Divisor class group arithmetic on C3,4 curves

Résumé fourni par la source

We present novel explicit formulas for arithmetic in the divisor class group of a C 3,4 curve.Our formulas handle all cases of inputs and outputs without having to fall back on a generic method.We also improve on the most commonly occurring case by reducing the number of required field inversions to one at the cost of a small number of additional field operations, resulting in running times that are between 11 and 21% faster than the prior state of the art depending on the field size, and even more for small field sizes when nontypical cases frequently arise.

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