A family of group character codes

Authors:
San Ling
Affiliations:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore
Venue:
European Journal of Combinatorics - Special issue on arithmétique et combinatoire
Year:
2004

Citing 3
Cited 0

Secret-sharing with a class of ternary codes

Theoretical Computer Science
The Weight Distribution of C_5(1, n)

Designs, Codes and Cryptography
Elementary 2-group character codes

IEEE Transactions on Information Theory

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Abstract

In IEEE Trans. Inform. Theory 46 (2000), 280, using characters of an elementary Abelian 2-group, a class of q-ary codes, where q is an odd prime power, is constructed. These codes share several features in common with binary Reed-Muller codes. This construction is generalized in this paper to yield codes with features that resemble those of generalized Reed-Muller codes.