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- W3039908263 abstract "We consider the algebraic combinatorics of the set of injections from a $k$ -element set to an $n$ -element set. In particular, we give a new combinatorial formula for the spherical functions of the Gelfand pair $(S_{k} times S_{n}, diag(S_{k}) times S_{n-k})$ . We use this combinatorial formula to give new Delsarte linear programming bounds on the size of codes over injections." @default.
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- W3039908263 date "2020-11-01" @default.
- W3039908263 modified "2023-09-23" @default.
- W3039908263 title "On the Algebraic Combinatorics of Injections and its Applications to Injection Codes" @default.
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- W3039908263 doi "https://doi.org/10.1109/tit.2020.3005544" @default.
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