The name "M4RI" stands for , an algorithm derived from the "Method of the Four Russians" multiplication (M4RM). Key Papers Related to M4RI
"Efficient Dense Gaussian Elimination over the Finite Field with Two Elements": This work details a block-iterative algorithm for PLE decomposition, which has been adopted into the SageMath software . Technical Details of the Algorithm M4RI's efficiency comes from two primary techniques: Gray code tables are used with a length of to enumerate vectors in a subspace spanned by rows. This reduces the number of vector additions. M4ri (100).JPG
Bit-packing allows 64-bit machine words to process 64 elements in parallel because addition in is a logical XOR and multiplication is a logical AND . The name "M4RI" stands for , an algorithm
