| 具有3阶自同构的二元自对偶码的一种分解性质 |
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| 引用本文： | 宋文兔. 具有3阶自同构的二元自对偶码的一种分解性质[J]. 绵阳师范学院学报, 2007, 26(2): 21-23 |
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| 作者姓名： | 宋文兔 |
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| 作者单位： | 绵阳师范学院数学与信息科学系,四川绵阳,621000 |
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| 摘 要： | 给出了具有3阶自同构的二元自对偶码的一种分解性质,得到的结果是,Fn2的子集是具有3阶自同构的自对偶码当且仅当它可以分解为两个线性子码的直和,而这两个线性子码可以分别看作F2和F4上长度较小的自对偶码和Hermite自对偶码。
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| 关 键 词： | 自对偶码 自同构 直和 |
| 文章编号： | 24313496 |
| 修稿时间： | 2006-11-12 |
Decomposition Property of Binary Self-dual Codes with an Automorphism of Order 3 |
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| SONG Wen-tu. Decomposition Property of Binary Self-dual Codes with an Automorphism of Order 3[J]. Journal of Mianyang Normal University, 2007, 26(2): 21-23 |
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| Authors: | SONG Wen-tu |
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| Affiliation: | Department of Mathematics and Information science, Mianyang Normal University, Mianyang, Sichuan 621000 |
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| Abstract: | In this paper,a decomposition property of binary self-dual codes with an automorphism of order 3 is obtained.In brief,a binary code is a self-dual with an automorphism of order 3,if and only if it is a direct sum of two linear subcodes,besides,the two linear subcodes can be regarded respectively as self-dual code on and Hermitian self-dual code on with smaller length. |
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| Keywords: | self-dual codes automorphism direct sum |
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