Some new Kirkman signal sets
© 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).
Designs, Codes, and Cryptography
Some new Kirkman signal sets.
Designs, Codes, and Cryptography,
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