Title

Some new Kirkman signal sets

Document Type

Article

Publication Date

10-1-2018

Abstract

© 2017, Springer Science+Business Media, LLC, part of Springer Nature. A decomposition of the blocks of an STS(v) into partial parallel classes of size m is equivalent to a Kirkman signal set KSS(v, m). We give decompositions of STS(4 v- 3) into classes of size v- 1 when v≡3(mod6), v≠ 3. We also give decompositions of STS(v) into classes of various sizes when v is a product of two arbitrary integers that are both congruent to 3(mod6). These results produce new families of KSS(v, m).

Publication Title

Designs, Codes, and Cryptography

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