
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The curves recommended by NIST are defined over finite fields
GF
(2
m
) with
m
= 163, 233, 283, 409, 571. Among them
GF
(2
163
) and
GF
(2
409
) have type-IV Gaussian normal bases. Using the Reyhani-Masoleh and Hasan’s serial multiplier for type-I optimal normal basis, in this paper, we propose a new serial multiplier for
GF
(2
m
) with type-
IV
Gaussian normal basis, which reduces the critical XOR path delay of the best known Reyhani-Masoleh and Hasan’s serial multiplier by 25 % and the number of XOR gates of Kwon et al.’s multiplier by 2. Therefore our proposed multiplier can be applicable to implementing the protocols related to the area including ECC under in ubiquitous computing.