Description of fast matrix multiplication algorithm: ⟨8×8×16:666⟩

Algorithm type

7 X^{4} Y^{4} Z^{8} + X^{4} Y^{4} Z^{6} + 30 X^{4} Y^{4} Z^{4} + 10 X^{2} Y^{6} Z^{4} + 10 X^{2} Y^{2} Z^{8} + 17 X^{2} Y^{6} Z^{2} + 3 X^{2} Y^{4} Z^{4} + X^{2} Y^{3} Z^{5} + 19 X^{2} Y^{2} Z^{6} + 4 X^{2} Y^{2} Z^{5} + 10 X^{2} Y^{4} Z^{2} + 69 X^{2} Y^{2} Z^{4} + 11 X Y^{3} Z^{4} + 2 X^{2} Y Z^{4} + 19 X Y^{3} Z^{3} + 10 X Y^{2} Z^{4} + 100 X^{2} Y^{2} Z^{2} + X Y^{4} Z + 16 X Y^{2} Z^{3} + 75 X Y Z^{4} + 48 X Y^{3} Z + 50 X Y Z^{3} + 19 X Y^{2} Z + 134 X Y Z

Algorithm definition

The algorithm ⟨8×8×16:666⟩ is taken from:

Andrew I. Perminov. FastMatrixMultiplication, GitHub, February 2026. [ GitHub repository ]

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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