7 citations · 13 across the 5 of their papers we have counts for
5 papers
A Few More Quadratic APN Functions
Carl Bracken, Eimear Byrne, Nadya Markin +1
We present two infinite families of APN functions where the degree of the field is divisible by 3 but not 9. Our families contain two already known families as special cases. We al…
Counting the Number of Site Swap Juggling Patterns with Respect to Particular Ceilings
Carl Bracken
Site swap is a mathematical notation used by jugglers to communicate, create and study complex juggling patterns. Determining the number of possible site swap juggling patterns wit…
Pseudo Quasi-3 Designs and their Applications to Coding Theory
Carl Bracken
We define a pseudo quasi-3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi-symmetric. Quasi-symmet…
An Infinite Family of Quadratic Quadrinomial APN Functions
Carl Bracken, Eimear Byrne, Nadya Markin +1
We present an infinite family of quadratic APN functions on a finite field of dimension over GF(2) divisible by 3.
Characterization of SDP Designs That Yield Certain Spin Models
Carl Bracken, Gary McGuire
We characterize the SDP designs that give rise to four-weight spin models with two values. We prove that the only such designs are the symplectic SDP designs. The proof involves an…