Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9512348 | Discrete Mathematics | 2005 | 15 Pages |
Abstract
Every elliptic quartic Î4 of PG(3,q) with nGF(q)-rational points provides a near-MDS code C of length n and dimension 4 such that the collineation group of Î4 is isomorphic to the automorphism group of C. In this paper we assume that GF(q) has characteristic p>3. We classify the linear collineation groups of PG(3,q) which can preserve an elliptic quartic of PG(3,q). Also, we prove for q⩾113 that if the j-invariant of Î4 does not disappear, then C cannot be extended in a natural way by adding a point of PG(3,q) to Î4.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Vito Abatangelo, Bambina Larato,