155 citations · 475 across the 22 of their papers we have counts for
4 papers · 1 filter
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…
Invariant semidefinite programs
Christine Bachoc, Dion C. Gijswijt, Alexander Schrijver +1
In the last years many results in the area of semidefinite programming were obtained for invariant (finite dimensional, or infinite dimensional) semidefinite programs - SDPs which…
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.