  In 1999 Bernasconi and Codenotti noted that the Cayley graph of a bent
function is strongly regular. This paper describes the concept of extended
Cayley equivalence of bent functions, discusses some connections between bent
functions, designs, and codes, and explores the relationship between extended
Cayley equivalence and extended affine equivalence. SageMath scripts and CoCalc
worksheets are used to compute and display some of these relationships, for
bent functions up to dimension 8.
