Computer Science – Information Theory
Scientific paper
2012-04-13
Computer Science
Information Theory
14 pages; v1->v2: sign typo fixed
Scientific paper
If C is a binary linear code, let C^2 be the linear code spanned by intersections of pairs of codewords of C. We construct an asymptotically good family of binary linear codes such that, for C ranging in this family, the C^2 also form an asymptotically good family. For this we use algebraic-geometry codes, concatenation, and a fair amount of bilinear algebra. More precisely, the two main ingredients used in our construction are, first, a description of the symmetric square of an odd degree extension field in terms only of field operations of small degree, and second, a recent result of Garcia-Stichtenoth-Bassa-Beelen on the number of points of curves on such an odd degree extension field.
No associations
LandOfFree
Asymptotically good binary linear codes with asymptotically good self-intersection spans does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Asymptotically good binary linear codes with asymptotically good self-intersection spans, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotically good binary linear codes with asymptotically good self-intersection spans will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-144593