Problems of Information Transmission

, Volume 53, Issue 1, pp 51–54 | Cite as

Remark on balanced incomplete block designs, near-resolvable block designs, and q-ary constant-weight codes

Coding Theory
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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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Copyright information

© Pleiades Publishing, Inc. 2017

Authors and Affiliations

  1. 1.Kharkevich Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

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