New optimal frequency hopping sequence sets from balanced nested difference packings of partition-type. (English) Zbl 1347.94015
Summary: In this paper, we construct a new kind of balanced nested difference packings of partition-type based on generalized cyclotomy with respect to \(\mathbb Z_{p^m}\). As an application, we propose a construction of frequency hopping sequence sets. The frequency hopping sequence sets obtained in this paper are optimal with respect to the Peng-Fan bound.
MSC:
| 94A55 | Shift register sequences and sequences over finite alphabets in information and communication theory |
| 11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |
Keywords:
generalized cyclotomy; frequency hopping sequence; partition-type difference packing; balanced nested difference packing of partition-type; Peng-Fan boundReferences:
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