10 citations · 23 across the 19 of their papers we have counts for
7 papers · 1 filter
On additive MDS codes with linear projections
Sam Adriaensen, Simeon Ball
We support some evidence that a long additive MDS code over a finite field must be equivalent to a linear code. More precisely, let be an -linear $(n,q^{hk},n-k+1)…
The Grassl-Rötteler cyclic and consta-cyclic MDS codes are generalised Reed-Solomon codes
Simeon Ball
We prove that the cyclic and constacyclic codes constructed by Grassl and Rötteler in arXiv:1502.05267 are generalised Reed-Solomon codes. This note can be considered as an addendu…
The geometry of Hermitian self-orthogonal codes
Simeon Ball, Ricard Vilar
We prove that if then a -dimensional linear code of length over has a truncation which is linearly equivalent to a Hermitian self-orthogonal lin…
The geometry of non-additive stabiliser codes
Simeon Ball, Pablo Puig
We present a geometric framework for constructing additive and non-additive stabiliser codes which encompasses stabiliser codes and graphical non-additive stabiliser codes.
The equivalence of linear codes implies semi-linear equivalence
Simeon Ball, James Dixon
We prove that if two linear codes are equivalent then they are semi-linearly equivalent. We also prove that if two additive MDS codes over a field are equivalent then they are addi…
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 -dimensional truncated generalised Reed-Solomon code of length over if and only if there…