CARMA COMBINATORICS SEMINAR Speaker: Dr Paul Leopardi, Australian National University Title: Twin bent functions and Clifford algebras Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle Time and Date: 3:00 pm, Thu, 25th Sep 2014 Abstract: It is known that the function s defined on an ordering of the 4^m monomial basis matrices of the real representation of the Clifford algebra Cl(m, m), where s(A) = 0 if A is symmetric, s(A) = 1 if A is skew, is a bent function. It is perhaps less well known that the function t, where t(A) = 0 if A is diagonal or skew, t(A) = 1 otherwise, is also a bent function, with the same parameters as s. The talk will describe these functions and their relation to Hadamard difference sets and strongly regular graphs. The talk was originally presented at ADTHM 2014 in Lethbridge this year. [Permanent link]