10 citations · 23 across the 19 of their papers we have counts for
26 papers
Sets of subspaces with restricted hyperplane intersection numbers
Tim Alderson, Simeon Ball
Let be a set of -dimensional subspaces of with the property that every hyperplane contains at most elements of . We prov…
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…
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…
A polynomial time reduction from the multi-graph isomorphism problem to additive code equivalence
Simeon Ball, James Dixon
We present a polynomial time reduction from the multi-graph isomorphism problem to the problem of code equivalence of additive codes over finite extensions of .
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…