MutantXL is an algorithm for solving systems of polynomial equations

that was proposed at SCC 2008 and improved in PQC 2008. This article

gives an overview over the MutantXL algorithm. It also presents

experimental results comparing the behavior of the MutantXL

algorithm to the $F_4$ algorithm on HFE and randomly generated

multivariate systems. In both cases MutantXL is faster and uses less

memory than the Magma's implementation of $F_4$.