Ricard Vilar

collaborators

3 papers

quant-ph2023

Classical and quantum cyclic redundancy check codes

Simeon Ball, Ricard Vilar

We prove that certain classical cyclic redundancy check codes can be used for classical error correction and not just classical error detection. We extend the idea of classical cyc…

cs.IT2021

The geometry of Hermitian self-orthogonal codes

Simeon Ball, Ricard Vilar

We prove that if $n > k^{2}$ then a $k$ -dimensional linear code of length $n$ over $F_{q^{2}}$ has a truncation which is linearly equivalent to a Hermitian self-orthogonal lin…

cs.IT2021

Determining when a truncated generalised Reed-Solomon code is Hermitian self-orthogonal

Simeon Ball, Ricard Vilar

We prove that there is a Hermitian self-orthogonal $k$ -dimensional truncated generalised Reed-Solomon code of length $n ⩽ q^{2}$ over $F_{q^{2}}$ if and only if there…