A note on [D. G. Higman 1988 : Strongly regular designs and coherent configurations of type $[{3\atop {\;}}\;\;{2\atop 3}]$]

TL;DR

This paper revisits Higman's 1988 work on strongly regular designs, providing corrected proofs for the parameter properties and fixing an identified error in the original results.

Contribution

The paper offers rigorous proofs and corrections to Higman's 1988 results on strongly regular designs and their parameter properties.

Findings

Corrected proof of Higman's parameter properties

Identification and correction of an error in the original work

Enhanced understanding of strongly regular designs

Abstract

In 1988, D. G. Higman gave properties of parameters of strongly regular designs without proof. It included an error. We will give proofs and correct the error.