Hypergraphical Codes Arising from Binary Trades

Authors:
G. B. Khosrovshahi;Reza Naserasr
Affiliations:
Department of Mathematics, University of Tehran, and Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran Mailing address: IPM, P.O. Box 19395-5746, Tehran, Iran;Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran
Venue:
Designs, Codes and Cryptography
Year:
1999

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Abstract

By considering the null spaceof incidence matrices of trivial designs over GF(2)(the space of 1- (v,k) trades overGF(2)) we obtain families of codes which are optimalfor some v and k. Moreover, by generalizingthe concept of bond space, the weight enumerator polynomialsfor these codes are obtained.