Gorenstein simplices of dimension 2s-1 and degree s that are not lattice pyramids are characterized by even binary self-complementary codes, yielding classifications for degrees 3 and 4.
Gorenstein polytopes with trinomialh ∗- polynomials.Beitr
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Gorenstein Simplices and Even Binary Self-Complementary Codes
Gorenstein simplices of dimension 2s-1 and degree s that are not lattice pyramids are characterized by even binary self-complementary codes, yielding classifications for degrees 3 and 4.