Description of fast matrix multiplication algorithm: ⟨6×13×16:798⟩

Algorithm type

24 X^{4} Y^{10} Z^{4} + 36 X^{2} Y^{10} Z^{2} + 20 X^{2} Y^{9} Z^{2} + 28 X^{2} Y^{7} Z^{4} + 22 X^{4} Y^{4} Z^{4} + 6 X^{3} Y^{5} Z^{4} + 20 X^{2} Y^{6} Z^{4} + 16 X Y^{10} Z + 16 X Y^{9} Z + 10 X^{6} Y^{2} Z^{2} + 6 X^{4} Y^{4} Z^{2} + 21 X^{2} Y^{6} Z^{2} + 14 X^{2} Y^{2} Z^{6} + 2 X Y^{8} Z + 22 X Y^{7} Z^{2} + X^{3} Y^{5} Z + 9 X^{2} Y^{5} Z^{2} + 5 X Y^{7} Z + 24 X Y^{6} Z^{2} + 6 X^{3} Y^{4} Z + 25 X^{2} Y^{4} Z^{2} + 13 X Y^{6} Z + 6 X Y^{5} Z^{2} + 10 X^{3} Y^{3} Z + 18 X^{2} Y^{3} Z^{2} + 5 X Y^{5} Z + 10 X Y^{3} Z^{3} + 8 X^{3} Y^{2} Z + 99 X^{2} Y^{2} Z^{2} + 8 X Y^{4} Z + 8 X Y^{2} Z^{3} + 27 X^{3} Y Z + 44 X Y^{3} Z + 60 X Y^{2} Z^{2} + 34 X Y Z^{3} + 52 X Y^{2} Z + 36 X Y Z^{2} + 27 X Y Z

Algorithm definition

The algorithm ⟨6×13×16:798⟩ 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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