Description of fast matrix multiplication algorithm: ⟨6×13×15:763⟩

Algorithm type

13 X^{4} Y^{5} Z^{4} + 27 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{7} Z^{2} + 2 X^{2} Y^{5} Z^{4} + 2 X^{2} Y^{3} Z^{6} + 4 X^{6} Y^{2} Z^{2} + X^{3} Y^{6} Z + 9 X^{2} Y^{6} Z^{2} + 2 X^{2} Y^{4} Z^{4} + 6 X^{2} Y^{2} Z^{6} + 2 X Y^{8} Z + 2 X^{4} Y^{3} Z^{2} + 27 X^{2} Y^{5} Z^{2} + 8 X^{2} Y^{3} Z^{4} + X Y^{7} Z + 2 X Y^{6} Z^{2} + 2 X^{4} Y^{2} Z^{2} + X^{3} Y^{4} Z + 59 X^{2} Y^{4} Z^{2} + 18 X^{2} Y^{2} Z^{4} + 14 X Y^{6} Z + X Y^{4} Z^{3} + 15 X^{3} Y^{3} Z + 5 X^{2} Y^{4} Z + 60 X^{2} Y^{3} Z^{2} + 31 X Y^{5} Z + 4 X Y^{4} Z^{2} + 10 X Y^{3} Z^{3} + 10 X^{3} Y^{2} Z + 15 X^{2} Y^{3} Z + 82 X^{2} Y^{2} Z^{2} + 40 X Y^{4} Z + 21 X Y^{3} Z^{2} + 10 X Y^{2} Z^{3} + 13 X^{3} Y Z + 4 X^{2} Y^{2} Z + X^{2} Y Z^{2} + 59 X Y^{3} Z + 21 X Y^{2} Z^{2} + 35 X Y Z^{3} + 4 X^{2} Y Z + 50 X Y^{2} Z + 28 X Y Z^{2} + 38 X Y Z

Algorithm definition

The algorithm ⟨6×13×15:763⟩ 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