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

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

scholarly journals Primitive Idempotents of Irreducible Cyclic Codes of Length n

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Yuqian Lin ◽  
Qin Yue ◽  
Yansheng Wu
Keyword(s):  
Positive Integer ◽  
Finite Field ◽  
Matrix Method ◽  
Cyclic Codes ◽  
Prime Divisors ◽  
Primitive Idempotents ◽  
Irreducible Cyclic Codes

Let Fq be a finite field with q elements and n a positive integer. In this paper, we use matrix method to give all primitive idempotents of irreducible cyclic codes of length n, whose prime divisors divide q-1.

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

Two-Weight Codes Punctured from Irreducible Cyclic Codes

2008 ◽  
Author(s):  
Cunsheng Ding ◽  
Jinquan Luo ◽  
Harald Niederreiter
Keyword(s):  
Cyclic Codes ◽  
Irreducible Cyclic Codes

The weight distribution of some irreducible cyclic codes

2011 ◽  
Vol 41 (10) ◽  
pp. 877-884
Author(s):  
LiWei ZENG ◽  
Yang LIU ◽  
ChangLi MA
Keyword(s):  
Weight Distribution ◽  
Cyclic Codes ◽  
Irreducible Cyclic Codes

scholarly journals The weight distribution of irreducible cyclic codes with block lengths n1((q1−1)N)

1977 ◽  
Vol 18 (2) ◽  
pp. 179-211 ◽  
Author(s):  
Tor Helleseth ◽  
Torleiv KlØve ◽  
Johannes Mykkeltveit
Keyword(s):  
Weight Distribution ◽  
Cyclic Codes ◽  
Irreducible Cyclic Codes
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