Projective toric codes over hypersimplices

07/30/2019

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by   Delio Jaramillo, et al.

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Let d≥ 1 be an integer, and let P be the convex hull in R^s of all integral points e_i_1+...+e_i_d such that 1≤ i_1<...< i_d≤ s, where e_i is the i-th unit vector in R^s. Given a finite field F_q, we determine the minimum distance of the projective toric code C_P(d) associated to the hypersimplex P using the projective footprint function of a graded ideal.