TY - JOUR
T1 - A method for constructing a pseudo self-dual normal basis
AU - Nasu, Hiroaki
AU - Nogami, Yasuyuki
AU - Uehara, Satoshi
AU - Namba, Ryo
AU - Morikawa, Yoshitaka
N1 - Funding Information:
This work was supported by ‘‘R&D for advancement of functionality and usability in information history management’’ from the Ministry of Internal Affairs and Communications, Japan.
PY - 2008/8
Y1 - 2008/8
N2 - Self-dual normal basis is efficient for the arithmetic operations in extension field and especially trace calculation. However, self-dual normal bases do not exist in [image omitted] when characteristic p is odd and degree m is even. This paper proposes a method to construct an efficient normal basis for trace calculation when extension degree is even. In this paper, we call it pseudo self-dual normal basis.
AB - Self-dual normal basis is efficient for the arithmetic operations in extension field and especially trace calculation. However, self-dual normal bases do not exist in [image omitted] when characteristic p is odd and degree m is even. This paper proposes a method to construct an efficient normal basis for trace calculation when extension degree is even. In this paper, we call it pseudo self-dual normal basis.
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U2 - 10.1080/01969720802188201
DO - 10.1080/01969720802188201
M3 - Article
AN - SCOPUS:49549084158
SN - 0196-9722
VL - 39
SP - 563
EP - 582
JO - Cybernetics and Systems
JF - Cybernetics and Systems
IS - 6
ER -