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Weakly Resolvable Block Designs and Nonbinary Codes Meeting the Johnson Bound

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We present two new families of resolvable block designs. We introduce the notion of a weakly resolvable block design and prove the equivalence of such designs and nonbinary codes meeting… Click to show full abstract

We present two new families of resolvable block designs. We introduce the notion of a weakly resolvable block design and prove the equivalence of such designs and nonbinary codes meeting the Johnson bound. We construct a new family of such codes.

Keywords: block designs; resolvable block; block; designs nonbinary; weakly resolvable; nonbinary codes

Journal Title: Problems of Information Transmission
Year Published: 2022

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