Supplementary difference sets related to a certain class of complex spherical 2-codes

TL;DR

This paper classifies skew-symmetric supplementary difference sets linked to complex spherical 2-codes for sizes up to 51, advancing understanding of their structure and classification.

Contribution

It provides a complete classification of certain supplementary difference sets for v ≤ 51, enriching the theory of complex spherical 2-codes.

Findings

Complete classification for v ≤ 51

Identification of new supplementary difference sets

Enhanced understanding of complex spherical 2-codes

Abstract

In this paper, we study skew-symmetric $2$-$\{v;r,k;\lambda\}$ supplementary difference sets related to a certain class of complex spherical 2-codes. A classification of such supplementary difference sets is complete for $v \le 51$.