6 citations · 22 across the 15 of their papers we have counts for
16 papers
On p-ary Bent Functions and Strongly Regular Graphs
Caroline Grant Melles, David Joyner
Our main result is a generalized Dillon-type theorem, giving graph-theoretic conditions which guarantee that a -ary function in an even number of variables is bent, for a pr…
Self-inversive polynomials, curves, and codes
David Joyner, Tony Shaska
We study connections between self-inversive and self-reciprocal polynomials, reduction theory of binary forms, minimal models of curves, and formally self-dual codes. We prove that…
Automorphism Groups on Tropical Curves: Some Cohomology Calculations
David Joyner, Amy Ksir, Caroline Grant Melles
Let be an abstract tropical curve and let be a finite subgroup of the automorphism group of . Let be a divisor on whose equivalence class is -invariant. We ad…
Automorphism groups of generalized Reed-Solomon codes
David Joyner, Amy Ksir, Will Traves
We look at AG codes associated to the projective line, re-examining the problem of determining their automorphism groups (originally investigated by Duer in 1987 using combinatoria…
A primer on computational group homology and cohomology
David Joyner
These are expanded lecture notes of a series of expository talks surveying basic aspects of group cohomology and homology. They were written for someone who has had a first course…
Group representations on Riemann-Roch spaces of some Hurwitz curves
David Joyner, Amy Ksir, Roger Vogeler
Let q>1 denote an integer relatively prime to 2,3,7 and for which G=PSL(2,q) is a Hurwitz group for a smooth projective curve X defined over C. We compute the G-module structure of…