Proofs of Two Conjectures On the Dimensions of Binary Codes

Details Proofs of Two Conjectures On the Dimensions of Binary Codes Proofs of Two Conjectures On the Dimensions of Binary Codes

2010-01-28

arxiv.org/abs/1001.5077v2

Mathematics

Combinatorics

29 pages

Scientific paper

Let $\mathcal{L}$ and $\mathcal{L}_0$ be the binary codes generated by the column $\mathbb{F}_2$-null space of the incidence matrix of external points versus passant lines and internal points versus secant lines with respect to a conic in $PG(2, q)$, respectively. We confirm the conjectures on the dimensions of $\mathcal{L}$ and $\mathcal{L}_0$ using methods from both finite geometry and modular representation theory.

Affiliated with

Also associated with

No associations

Rating

Proofs of Two Conjectures On the Dimensions of Binary Codes 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 Proofs of Two Conjectures On the Dimensions of Binary Codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Proofs of Two Conjectures On the Dimensions of Binary Codes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-253973