A note about multidesigns and extended designs

J. Borges; J. Rifá

doi:10.1016/0012-365X(93)90141-F

A note about multidesigns and extended designs

Research output: Contribution to journal › Article › Research › peer-review

Abstract

In the theory of communication, both coding and cryptology play an important role. They are algebraic theories closely related to combinatorics. t-designs are very important combinatorial structures which have well-known relationships with error-detecting and correcting codes. We will introduce the inclusion matrix of a combinatorial structure in order to emphasize the differences between multidesigns and extended designs. We prove that a full combinatorial multidesign exists and, moreover, we compute its parameters. © 1993.

Original language	English
Pages (from-to)	65-69
Journal	Discrete Mathematics
Volume	111
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(93)90141-F
Publication status	Published - 22 Feb 1993

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abstract = "In the theory of communication, both coding and cryptology play an important role. They are algebraic theories closely related to combinatorics. t-designs are very important combinatorial structures which have well-known relationships with error-detecting and correcting codes. We will introduce the inclusion matrix of a combinatorial structure in order to emphasize the differences between multidesigns and extended designs. We prove that a full combinatorial multidesign exists and, moreover, we compute its parameters. {\textcopyright} 1993.",

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AU - Rifá, J.

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AB - In the theory of communication, both coding and cryptology play an important role. They are algebraic theories closely related to combinatorics. t-designs are very important combinatorial structures which have well-known relationships with error-detecting and correcting codes. We will introduce the inclusion matrix of a combinatorial structure in order to emphasize the differences between multidesigns and extended designs. We prove that a full combinatorial multidesign exists and, moreover, we compute its parameters. © 1993.

U2 - 10.1016/0012-365X(93)90141-F

DO - 10.1016/0012-365X(93)90141-F

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JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

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