C
Christine Bachoc
Researcher at University of Bordeaux
Publications - 70
Citations - 1641
Christine Bachoc is an academic researcher from University of Bordeaux. The author has contributed to research in topics: Semidefinite programming & Upper and lower bounds. The author has an hindex of 22, co-authored 70 publications receiving 1473 citations.
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Journal ArticleDOI
Applications of Coding Theory to the Construction of Modular Lattices
TL;DR: Using invariant theory, a basis is given for the space of invariants to which belongs the three variables weight enumerator of a self-dual code, and a general bound for the weight of such codes is derived.
Journal ArticleDOI
New upper bounds for kissing numbers from semidefinite programming
Christine Bachoc,Frank Vallentin +1 more
TL;DR: In this article, Schrijver et al. derived new upper bounds for binary codes using semidefinite programming and adapted this approach to codes on the unit sphere and computed new upper bound for the kissing number in several dimensions.
Journal ArticleDOI
Type II codes over Z/sub 4/
TL;DR: The conditions satisfied by the weight enumerator of self-dual codes, defined over the ring of integers module four, have been studied by Klemm (1989), then by Conway and Sloane (1993), and by MacWilliams (1977) transform.
Journal ArticleDOI
On Harmonic Weight Enumerators of Binary Codes
TL;DR: Some new polynomials associated to a linear binary code and a harmonic function of degree k are defined, which classify the extremal even formally self-dual codes of length 12 and can compute some information on the intersection numbers of the code.
Book ChapterDOI
Invariant semidefinite programs
Christine Bachoc,Dion Gijswijt,Dion Gijswijt,Alexander Schrijver,Alexander Schrijver,Frank Vallentin +5 more
TL;DR: In the last years many results in the area of semidefinite programming have been obtained for invariant (finite dimensional, or infinite dimensional) SDPs which have symmetry.