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Group Codes Defined Using Extra-Special p-Group of Order p^3

How, Guan Aun, and Wong, Denis, Denis Chee Keong (2004) Group Codes Defined Using Extra-Special p-Group of Order p^3. Bulletin of the Malaysian Mathematical Sciences Society, 27 (2). pp. 185-205. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v27n2/v27n2p9.pdf

Affiliations

Universiti Sains Malaysia, School of Mathematical Sciences

Abstract

The study of group code as an ideal in a group algebra has been developed long time ago. If char $(F) \nshortmid |G|$ then $FG$ is semisimple, and therefore, decomposes into a direct sum $FG = \oplus_i FG_{e_i}$ where $FG_{e_i}$ are minimal ideals generated by the idempotent $e_i$. The idempotent $e_i$ provides useful information about the minimum distance of group codes. In this paper, we consider group code generated by extra-special $ p $-group of order $p^3$. and construct two families of group codes, one defined using linear idempotents, and the other defined using nonlinear idempotents. Our primary task is to determine the parameters of these two families of group codes.

Item Type:Journal
Subjects:Q Science, Computer Science
ID Code:1307

1. D.S. Passman, The Algebraic Structure of Group Rings, New York: Wiley, 1977.

2. I.M, Isaacs, Algebra, A Graduate Course, Brooks/Cole Publishing. Pacific Grove, California, 1992.

3. I.M. lsaacs, Character Theory of Finite Groups, Academic Press, 1976.

4. J.H. Van Lint and R.M. Wilson, On the minimum distance of Cyclic code, IEEE Trans. Inform. Theory 32 (1986), 23—40.

5. L. DornHoff, Group Representation Theory, Part A. Marcel Dekker, inc., New York, 1971.

6. N.J.A. Sloane and F.J. Macwilliam, The Theory of Error Correcting Codes, Amsterdam, The Netherlands: North-Holland, 1978.

7. S.D. Berman, Parameter of Abelian codes in the Group Algebra KG of G = (a) x (b), a^p = b^p = 1, p is prime, over a finite field K with a primitive p^th root of unity and related MDS-codes, Contempary Math. 93(1989).

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