Description of fast matrix multiplication algorithm: ⟨6×6×6:153⟩

Algorithm type

63X2Y2Z2+2X2YZ2+24X2YZ+25XY2Z+23XYZ2+16XYZ63X2Y2Z22X2YZ224X2YZ25XY2Z23XYZ216XYZ63*X^2*Y^2*Z^2+2*X^2*Y*Z^2+24*X^2*Y*Z+25*X*Y^2*Z+23*X*Y*Z^2+16*X*Y*Z

Algorithm definition

The algorithm ⟨6×6×6:153⟩ is taken from:

Jakob Moosbauer and Michael Poole. Flip graphs with symmetry and new matrix multiplication schemes. Technical report, arXiv, February 2025. [ arXiv ]

Algorithm description

These encodings are given in compressed text format using the maple computer algebra system. In each cases, the last line could be understood as a description of the encoding with respect to classical matrix multiplication algorithm. As these outputs are structured, one can construct easily a parser to its favorite format using the maple documentation without this software.


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