Θs-cyclic codes over A_k

Irwansyah; Aleams Barra; Steven T. Dougherty; Ahmad Muchlis; Intan Muchtadi-Alamsyah; Patrick Sole; Djoko Suprijanto; Olfa Yemen

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Θs-cyclic codes over A_k

机译：A_k上的Θs循环码

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摘要

We study Θs-cydic codes over the family of rings A_k. We characterize Θs-cyclic codes in terms of their binary images. A family of Hermitian inner-products is defined and we prove that if a code is Θs-cyclic then its Hermitian dual is also Θs-cyclic. Finally, we give constructions of Θs-cyclic codes.

机译：我们研究了环A_k族上的Θ周期码。我们用它们的二进制图像表征Θs循环码。定义了一个Hermitian内积族，我们证明了，如果代码是Θs循环的，那么它的Hermitian对偶也是Θs循环的。最后，我们给出了Θs循环码的构造。

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来源
《International Journal of Computer Mathematics: Computer Systems Theory》 |2016年第4期|14-31|共18页
作者
Irwansyah; Aleams Barra; Steven T. Dougherty; Ahmad Muchlis; Intan Muchtadi-Alamsyah; Patrick Sole; Djoko Suprijanto; Olfa Yemen;
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作者单位

Institut Teknologi Bandung, Bandung, Indonesia;

Institut Teknologi Bandung, Bandung, Indonesia;

Department of Mathematics, University of Scranton, Scranton, PA, USA;

Institut Teknologi Bandung, Bandung, Indonesia;

Institut Teknologi Bandung, Bandung, Indonesia;

Telecom Paris Tech, Paris, France ,Department of Mathematics, University King Abdul Aziz, Jeddah, Saudi Arabia;

Institut Teknologi Bandung, Bandung, Indonesia;

Institut Preparatoire Aux Etudes D'lngénieurs, El Manar, Tunis, Tunisia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Skew-cyclic codes; codes over rings;

机译：斜循环码;环上的代码;

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Θs-cyclic codes over A_k

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