Description of fast matrix multiplication algorithm: ⟨11×14×16:1520⟩

Algorithm type

24 X^{4} Y^{6} Z^{4} + 6 X^{3} Y^{6} Z^{5} + 6 X^{3} Y^{4} Z^{6} + X Y^{8} Z^{4} + 72 X^{4} Y^{4} Z^{4} + 6 X^{3} Y^{6} Z^{3} + 3 X^{3} Y^{4} Z^{5} + 10 X^{2} Y^{8} Z^{2} + 18 X^{2} Y^{6} Z^{4} + 5 X^{2} Y^{2} Z^{8} + 3 X^{3} Y^{2} Z^{6} + 6 X^{2} Y^{6} Z^{3} + 17 X^{2} Y^{2} Z^{7} + 3 X Y^{6} Z^{4} + 30 X^{4} Y^{2} Z^{4} + 9 X^{3} Y^{4} Z^{3} + 36 X^{2} Y^{6} Z^{2} + 46 X^{2} Y^{4} Z^{4} + 18 X^{2} Y^{3} Z^{5} + 6 X^{2} Y^{2} Z^{6} + 3 X^{2} Y Z^{7} + X Y^{8} Z + 6 X Y^{6} Z^{3} + X Y Z^{8} + 37 X^{2} Y^{3} Z^{4} + 34 X^{2} Y^{2} Z^{5} + 3 X^{2} Y Z^{6} + 8 X Y^{4} Z^{4} + 2 X Y Z^{7} + 3 X^{3} Y^{2} Z^{3} + 22 X^{2} Y^{4} Z^{2} + 100 X^{2} Y^{2} Z^{4} + 6 X^{2} Y Z^{5} + 3 X Y^{6} Z + 9 X Y^{4} Z^{3} + 51 X Y^{3} Z^{4} + X Y Z^{6} + 31 X^{2} Y^{3} Z^{2} + 6 X^{2} Y^{2} Z^{3} + 30 X^{2} Y Z^{4} + 4 X Y^{4} Z^{2} + 29 X Y^{3} Z^{3} + 72 X Y^{2} Z^{4} + 3 X Y Z^{5} + 171 X^{2} Y^{2} Z^{2} + 12 X^{2} Y Z^{3} + 21 X Y^{4} Z + 3 X Y^{3} Z^{2} + 26 X Y^{2} Z^{3} + 61 X Y Z^{4} + 3 X^{2} Y^{2} Z + 45 X^{2} Y Z^{2} + 97 X Y^{3} Z + 42 X Y Z^{3} + 7 X^{2} Y Z + 96 X Y^{2} Z + 3 X Y Z^{2} + 143 X Y Z

Algorithm definition

The algorithm ⟨11×14×16:1520⟩ 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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