scholarly journals Affine Invariant Extended Cyclic Codes Over Galois Rings

2004 ◽  
Vol 50 (4) ◽  
pp. 691-698 ◽  
Author(s):  
B.K. Dey ◽  
B.S. Rajan
Keyword(s):  
Cyclic Codes ◽  
Galois Rings ◽  
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.

scholarly journals Enumeration and construction of additive cyclic codes over Galois rings

2015 ◽  
Vol 338 (6) ◽  
pp. 922-937 ◽  
Author(s):  
Yonglin Cao ◽  
Jian Gao ◽  
Fang-Wei Fu ◽  
Yuan Cao
Keyword(s):  
Cyclic Codes ◽  
Galois Rings

Skew quasi-cyclic codes over Galois rings

2011 ◽  
Vol 62 (1) ◽  
pp. 85-101 ◽  
Author(s):  
Maheshanand Bhaintwal
Keyword(s):  
Cyclic Codes ◽  
Galois Rings ◽  
Quasi Cyclic Codes

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

On cyclic codes over Galois rings

2020 ◽  
Vol 280 ◽  
pp. 156-161 ◽  
Author(s):  
Jasbir Kaur ◽  
Sucheta Dutt ◽  
Ranjeet Sehmi
Keyword(s):  
Cyclic Codes ◽  
Galois Rings
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