13 citations · 29 across the 14 of their papers we have counts for
15 papers
Segre's theorem on ovals in Desarguesian projective planes
Patrick J. Browne, Steven T. Dougherty, Padraig Ó Catháin
Segre's theorem on ovals in projective spaces is an ingenious result from the mid-twentieth century which requires surprisingly little background to prove. This note, suitable for…
Group LCD and Group Reversible LCD Codes
Steven T. Dougherty, Joe Gildea, Adrian Korban +1
In this paper, we give a new method for constructing LCD codes. We employ group rings and a well known map that sends group ring elements to a subring of the matrices…
Group Matrix Ring Codes and Constructions of Self-Dual Codes
Steven Dougherty, Adrian Korban, Serap Sahinkaya +1
In this work, we study codes generated by elements that come from group matrix rings. We present a matrix construction which we use to generate codes in two different ambient space…
Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes
Steven T. Dougherty, Joe Gildea, Adrian Korban +1
In this work, we define composite matrices which are derived from group rings. We extend the idea of G-codes to composite G-codes. We show that these codes are ideals in a group ri…
Rank and Kernel of -Additive Generalised Hadamard Codes
Steven T. Dougherty, Josep Rifà, Mercè Villanueva
A subset of a vector space is -additive if it is a linear space over the subfield . Let , prime, and . Bounds on the ra…
On Z2Z4-additive complementary dual codes and related LCD codes
Nasreddine Benbelkacem, Joaquim Borges, Steven T. Dougherty +1
Linear complementary dual codes were defined by Massey in 1992, and were used to give an optimum linear coding solution for the two user binary adder channel. In this paper, we def…