The permutation group of affine-invariant extended cyclic codes

1996 ◽  
Vol 42 (6) ◽  
pp. 2194-2209 ◽  
Author(s):  
T.P. Berger ◽  
P. Charpin
Keyword(s):  
Permutation Group ◽  
Cyclic Codes ◽  
Affine Invariant ◽  
Extended Cyclic Codes

QUANTUM DUADIC AND AFFINE-INVARIANT CODES

2009 ◽  
Vol 07 (01) ◽  
pp. 373-384 ◽  
Author(s):  
KENZA GUENDA
Keyword(s):  
Cyclic Codes ◽  
Quantum Codes ◽  
Quantum Code ◽  
Affine Invariant ◽  
Multiplicative Order ◽  
Extended Cyclic Codes ◽  
Duadic Codes ◽  
Css Construction

We construct new families of duadic codes and derive from them degenerate quantum codes. This provides a solution to a question raised by Aly, Klappenecker and Sarvepalli on the existence of quantum codes from duadic codes when the multiplicative order of q modulo n is even. We also characterize the affine-invariant maximal extended cyclic codes. Then by the CSS construction, we give a family of quantum code.

Self-dual extended cyclic codes

2005 ◽  
Vol 17 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Conchita Martínez-Pérez ◽  
Wolfgang Willems
Keyword(s):  
Cyclic Codes ◽  
Extended Cyclic Codes
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