Remark on balanced incomplete block designs,near-resolvable block designs,and <Emphasis Type="Italic">q</Emphasis>-ary constant-weight codes |
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| Authors: | L A Bassalygo V A Zinoviev |
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| Affiliation: | 1.Kharkevich Institute for Information Transmission Problems,Russian Academy of Sciences,Moscow,Russia |
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| Abstract: | We prove that any balanced incomplete block design B(v, k, 1) generates a nearresolvable balanced incomplete block design NRB(v, k ? 1, k ? 2). We establish a one-to-one correspondence between near-resolvable block designs NRB(v, k ?1, k ?2) and the subclass of nonbinary (optimal, equidistant) constant-weight codes meeting the generalized Johnson bound. |
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