A METHOD FOR CONSTRUCTING A PSEUDO SELF-DUAL NORMAL BASIS
Hiroaki Nasu, Yasuyuki Nogami, Satoshi Uehara, Ryo Namba, Yoshitaka Morikawa · Cybernetics & Systems · 2008
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 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.