Checkable Codes from Group Rings

J. L. Massey, “Reversible codes,” Inform. and control

1964

Earlier work this paper cites.

S. D. Berman, “On the theory of group codes,” Kibernetika

1967

Earlier work this paper cites.

S. D. Berman, “Semi-simple cyclic and abelian codes,” Kibernetika

1967

Earlier work this paper cites.

F. J. MacWilliams, “Codes and ideals in group algebras,” Combinatorial Mathematics and its Applications

1969

Earlier work this paper cites.

F. J. MacWilliams, “Binary codes which are ideals in the group algebra of an abelian group,” Bell Syst. Tech. J

1970

Earlier work this paper cites.

J. L. Fisher and S. K. Sehgal, “Principal ideal group rings,” Comm. Algebra

1976

Earlier work this paper cites.

D. S. Passman, The Algebraic Structure of Group Rings

1977

Earlier work this paper cites.

P. Hurley, and T. Hurley, “Module codes in group rings,” in Proc. IEEE Int. Symp. Information Theory

1985

Cited alongside, same era.

H. Chabanne, “Permutation decoding of abelian codes,” IEEE Trans. Inform. Theory

1992

Cited alongside, same era.

X. Yang, and J. L. Massey, “The condition for a cyclic code to have a complementary dual,” Discrete Math

1994

Cited alongside, same era.

W. Bosma, J. J. Cannon, and C. Playoust, “The Magma algebra system I: the user language,” J. Symbolic Comput

1997

Cited alongside, same era.

C. Ding, D. R. Kohel, and S. Ling, “Split group codes,” IEEE Trans. Inform. Theory

2000

Cited alongside, same era.

M. Greferath, and S. E. Schmidt, “Finite-ring combinatorics and MacWilliams Equivalence Theorem,” J. Combin. Theory Ser. A

C. P. Milies, and S. K. Sehgal, An Introduction to Group Rings

2002

Later among the works it cites.

D. S. Dummit, and R. M. Foote, Abstract Algebra

2004

Later among the works it cites.

T. Abualrub, A. Ghrayeb, and X. N. Zeng, “Construction of cyclic codes over GF ⁡ ( 4 ) {\rm GF}(4) for DNA computing,” J. Franklin Inst

2006

Later among the works it cites.

T. Hurley, “Group ring and rings of matrices,” Inter. J. Pure and Appl. Math

2006

Later among the works it cites.

I. McLoughlin, and T. Hurley, “A group ring construction of the extended binary Golay code,” IEEE Trans. Inform. Theory

2008

Later among the works it cites.

P. Hurley, and T. Hurley, “Codes from zero-divisors and units in group rings,” Int. J. Information and Coding Theory