Some new families of partial difference sets in finite fields. (English) Zbl 1355.05063
Summary: In this paper we present some new cyclotomic families of partial difference sets. The argument rests on a general procedure for constructing cyclotomic difference sets or partial difference sets in Galois domains due to U. Ott [Des. Codes Cryptography 80, No. 2, 241–281 (2016; Zbl 1344.05153)]. Definitions and various properties of partial difference sets can be found for instance in S. L. Ma [Des. Codes Cryptography 4, No. 3, 221–261 (1994; Zbl 0798.05008)].
MSC:
| 05B10 | Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) |
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