Hypergraphical Codes Arising from Binary Trades |
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| Authors: | G B Khosrovshahi Reza Naserasr |
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| Institution: | (1) 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;(2) Institute for Studies in Theoretical Physics and Mathematics (IPM), Tehran, Iran |
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| Abstract: | By considering the null space of incidence matrices of trivial designs over GF(2) (the space of 1- (v,k) trades overGF(2)) we obtain families of codes which are optimal for some v and k. Moreover, by generalizing the concept of bond space, the weight enumerator polynomials for these codes are obtained. |
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| Keywords: | Hypergraphical code binary trades |
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