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05/24/2023
Quantum cyclic redundancy check codes
We extend the idea of classical cyclic redundancy check codes to quantum...
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09/20/2022
On additive MDS codes with linear projections
We support some evidence that a long additive MDS code over a finite fie...
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12/22/2021
The Grassl-Rötteler cyclic and consta-cyclic MDS codes are generalised Reed-Solomon codes
We prove that the cyclic and constacyclic codes constructed by Grassl an...
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08/18/2021
The geometry of Hermitian self-orthogonal codes
We prove that if n >k^2 then a k-dimensional linear code of length n ove...
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07/23/2021
The geometry of non-additive stabiliser codes
We present a geometric framework for constructing additive and non-addit...
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07/16/2021
The equivalence of linear codes implies semi-linear equivalence
We prove that if two linear codes are equivalent then they are semi-line...
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06/18/2021
Determining when a truncated generalised Reed-Solomon code is Hermitian self-orthogonal
We prove that there is a Hermitian self-orthogonal k-dimensional truncat...
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12/11/2020