4 papers · 1 filter
Ovoids in the cyclic presentation of PG(3,q)
Kanat Abdukhalikov, Simeon Ball, Duy Ho +1
We consider the cyclic presentation of whose points are in the finite field and describe the known ovoids therein. We revisit the set , co…
Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
Simeon Ball, Michel Lavrauw, Tabriz Popatia
In this article we prove Griesmer type bounds for additive codes over finite fields. These new bounds give upper bounds on the length of maximum distance separable (MDS) codes, cod…
Practical implementation of geometric quasi-cyclic LDPC codes
Simeon Ball, Tomàs Ortega
We detail for the first time a complete explicit description of the quasi-cyclic structure of all classical finite generalized quadrangles. Using these descriptions we construct fa…
Stabiliser codes over fields of even order
Simeon Ball, Edgar Moreno, Robin Simoens
We prove that the natural isomorphism between GF(2^h) and GF(2)^h induces a bijection between stabiliser codes on n quqits with local dimension q=2^h and binary stabiliser codes on…