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- W2951330861 abstract "Let $A(n,d)$ (respectively $A(n,d,w)$) be the maximum possible number of codewords in a binary code (respectively binary constant-weight $w$ code) of length $n$ and minimum Hamming distance at least $d$. By adding new linear constraints to Schrijver's semidefinite programming bound, which is obtained from block-diagonalising the Terwilliger algebra of the Hamming cube, we obtain two new upper bounds on $A(n,d)$, namely $A(18,8) leq 71$ and $A(19,8) leq 131$. Twenty three new upper bounds on $A(n,d,w)$ for $n leq 28$ are also obtained by a similar way." @default.
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- W2951330861 date "2012-12-14" @default.
- W2951330861 modified "2023-09-27" @default.
- W2951330861 title "Improved Semidefinite Programming Bound on Sizes of Codes" @default.
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