Some new Kirkman signal sets

Authors

Jezerca Hodaj, University College “Pavarësia Vlorë”
Melissa S. Keranen, Michigan Technological UniversityFollow
Donald L. Kreher, Michigan Technological UniversityFollow
Leah C. Tollefson, Michigan Technological UniversityFollow

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