19 citations · 35 across the 4 of their papers we have counts for
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cs.IT2007★ 12 cited
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…
cs.IT2007★ 19 cited
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…
cs.IT2007★ 4 cited
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…