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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We examine various dualities over the fields of even orders, giving new dualities for additive codes. We relate the MacWilliams relations and the duals of $\FF_{2^{2s}}$ codes for these various dualities. We study self-dual codes with respect to these dualities and prove that any subgroup of order $2^s$ of the additive group is a self-dual code with respect to some duality.
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참고문헌 (10)
참고문헌 신청
H. L. Claasen / 1992 / A field-like property of finite rings / Indag. Math. (N.S.) 3(1):11~26
W. C. Huffman / 2013 / On the theory of$\mathbb{F}_{q}-linear\;\mathbb{F}_{{q}^{t}}$ -codes / Adv. Math. Commun. 7(3):349~378
J.-L. Kim / 2001 / New extremal self-dual codes of lengths 36, 38, and 58 / IEEE Trans. Inform. Theory 47(1):386~393
J.-L. Kim / 2016 / Secret sharing schemes based on additive codes over GF(4) / AAECC
J.-L. Kim / 2004 / Euclidean and Hermitian self-dual MDS codes over large finite fields / J. Combin. Theory Ser. A 105(1):79~95
W. C. Huffman / 2013 / On the theory of
J.-L. Kim / 2001 / New extremal self-dual codes of lengths 36, 38, and 58 / IEEE Trans. Inform. Theory 47(1):386~393
J.-L. Kim / 2016 / Secret sharing schemes based on additive codes over GF(4) / AAECC
J.-L. Kim / 2004 / Euclidean and Hermitian self-dual MDS codes over large finite fields / J. Combin. Theory Ser. A 105(1):79~95
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