3 papers
math.CO2025
Kneser's theorem for codes and -divisible set families
Chenying Lin, Gilles Zémor
A -wise -divisible set family is a collection of subsets of such that any intersection of sets in has cardinality div…
quant-ph2025
A Variant of the Bravyi-Terhal Bound for Arbitrary Boundary Conditions
François Arnault, Philippe Gaborit, Wouter Rozendaal +2
We present a modified version of the Bravyi-Terhal bound that applies to quantum codes defined by local parity-check constraints on a -dimensional lattice quotient. Specifically…
cs.IT2025
Upper Bounds on the Minimum Distance of Structured LDPC Codes
François Arnault, Philippe Gaborit, Wouter Rozendaal +2
We investigate the minimum distance of structured binary Low-Density Parity-Check (LDPC) codes whose parity-check matrices are of the form where $\m…