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- W2023308455 abstract "Every elliptic quartic Γ4 of PG(3,q) with n GF(q)-rational points provides a near-MDS code C of length n and dimension 4 such that the collineation group of Γ4 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 Γ4 does not disappear, then C cannot be extended in a natural way by adding a point of PG(3,q) to Γ4." @default.
- W2023308455 created "2016-06-24" @default.
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- W2023308455 date "2005-09-01" @default.
- W2023308455 modified "2023-10-01" @default.
- W2023308455 title "Near-MDS codes arising from algebraic curves" @default.
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- W2023308455 doi "https://doi.org/10.1016/j.disc.2004.05.021" @default.
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