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Abstract
The group of characters of an elementary Abelian group has been used to define duality between its subgroups, which in turn is extended to duality between group codes. The transform domain description of the dual codes of cyclic group codes of length over has been developed in this paper. Several example codes and their duals have been presented also.
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References
- BLAHUT, R.E. 1997. Theory and Practice of Error Control Codes, Addison-Wesely.
- DELSARTE, P. 1972. Bounds for unrestricted codes by linear programming. Philips Research Dev. J., 27: 272-289.
- DEY, B.K. Rajan B. S. 2003. DFT Domain Characterization of Quasi-Cyclic Codes", Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag, 13(1): 453-474.
- HUNGERFORD, T.W. 1989. Algebra, Springer-Verlag,.
- ZAIN, A.A. and RAJAN, B.S. 1997. M-PSK BCM Using Cyclic Codes over Elementary Abelian Groups. Proceedings of ISIT, Ulm, Germany, June 29-July 4 1997, p.410.
- ZAIN, A.A. and RAJAN, B.S. 1995. Reed-Solomon Group Codes. Proceedings of ISIT, British Columbia, Canada, 17-22 September 1995, p.495.
- ZAIN, A.A. and RAJAN, B.S. 1997, Dual Codes of Systematic Group Codes over Abelian Groups. Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag, 8(1): 71-83.
References
BLAHUT, R.E. 1997. Theory and Practice of Error Control Codes, Addison-Wesely.
DELSARTE, P. 1972. Bounds for unrestricted codes by linear programming. Philips Research Dev. J., 27: 272-289.
DEY, B.K. Rajan B. S. 2003. DFT Domain Characterization of Quasi-Cyclic Codes", Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag, 13(1): 453-474.
HUNGERFORD, T.W. 1989. Algebra, Springer-Verlag,.
ZAIN, A.A. and RAJAN, B.S. 1997. M-PSK BCM Using Cyclic Codes over Elementary Abelian Groups. Proceedings of ISIT, Ulm, Germany, June 29-July 4 1997, p.410.
ZAIN, A.A. and RAJAN, B.S. 1995. Reed-Solomon Group Codes. Proceedings of ISIT, British Columbia, Canada, 17-22 September 1995, p.495.
ZAIN, A.A. and RAJAN, B.S. 1997, Dual Codes of Systematic Group Codes over Abelian Groups. Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag, 8(1): 71-83.