Séminaire de Cryptographie

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Marco Streng

Computing Igusa class polynomials

Igusa class polynomials are the genus-2 analogue of the classical Hilbert class polynomials. We explain these notions and discuss the differences between the classical (elliptic) case and the genus-2 case, mostly from a computational perspective. One of the main applications of Igusa class polynomials is the construction of genus-2 curves that are suitable for cryptography.