Functional codes arising from quadric intersections with Hermitian varieties
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Cites background from "Functional codes arising from quadr..."
...Its minimum distance, small weight code words and divisors have been studied before in [47, 49, 52] for n = 3, in [48] for n = 4 and in [69] for 5 ≤ n ≤ O(q(2))....
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...We recall another result from [69] and we make an observation about a case that was not treated in [69]....
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"Functional codes arising from quadr..." refers background in this paper
...Consider a non-singular quadric or Hermitian variety X in N dimensions, then a non-tangent hyperplane intersects X in a non-singular quadric or non-singular Hermitian variety, and a tangent hyperplane intersects this non-singular quadric or Hermitian variety X in a cone π0X′ , with X′ a quadric or Hermitian variety in N − 2 dimensions of the same type as X; see [1,2] for these properties in the case of Hermitian varieties....
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"Functional codes arising from quadr..." refers background in this paper
...The functional code C2(X) [10] is the linear code C2(X) = {( f (P1), ....
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...Lachaud (1996) [10] in the special case where X is a non-singular Hermitian variety in PG(N,q2) and h = 2....
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...…November 2009 Available online 9 December 2009 Communicated by Gary L. Mullen Keywords: Functional codes Quadrics Hermitian varieties We investigate the functional code Ch(X) introduced by G. Lachaud (1996) [10] in the special case where X is a non-singular Hermitian variety in PG(N,q2) and h = 2....
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