Buscar
Mostrando ítems 1-10 de 7600
Constructions of new families of nonbinary CSS codes
(Elsevier Science BvAmsterdamHolanda, 2010)
Encoding through generalized polynomial codes
(2011-08-31)
This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This ...
Encoding through generalized polynomial codes
(2011-08-31)
This paper introduces novel constructions of cyclic codes using semigroup rings instead of polynomial rings. These constructions are applied to define and investigate the BCH, alternant, Goppa, and Srivastava codes. This ...
Uniformity Properties Of Construction C
(IEEENew York, 2016)
CYCLIC CODES THROUGH B[X], B[X; 1/kp Z(0)] and B[X; 1/p(k) Z(0)]: A COMPARISON
(World Scientific Publ Co Pte Ltd, 2012-08-01)
It is very well known that algebraic structures have valuable applications in the theory of error-correcting codes. Blake [Codes over certain rings, Inform. and Control 20 (1972) 396-404] has constructed cyclic codes over ...
CYCLIC CODES THROUGH B[X], B[X; 1/kp Z(0)] and B[X; 1/p(k) Z(0)]: A COMPARISON
(World Scientific Publ Co Pte Ltd, 2012-08-01)
It is very well known that algebraic structures have valuable applications in the theory of error-correcting codes. Blake [Codes over certain rings, Inform. and Control 20 (1972) 396-404] has constructed cyclic codes over ...
A Note on Linear Codes over Semigroup Rings
(2011)
In this paper, we introduced new construction techniques of BCH, alternant, Goppa, Srivastava codes through the semigroup ring B[X; 1 3Z0] instead of the polynomial ring B[X; Z0], where B is a finite commutative ring with ...
Quantum Error-correcting Codes From Algebraic Geometry Codes Of Castle Type
(SpringerNew York, 2016)
Constructions of codes through the semigroup ring B[X; 1/2(2)Z(0)] and encoding
(Pergamon-Elsevier B.V. Ltd, 2011-08-01)
For any finite commutative ring B with an identity there is a strict inclusion B[X; Z(0)] subset of B[X; Z(0)] subset of B[X; 1/2(2)Z(0)] of commutative semigroup rings. This work is a continuation of Shah et al. (2011) ...