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Some constructions for block sequences of Steiner quadruple systems with error correcting consecutive unions
Author(s) -
Momihara Koji,
Jimbo Masakazu
Publication year - 2008
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.20162
Subject(s) - mathematics , sequence (biology) , combinatorics , block (permutation group theory) , code (set theory) , discrete mathematics , arithmetic , computer science , genetics , set (abstract data type) , biology , programming language
In this article, we investigate a block sequence of a Steiner quadruple system which contains the blocks exactly once such that the collection of all blocks together with all unions of two consecutive blocks of the sequence forms an error correcting code with minimum distance four. In particular, we give two recursive constructions and obtain infinitely many such sequences by utilizing individual sequences as starters of the recursions. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 152–163, 2008