Algebraic Decoding of (103, 52, 19) and (113, 57, 15) Quadratic Residue Codes

2005 ◽  
Vol 53 (5) ◽  
pp. 749-754 ◽  
Author(s):  
T.-K. Truong ◽  
Y. Chang ◽  
Y.-H. Chen ◽  
C.D. Lee
Keyword(s):  
Quadratic Residue ◽  
Quadratic Residue Codes ◽  
Algebraic Decoding

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

scholarly journals Decoding the Ternary (23, 11, 9) Quadratic Residue Code

2009 ◽  
Vol 2009 ◽  
pp. 1-3 ◽  
Author(s):  
J. Carmelo Interlando
Keyword(s):  
Quadratic Residue ◽  
Quadratic Residue Codes ◽  
Residue Code ◽  
Algebraic Decoding ◽  
Quadratic Residue Code

The algebraic decoding of binary quadratic residue codes can be performed using the Peterson or the Berlekamp-Massey algorithm once certain unknown syndromes are determined or eliminated. The technique of determining unknown syndromes is applied to the nonbinary case to decode the expurgated ternary quadratic residue code of length 23.

Algebraic Decoding of Some Quadratic Residue Codes With Weak Locators

2015 ◽  
Vol 61 (3) ◽  
pp. 1179-1187 ◽  
Author(s):  
Chong-Dao Lee ◽  
Yan-Haw Chen ◽  
Trieu-Kien Truong ◽  
Yaotsu Chang
Keyword(s):  
Quadratic Residue ◽  
Quadratic Residue Codes ◽  
Algebraic Decoding

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
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