Description of fast matrix multiplication algorithm: ⟨11×11×15:1169⟩

Algorithm type

X^{8} Y^{8} Z^{8} + X^{7} Y^{7} Z^{8} + X^{7} Y^{7} Z^{6} + 2 X^{6} Y^{7} Z^{7} + X^{4} Y^{11} Z^{4} + X^{10} Y^{4} Z^{4} + 2 X^{6} Y^{6} Z^{6} + X^{4} Y^{4} Z^{10} + X^{3} Y^{7} Z^{7} + X^{3} Y^{3} Z^{11} + X^{4} Y^{8} Z^{4} + X^{3} Y^{10} Z^{3} + 2 X^{4} Y^{4} Z^{7} + X^{3} Y^{6} Z^{6} + X^{4} Y^{7} Z^{3} + X^{3} Y^{3} Z^{7} + 22 X^{4} Y^{4} Z^{4} + 2 X^{3} Y^{6} Z^{3} + 3 X^{4} Y^{4} Z^{3} + 5 X^{4} Y^{3} Z^{4} + 2 X^{3} Y^{4} Z^{4} + X^{3} Y^{2} Z^{6} + 4 X^{6} Y^{2} Z^{2} + 3 X^{4} Y^{4} Z^{2} + 5 X^{4} Y^{3} Z^{3} + 2 X^{4} Y^{2} Z^{4} + 5 X^{3} Y^{4} Z^{3} + 5 X^{3} Y^{3} Z^{4} + 6 X^{2} Y^{6} Z^{2} + 7 X^{2} Y^{4} Z^{4} + 6 X^{2} Y^{2} Z^{6} + 2 X^{5} Y^{2} Z^{2} + 2 X^{2} Y^{6} Z + 3 X^{2} Y^{5} Z^{2} + 2 X^{2} Y^{4} Z^{3} + 2 X^{2} Y^{3} Z^{4} + 3 X^{2} Y^{2} Z^{5} + 2 X^{2} Y Z^{6} + X Y^{6} Z^{2} + 2 X Y^{4} Z^{4} + X Y^{2} Z^{6} + X^{4} Y^{2} Z^{2} + 15 X^{2} Y^{4} Z^{2} + X^{2} Y^{3} Z^{3} + 15 X^{2} Y^{2} Z^{4} + X Y^{5} Z^{2} + X Y^{4} Z^{3} + X Y^{3} Z^{4} + X Y^{2} Z^{5} + 4 X^{2} Y^{4} Z + 4 X^{2} Y^{3} Z^{2} + 6 X^{2} Y^{2} Z^{3} + 2 X^{2} Y Z^{4} + 2 X Y^{4} Z^{2} + 2 X Y^{2} Z^{4} + X^{2} Y^{3} Z + 389 X^{2} Y^{2} Z^{2} + X^{2} Y Z^{3} + X Y^{4} Z + X Y^{3} Z^{2} + X Y^{2} Z^{3} + X Y Z^{4} + 7 X^{3} Y Z + 5 X^{2} Y^{2} Z + 5 X^{2} Y Z^{2} + 12 X Y^{3} Z + 12 X Y^{2} Z^{2} + 12 X Y Z^{3} + 64 X^{2} Y Z + 123 X Y^{2} Z + 119 X Y Z^{2} + 242 X Y Z

Algorithm definition

The algorithm ⟨11×11×15:1169⟩ 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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