Corpus ID: 17946962

Efficient Dense Gaussian Elimination over the Finite Field with Two Elements

@article{Albrecht2011EfficientDG,
  title={Efficient Dense Gaussian Elimination over the Finite Field with Two Elements},
  author={Martin R. Albrecht and G. Bard and C. Pernet},
  journal={ArXiv},
  year={2011},
  volume={abs/1111.6549}
}
  • Martin R. Albrecht, G. Bard, C. Pernet
  • Published 2011
  • Computer Science, Mathematics
  • ArXiv
  • In this work we describe an efficient implementation of a hierarchy of algorithms for Gaussian elimination upon dense matrices over the field with two elements. We discuss both well-known and new algorithms as well as our implementations in the M4RI library, which has been adopted into Sage. The focus of our discussion is a block iterative algorithm for PLE decomposition which is inspired by the M4RI algorithm. The implementation presented in this work provides considerable performance gains in… CONTINUE READING
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