# Construction of three classes of Strictly Optimal Frequency-Hopping Sequence Sets

## TL;DR

This paper introduces three new classes of strictly optimal frequency-hopping sequence sets that optimize partial Hamming correlation and family size, using generic and trace map-based constructions.

## Contribution

It presents novel constructions of FHS sets that are strictly optimal, improving design options for frequency-hopping communication systems.

## Key findings

- Three classes of strictly optimal FHS sets are constructed.
- The constructions achieve optimal partial Hamming correlation.
- The methods include a generic approach and trace map-based techniques.

## Abstract

In this paper, we construct three classes of strictly optimal frequency-hopping sequence (FHS) sets with respect to partial Hamming correlation and family size. The first class is based on a generic construction, the second and third classes are based from the trace map.