New Way to Enumerate Large Quadratic Residue Codes Based on Hash and Automorphism Group

2022 ◽  
pp. 545-556
Author(s):  
Hamza Faham ◽  
Saïd Nouh ◽  
My Seddiq El Kasmi Alaoui ◽  
Mounir Sadiq ◽  
Mohamed Azzouazi
Keyword(s):  
Automorphism Group ◽  
Quadratic Residue ◽  
Quadratic Residue Codes

scholarly journals Information sets as permutation cycles for quadratic residue codes

1982 ◽  
Vol 5 (2) ◽  
pp. 403-406
Author(s):  
Richard A. Jenson
Keyword(s):  
Automorphism Group ◽  
Quadratic Residue ◽  
Quadratic Residue Codes ◽  
Residue Code ◽  
Information Sets ◽  
Quadratic Residue Code

The two casesp=7andp=23are the only known cases where the automorphism group of the[p+1,   (p+1)/2]extended binary quadratic residue code,O(p), properly containsPSL(2,p). These codes have some of their information sets represented as permutation cycles fromAut(Q(p)). Analysis proves that all information sets ofQ(7)are so represented but those ofQ(23)are not.

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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