Patrick Solé

Cyclic Codes over a Commutative Non-Unital Ring

This paper investigates cyclic codes over the commutative non-unital ring I=⟨a,b∣2a=2b=0,a2=b,ab=0⟩, a ring of order four and characteristic two. We develop a structural description of linear and cyclic codes over I, analyze their residue and torsion codes, and characterize self-...

Kissing Number of Codes: A Survey

The kissing number of a code is the average number of pairs of codewords at minimum distance from each other. It has fundamental applications in determining code performance. Besides, a recent interest has arisen from the field of side-channel analysis of algorithms handling sens...