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20072021
most citedConvolutional codes from units in matrix and group rings

19 citations · 61 across the 22 of their papers we have counts for

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14 papers · 1 filter

cs.IT2021★ 2 cited

Linear block and convolutional MDS codes to required rate, distance and type

Ted Hurley

Algebraic methods for the design of series of maximum distance separable (MDS) linear block and convolutional codes to required specifications and types are presented. Algorithms a…

cs.IT2019★ 1 cited

MDS codes over finite fields

Ted Hurley

The mds (maximum distance separable) conjecture claims that a nontrivial linear mds code over the finite field satisfies , except when is even a…

cs.IT2019★ 2 cited

Maximum distance separable codes to order

Ted Hurley, Donny Hurley, Barry Hurley

Maximum distance separable (MDS) are constructed to required specifications. The codes are explicitly given over finite fields with efficient encoding and decoding algorithms. Seri…

cs.IT2019★ 2 cited

Linear complementary dual, maximum distance separable codes

Ted Hurley

Linear complementary dual (LCD) maximum distance separable (MDS) codes are constructed to given specifications. For given and , with or (or both) odd, MDS LCD $(n,…

cs.IT2018★ 5 cited

Entanglement-assisted quantum error-correcting codes from units

Ted Hurley, Donny Hurley, Barry Hurley

Entanglement-assisted quantum error-correcting codes (EAQECCs) to desired rate, error-correcting capability and maximum shared entanglement are constructed. Thus for a required rat…

cs.IT2018★ 2 cited

Quantum error-correcting codes: the unit-derived strategy

Ted Hurley, Donny Hurley, Barry Hurley

Series of maximum distance quantum error-correcting codes are developed and analysed. For a given rate and given error-correction capability, quantum error-correcting codes with th…