Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes

Gerardo Vega

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Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes

机译：由两个一重循环码的直接和构成的二重循环码

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摘要

We present a new family of two-weight cyclic codes that can be constructed as the direct sum of two one-weight cyclic codes. For this new kind of two-weight cyclic codes, we give their weight enumerator polynomials, and characterize those that are projective.

机译：我们提出了一个新的二重循环码系列，可以将其构造为两个一重循环码的直接和。对于这种新型的二重循环码，我们给出它们的权重枚举多项式，并刻画那些是射影的。

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来源
《Finite fields and their applications》 |2008年第3期|p.785-797|共13页
作者
Gerardo Vega;
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作者单位

Direction General de Servicios de Computo Academico, Universidad National Autonoma de Mexico, 04510 Mexico DF, Mexico;

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原文格式 PDF
正文语种 eng
中图分类数理科学和化学;
关键词
one-weight cyclic codes; two-weight cyclic codes; gaussian sums;

机译：一重循环码;二重循环码;高斯和;

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机译：Fp + vFp上的一重和二重码的最佳p-Ary码
2. Cyclic unequal error protection codes constructed from cyclic codes of composite length [J] . Lin M.-C., Lin S. IEEE Transactions on Information Theory . 1988,第4期

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3. One-weight and two-weight Z_2Z_2[u, v]-additive codes [J] . Shi Minjia, Wang Chenchen, Wu Rongsheng, Cryptography and Communications . 2020,第3期

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4. Two-Weight Codes Punctured from Irreducible Cyclic Codes [C] . Cunsheng Ding, Jinquan Luo, Harald Niederreiter International Workshop on Coding and Cryptology . 2008

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5. New quasi-cyclic and quasi-twisted codes and an optimal family of polynomial codes. [D] . Aydin, Nuh. 2002

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6. Transcription Factor Binding Profiles Reveal Cyclic Expression of Human Protein-coding Genes and Non-coding RNAs [O] . Chao Cheng, Matthew Ung, Gavin D. Grant, 2013

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7. Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes [O] . Vega Gerardo 2008

机译：由两个一重循环码的直接和构成的二重循环码

Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes

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