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• W2950230358 abstract "We propose geometrical methods for constructing square 01-matrices with the same number n of units in every row and column, and such that any two rows of the matrix contain at most one unit in common. These matrices are equivalent to n-regular bipartite graphs without 4-cycles, and therefore can be used for the construction of efficient bipartite-graph codes such that both the classes of its vertices are associated with local constraints. We significantly extend the region of parameters m,n for which there exist an n-regular bipartite graph with 2m vertices and without 4-cycles. In that way we essentially increase the region of lengths and rates of the corresponding bipartite-graph codes. Many new matrices are either circulant or consist of circulant submatrices: this provides code parity-check matrices consisting of circulant submatrices, and hence quasi-cyclic bipartite-graph codes with simple implementation." @default.
• W2950230358 created "2019-06-27" @default.
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• W2950230358 date "2009-09-30" @default.
• W2950230358 modified "2023-09-27" @default.
• W2950230358 title "Some combinatorial aspects of constructing bipartite-graph codes" @default.
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• W2950230358 hasPublicationYear "2009" @default.
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