scholarly journals New extremal binary self-dual codes of length 68 from quadratic residue codes overF2+uF2+u2F2

2014 ◽  
Vol 29 ◽  
pp. 160-177 ◽  
Author(s):  
Abidin Kaya ◽  
Bahattin Yildiz ◽  
Irfan Siap
Keyword(s):  
Quadratic Residue ◽  
Dual Codes ◽  
Quadratic Residue Codes

Two self-dual codes with larger lengths over ℤ9

2015 ◽  
Vol 07 (03) ◽  
pp. 1550029
Author(s):  
Jian Gao ◽  
Xianfang Wang ◽  
Fang-Wei Fu
Keyword(s):  
Structural Properties ◽  
Linear Codes ◽  
Quadratic Residue ◽  
Gray Map ◽  
Dual Codes ◽  
Quadratic Residue Codes

In this paper, we introduce new definitions of the Gray weight and the Gray map for linear codes over ℤ9 + uℤ9 with u2 = u. Some results on self-dual codes over this ring are investigated. Further, the structural properties of quadratic residue codes are also considered. Two self-dual codes with new parameters [22, 11, 5] and [24, 12, 9] over ℤ9 are obtained.

New Efficient and Fast Method to Compute the Weights Enumerators of Some Large Doubly Even Self Dual Quadratic Residue Codes

2018 ◽  
Vol 11 (6) ◽  
pp. 220-233
Author(s):  
Saïd Nouh ◽  
◽  
Moulay Alaoui ◽  
Mostafa Belkasmi ◽  
Abdelaziz Marzak ◽  
...  
Keyword(s):  
Quadratic Residue ◽  
Fast Method ◽  
Quadratic Residue Codes

Algebraic decoding of [71, 36, 11], [79, 40, 15], and [97, 49, 15] quadratic residue codes

2003 ◽  
Vol 51 (9) ◽  
pp. 1463-1473 ◽  
Author(s):  
Yaotsu Chang ◽  
Trieu-Kien Truong ◽  
I.S. Reed ◽  
H.Y. Cheng ◽  
C.D. Lee
Keyword(s):  
Quadratic Residue ◽  
Quadratic Residue Codes ◽  
Algebraic Decoding
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