Description of fast matrix multiplication algorithm: ⟨8×11×15:848⟩

Algorithm type

12 X^{6} Y^{8} Z^{4} + 12 X^{5} Y^{8} Z^{4} + 22 X^{3} Y^{8} Z^{2} + 33 X^{6} Y^{4} Z^{2} + 51 X^{4} Y^{4} Z^{4} + 2 X^{2} Y^{8} Z^{2} + 15 X^{5} Y^{4} Z^{2} + 24 X^{3} Y^{4} Z^{4} + 2 X Y^{9} Z + 3 X^{3} Y^{3} Z^{4} + 18 X^{2} Y^{6} Z^{2} + 12 X^{2} Y^{2} Z^{6} + X Y^{8} Z + 4 X^{2} Y^{5} Z^{2} + 12 X^{4} Y^{2} Z^{2} + 42 X^{3} Y^{4} Z + 68 X^{2} Y^{4} Z^{2} + 2 X^{2} Y^{2} Z^{4} + 11 X Y^{6} Z + 2 X Y Z^{6} + 41 X^{3} Y^{2} Z^{2} + 6 X^{2} Y^{4} Z + 2 X^{2} Y^{3} Z^{2} + 2 X Y^{5} Z + 9 X Y^{4} Z^{2} + 3 X Y^{3} Z^{3} + 3 X^{2} Y^{3} Z + 84 X^{2} Y^{2} Z^{2} + X Y^{3} Z^{2} + 13 X Y^{2} Z^{3} + 88 X^{3} Y Z + 12 X^{2} Y^{2} Z + 85 X^{2} Y Z^{2} + 41 X Y^{3} Z + 3 X Y^{2} Z^{2} + 38 X Y Z^{3} + 49 X^{2} Y Z + 5 X Y^{2} Z + 13 X Y Z^{2} + 2 X Y Z

Algorithm definition

The algorithm ⟨8×11×15:848⟩ 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.

Back to main table