decoding algorithms;
Galois rings;
linear codes;
quaternary codes;
D O I:
10.1109/18.923743
中图分类号:
TP [自动化技术、计算机技术];
学科分类号:
0812 ;
摘要:
In this correspondence, we present a method for decoding an arbitrary linear code over a Galois ring R by a process of lifting decoding algorithms for a family of linear codes over a finite field K: forming an alpha -element chain, where K: is the quotient field of a and a has characteristic p(alpha). As a new result, this method also works for linear codes over R which are nonfree R-modules.
机构:
Shandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R ChinaShandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R China
Gao, Jian
Meng, Xiangrui
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机构:
Shandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R ChinaShandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R China
Meng, Xiangrui
Fu, Fang-Wei
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机构:
Chern Inst Math, Tianjin, Peoples R China
LPMC, Tianjin, Peoples R China
Nankai Univ, Tianjin Key Lab Network & Data Secur Technol, Tianjin 300071, Peoples R ChinaShandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
Liu, Hongwei
Maouche, Youcef
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机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
Univ Sci & Technol HOUARI BOUMEDIENE, Dept Math, Algiers 16111, AlgeriaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China