Some new Kirkman signal sets
Document Type
Article
Publication Date
12-1-2017
Department
Department of Mathematical Sciences
Abstract
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
Recommended Citation
Hodaj, J.,
Keranen, M. S.,
Kreher, D. L.,
&
Tollefson, L. C.
(2017).
Some new Kirkman signal sets.
Designs, Codes, and Cryptography,
86(10), 2183-2195.
http://doi.org/10.1007/s10623-017-0445-2
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4882
