155 citations · 475 across the 22 of their papers we have counts for
5 papers · 1 filter
Bounds for projective codes from semidefinite programming
Christine Bachoc, Alberto Passuello, Frank Vallentin
We apply the semidefinite programming method to derive bounds for projective codes over a finite field.
On Bounded Weight Codes
Christine Bachoc, Venkat Chandar, Gerard Cohen +2
The maximum size of a binary code is studied as a function of its length N, minimum distance D, and minimum codeword weight W. This function B(N,D,W) is first characterized in term…
Applications of semidefinite programming to coding theory
Christine Bachoc
We survey recent generalizations and improvements of the linear programming method that involve semidefinite programming. A general framework using group representations and tools…
Bounds for binary codes relative to pseudo-distances of k points
Christine Bachoc, Gilles Zemor
We apply Schrijver's semidefinite programming method to obtain improved upper bounds on generalized distances and list decoding radii of binary codes.
Semidefinite programming, harmonic analysis and coding theory
Christine Bachoc
These lecture notes where presented as a course of the CIMPA summer school in Manila, July 20-30, 2009, Semidefinite programming in algebraic combinatorics. This version is an upda…