19 citations · 35 across the 4 of their papers we have counts for
4 papers
Algebraic constructions of LDPC codes with no short cycles
Ted Hurley, Paul McEvoy, Jakub Wenus
An algebraic group ring method for constructing codes with no short cycles in the check matrix is derived. It is shown that the matrix of a group ring element has no short cycles i…
Self-dual, dual-containing and related quantum codes from group rings
Ted Hurley
Classes of self-dual codes and dual-containing codes are constructed. The codes are obtained within group rings and, using an isomorphism between group rings and matrices, equivale…
Convolutional codes from units in matrix and group rings
Ted Hurley
A general method for constructing convolutional codes from units in Laurent series over matrix rings is presented. Using group ring as matrix rings, this forms a basis for in-depth…
Codes from Zero-divisors and Units in Group Rings
Paul Hurley, Ted Hurley
We describe and present a new construction method for codes using encodings from group rings. They consist primarily of two types: zero-divisor and unit-derived codes. Previous cod…