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- W2273669360 abstract "In this paper infinite families of linear binary nested completelyregular codes are constructed. They have covering radius $rho$equal to $3$ or $4,$ and are $1/2^i$th parts, for$iin{1,ldots,u}$ of binary (respectively, extended binary)Hamming codes of length $n=2^m-1$ (respectively, $2^m$), where$m=2u$. In the usual way, i.e., as coset graphs, infinite familiesof embedded distance-regular coset graphs of diameter $D$ equalto $3$ or $4$ are constructed. This gives antipodal covers of somedistance-regular and distance-transitive graphs. In some cases, the constructed codes arealso completely transitive and the corresponding cosetgraphs are distance-transitive." @default.
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- W2273669360 date "2015-01-01" @default.
- W2273669360 modified "2023-09-28" @default.
- W2273669360 title "Families of nested completely regular codes and distance-regular graphs" @default.
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- W2273669360 doi "https://doi.org/10.3934/amc.2015.9.233" @default.
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