English

Strong difference families of special types

Combinatorics 2019-08-27 v2

Abstract

Strong difference families of special types are introduced to produce new relative difference families from the point of view of both asymptotic existences and concrete examples. As applications, group divisible designs of type 30u30^u with block size 66 are discussed, rr-rotational balanced incomplete block designs with block size 66 are derived for r{6,10}r\in\{6,10\}, and several classes of optimal optical orthogonal codes with weight 55, 66, 77, or 88 are obtained.

Keywords

Cite

@article{arxiv.1901.06837,
  title  = {Strong difference families of special types},
  author = {Yanxun Chang and Simone Costa and Tao Feng and Xiaomiao Wang},
  journal= {arXiv preprint arXiv:1901.06837},
  year   = {2019}
}