A Theorem that GF (24m) has no Self-Complementary Normal Bases over GF (2) for Odd m

Masakatu MORII; Kyoki IMAMURA

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Masakatu MORII, Kyoki IMAMURA, "A Theorem that GF (24m) has no Self-Complementary Normal Bases over GF (2) for Odd m" in IEICE TRANSACTIONS on transactions, vol. E67-E, no. 12, pp. 655-656, December 1984, doi: .
Abstract: 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 (2^4m) has no self-complementary normal bases over GF (2) if m is odd, which was recently conjectured by one of the present authors.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e67-e_12_655/_p

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@ARTICLE{e67-e_12_655,
author={Masakatu MORII, Kyoki IMAMURA, },
journal={IEICE TRANSACTIONS on transactions},
title={A Theorem that GF (24m) has no Self-Complementary Normal Bases over GF (2) for Odd m},
year={1984},
volume={E67-E},
number={12},
pages={655-656},
abstract={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 (2^4m) has no self-complementary normal bases over GF (2) if m is odd, which was recently conjectured by one of the present authors.},
keywords={},
doi={},
ISSN={},
month={December},}

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TY - JOUR
TI - A Theorem that GF (24m) has no Self-Complementary Normal Bases over GF (2) for Odd m
T2 - IEICE TRANSACTIONS on transactions
SP - 655
EP - 656
AU - Masakatu MORII
AU - Kyoki IMAMURA
PY - 1984
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E67-E
IS - 12
JA - IEICE TRANSACTIONS on transactions
Y1 - December 1984
AB - 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 (2^4m) has no self-complementary normal bases over GF (2) if m is odd, which was recently conjectured by one of the present authors.
ER -