Optimal p-ary cyclic codes with minimum distance four from monomials

2015 ◽  
Vol 8 (4) ◽  
pp. 541-554 ◽  
Author(s):  
Guangkui Xu ◽  
Xiwang Cao ◽  
Shanding Xu
Keyword(s):  
Minimum Distance ◽  
Cyclic Codes

Use of Grobner bases to decode binary cyclic codes up to the true minimum distance

1994 ◽  
Vol 40 (5) ◽  
pp. 1654-1661 ◽  
Author(s):  
Xuemin Chen ◽  
I.S. Reed ◽  
T. Helleseth ◽  
T.K. Truong
Keyword(s):  
Minimum Distance ◽  
Cyclic Codes ◽  
Gröbner Bases ◽  
Grobner Bases

On some bounds on the minimum distance of cyclic codes over finite fields

2014 ◽  
Vol 76 (2) ◽  
pp. 173-178
Author(s):  
Ferruh Özbudak ◽  
Seher Tutdere ◽  
Oğuz Yayla
Keyword(s):  
Finite Fields ◽  
Minimum Distance ◽  
Cyclic Codes

scholarly journals The minimum distance of the duals of binary irreducible cyclic codes

2002 ◽  
Vol 48 (10) ◽  
pp. 2679-2689 ◽  
Author(s):  
Cunsheng Ding ◽  
T. Helleseth ◽  
H. Niederreiter ◽  
Chaoping Xing
Keyword(s):  
Minimum Distance ◽  
Cyclic Codes ◽  
Irreducible Cyclic Codes

scholarly journals Optimal Quinary Cyclic Codes with Minimum Distance Four

2020 ◽  
Vol 29 (3) ◽  
pp. 515-524
Author(s):  
Jinmei Fan ◽  
Yanhai Zhang
Keyword(s):  
Minimum Distance ◽  
Cyclic Codes

A Minimum Distance Bound for 1-Generator Quasi-Cyclic Codes

2007 ◽  
Author(s):  
Isaac Woungang ◽  
Sudip Misra ◽  
Alireza Sadeghian ◽  
Alexander Ferworn
Keyword(s):  
Minimum Distance ◽  
Cyclic Codes ◽  
Distance Bound ◽  
Minimum Distance Bound ◽  
Quasi Cyclic Codes

Generation of matrices for determining minimum distance and decoding of cyclic codes

1996 ◽  
Vol 42 (2) ◽  
pp. 653-657 ◽  
Author(s):  
K.K. Shen ◽  
C. Wang ◽  
K.K. Tzeng ◽  
B.-Z. Shen
Keyword(s):  
Minimum Distance ◽  
Cyclic Codes
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