Mathematics of Digital Communications: From Finite Fields to Group Rings and Noncommutative Algebra

被引：0
|
作者：
Hassan Khodaiemehr
Dariush Kiani
机构：
[1] K. N. Toosi University of Technology,Department of Mathematics
[2] Institute for Research in Fundamental Sciences (IPM),School of Mathematics
[3] Amirkabir University of Technology,Department of Mathematics and Computer Science
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2020年 / 44卷
关键词：
Crossed product algebra; Group ring; LDPC codes; 16S35; 12E15; 94B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we present some recent instances of applying algebraic tools from different categories, in the design of digital communications systems. More specifically, we present a structure based on the elements of a group ring for constructing and encoding QC-LDPC codes. As another instance, we present the construction of space-time block codes from the rings of twisted Laurent series which include some instances of crossed product and non-crossed product division algebras.
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页码：1617 / 1627
页数：10
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