MDS self-dual codes

MDS self-dual codes
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DOI:
10.1109/isit.2004.1365563
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发表时间:
2004-06
期刊:
International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.
影响因子:
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通讯作者:
Jon-Lark Kim;Yoonjin Lee
Jon-Lark Kim;Yoonjin Lee
中科院分区:
其他
文献类型:
--
作者:
Jon-Lark Kim;Yoonjin Lee

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本文对建立方法进行了全面推广[j]。Kim,(2001)]有限域GF(q)上的欧几里得和厄米自对偶码。利用该方法,我们在各种有限域GF(q)上构造了许多新的欧几里得和厄米自对偶MDS(或近MDS)码,其中q=8、9、16、25、32、41、49、53、64、81和128,长度不超过12。
In this paper we develop a complete generalization of the building-up method [J.-L. Kim, (2001)] for the Euclidean and Hermitian self-dual codes over finite fields GF(q). Using this method we construct many new Euclidean and Hermitian self-dual MDS (or near MDS) codes of length up to 12 over various finite fields GF(q), where q=8, 9, 16, 25, 32, 41, 49, 53, 64, 81, and 128.