ON THE NON-ABELIAN GROUP CODE CAPACITY OF MEMORYLESS CHANNELS

Arpasi Jorge P.

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ON THE NON-ABELIAN GROUP CODE CAPACITY OF MEMORYLESS CHANNELS

机译：论无记忆渠道的非阿比越群代码能力

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摘要

In this work is provided a definition of group encoding capacity C-G of non-Abelian group codes transmitted through symmetric channels. It is shown that this C-G is an upper bound of the set of rates of these non-Abelian group codes that allow reliable transmission. Also, is inferred that the C-G is a lower bound of the channel capacity. After that, is computed the C-G of the group code over the dihedral group transmitted through the 8PSK-AWGN channel then is shown that it equals the channel capacity. It remains an open problem whether there exist non-Abelian group codes of rate arbitrarily close to C-G and arbitrarily small error probability.

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来源
《Advances in mathematics of communications》 |2020年第3期|共14页
作者
Arpasi Jorge P.;
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作者单位

Ave Tiaraju 810 BR-97541151 Alegrete RS Brazil;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Group codes; symmetric channels; group encoding capacity; non-Abelian group codes; converse of Shannon's coding theorem; achievement of channel capacity;

机译：组代码;对称渠道;组编码能力;非阿比越群代码;匡威的香农编码定理;实现渠道能力;

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ON THE NON-ABELIAN GROUP CODE CAPACITY OF MEMORYLESS CHANNELS

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