Author

Shahram Khazaei

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Preprint Aug 2026

Four-Entropic Matroids Are Quaternary

For an integer $q\ge2$, a matroid is $q$-entropic if its rank function, multiplied by $\log q$, is the joint-entropy function of random variables on a $q$-element alphabet. We prove that a matroid is $4$-entropic if and only if it is representable over $\F_4$. The corresponding statements for alphabet sizes two and thr...

Mohammad Hossein Kalantari, Shahram Khazaei · 0 citations

Preprint Aug 2026

Folded-Algebraic Matroids: Characteristic Rigidity and Almost-Entropic Separation

We introduce folded-algebraic matroids. In such a representation, every matroid element is replaced by a finite tuple of algebraic quantities, and transcendence degree agrees with matroid rank after one uniform scaling. The resulting class contains both algebraic and folded-linear matroids and is contained in the class...

Shahram Khazaei · 0 citations