Description of fast matrix multiplication algorithm: ⟨8×11×16:904⟩

Algorithm type

49 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{8} Z^{2} + 12 X^{2} Y^{7} Z^{2} + 3 X Y^{9} Z + 12 X^{6} Y^{2} Z^{2} + 9 X^{4} Y^{2} Z^{4} + 7 X^{3} Y^{3} Z^{4} + 29 X^{2} Y^{6} Z^{2} + 12 X^{2} Y^{4} Z^{4} + 11 X^{2} Y^{2} Z^{6} + 2 X^{5} Y^{2} Z^{2} + 29 X^{2} Y^{5} Z^{2} + X^{2} Y^{3} Z^{4} + X^{2} Y Z^{6} + 3 X Y^{7} Z + 3 X Y^{6} Z^{2} + X^{5} Y Z^{2} + 4 X^{4} Y^{2} Z^{2} + X^{3} Y Z^{4} + 37 X^{2} Y^{4} Z^{2} + 57 X^{2} Y^{2} Z^{4} + 4 X Y^{6} Z + 2 X Y^{5} Z^{2} + X Y^{4} Z^{3} + X Y^{3} Z^{4} + 6 X^{3} Y^{3} Z + X^{3} Y^{2} Z^{2} + 7 X^{2} Y^{3} Z^{2} + 6 X Y^{4} Z^{2} + 5 X Y^{3} Z^{3} + X Y^{2} Z^{4} + X^{3} Y^{2} Z + 2 X^{2} Y^{3} Z + 120 X^{2} Y^{2} Z^{2} + 57 X Y^{4} Z + 28 X Y^{3} Z^{2} + X Y Z^{4} + 26 X^{3} Y Z + 18 X^{2} Y Z^{2} + 66 X Y^{3} Z + 24 X Y^{2} Z^{2} + 22 X Y Z^{3} + 9 X^{2} Y Z + 9 X Y^{2} Z + 107 X Y Z^{2} + 93 X Y Z

Algorithm definition

The algorithm ⟨8×11×16:904⟩ 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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