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• W2035404732 abstract "Let A <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>q</sub> (n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at least d. And let A(n, d, w) that of a binary code of constant weight w. Building on results from algebraic graph theory and Erdos-ko-Rado like theorems in extremal combinatorics, we show how several known bounds on Aq(n,d) and A(n,d, w) can be easily obtained in a single framework. For instance, both the Hamming and Singleton bounds can derived as an application of a property relating the clique number and the independence number of vertex transitive graphs. Using the same techniques, we also derive some new bounds and present some additional applications." @default.
• W2035404732 created "2016-06-24" @default.
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• W2035404732 date "2007-06-01" @default.
• W2035404732 modified "2023-09-26" @default.
• W2035404732 title "Bounds on Codes Based on Graph Theory" @default.
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• W2035404732 doi "https://doi.org/10.1109/isit.2007.4557151" @default.
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