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A Theorem that GF (24m) has no Self-Complementary Normal Bases over GF (2) for Odd m
Masakatu MORII Kyoki IMAMURA
IEICE TRANSACTIONS (1976-1990)
Publication Date: 1984/12/25
Print ISSN: 0000-0000
Type of Manuscript: LETTER
Full Text: PDF(111.8KB)>>
A self-complementary basis of a finite field corresponds to the orthonormal basis of a vector metric space. This paper presents a theorem that GF (24m) has no self-complementary normal bases over GF (2) if m is odd, which was recently conjectured by one of the present authors.