Description of fast matrix multiplication algorithm: ⟨6×15×15:859⟩

Algorithm type

16 X^{3} Y^{15} Z^{2} + 4 X^{3} Y^{15} Z + 20 X^{3} Y^{12} Z + 4 X^{4} Y^{6} Z^{4} + 48 X^{3} Y^{9} Z^{2} + 48 X^{2} Y^{9} Z^{3} + 10 X^{3} Y^{9} Z + 8 X Y^{9} Z^{3} + 32 X^{4} Y^{4} Z^{4} + 60 X^{3} Y^{8} Z + 8 X^{2} Y^{8} Z^{2} + 44 X Y^{8} Z^{3} + 2 X^{3} Y^{7} Z + 64 X^{3} Y^{6} Z^{2} + 48 X^{2} Y^{6} Z^{3} + 20 X Y^{7} Z^{3} + 26 X^{3} Y^{6} Z + 3 X^{2} Y^{6} Z^{2} + 6 X Y^{8} Z + 6 X Y^{6} Z^{3} + 2 X^{4} Y^{3} Z^{2} + 36 X^{3} Y^{5} Z + 3 X^{2} Y^{3} Z^{4} + 50 X Y^{5} Z^{3} + 16 X^{4} Y^{2} Z^{2} + 34 X^{3} Y^{4} Z + 24 X^{2} Y^{4} Z^{2} + 24 X^{2} Y^{2} Z^{4} + 16 X Y^{4} Z^{3} + 4 X^{2} Y^{4} Z + 11 X^{2} Y^{3} Z^{2} + 6 X Y^{4} Z^{2} + 96 X^{2} Y^{2} Z^{2} + 22 X Y^{4} Z + 4 X^{2} Y Z + 6 X Y^{2} Z + 6 X Y Z^{2} + 22 X Y Z

Algorithm definition

The algorithm ⟨6×15×15:859⟩ 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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