منابع مشابه
Functional codes arising from quadric intersections with Hermitian varieties
We investigate the functional code Ch(X) introduced by G. Lachaud [10] in the special case where X is a non-singular Hermitian variety in PG(N, q2) and h = 2. In [4], F. Edoukou solved the conjecture of Sørensen [11] on the minimum distance of this code for a Hermitian variety X in PG(3, q2). In this paper, we will answer the question about the minimum distance in general dimension N , with N <...
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In [8], J. Hansen uses cohomological methods to find a lower bound for the minimum distance of an evaluation code determined by a reduced complete intersection in P. In this paper, we generalize Hansen’s results from P to Pm; we also show that the hypotheses of [8] may be weakened. The proof is succinct and follows by combining the Cayley-Bacharach Theorem and the bounds on evaluation codes obt...
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We establish two criteria for certain local algebras to be complete intersections. These criteria play an important role in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular. Introduction In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11]. We first fix some notation tha...
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2020
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2019.101621