Description of fast matrix multiplication algorithm: ⟨14×14×16:1931⟩

Algorithm type

2 X^{4} Y^{8} Z^{8} + 6 X^{4} Y^{7} Z^{6} + 9 X^{4} Y^{8} Z^{4} + 6 X^{4} Y^{6} Z^{6} + X^{4} Y^{4} Z^{8} + 9 X^{4} Y^{7} Z^{4} + X^{4} Y^{8} Z^{2} + 23 X^{4} Y^{6} Z^{4} + 19 X^{4} Y^{4} Z^{6} + 2 X^{2} Y^{8} Z^{4} + 7 X^{2} Y^{4} Z^{8} + 3 X^{4} Y^{7} Z^{2} + 18 X^{4} Y^{5} Z^{4} + 6 X^{2} Y^{8} Z^{3} + 2 X^{2} Y^{3} Z^{8} + 3 X^{4} Y^{6} Z^{2} + 52 X^{4} Y^{4} Z^{4} + 24 X^{2} Y^{8} Z^{2} + 6 X^{2} Y^{7} Z^{3} + 12 X^{2} Y^{4} Z^{6} + 6 X^{2} Y^{2} Z^{8} + 6 X^{4} Y^{5} Z^{2} + X^{2} Y^{8} Z + 68 X^{2} Y^{7} Z^{2} + 12 X^{2} Y^{6} Z^{3} + 18 X^{2} Y^{3} Z^{6} + 18 X^{4} Y^{4} Z^{2} + 6 X^{2} Y^{7} Z + 77 X^{2} Y^{6} Z^{2} + 8 X^{2} Y^{4} Z^{4} + 36 X^{2} Y^{2} Z^{6} + 3 X Y^{8} Z + 7 X^{4} Y^{3} Z^{2} + 12 X^{2} Y^{6} Z + 29 X^{2} Y^{5} Z^{2} + X^{2} Y^{4} Z^{3} + 17 X^{2} Y^{3} Z^{4} + 10 X Y^{7} Z + 9 X Y^{4} Z^{4} + 4 X^{4} Y^{2} Z^{2} + 6 X^{2} Y^{5} Z + 85 X^{2} Y^{4} Z^{2} + 6 X^{2} Y^{3} Z^{3} + 52 X^{2} Y^{2} Z^{4} + 7 X Y^{6} Z + 30 X Y^{4} Z^{3} + 4 X Y^{3} Z^{4} + 40 X^{2} Y^{4} Z + 70 X^{2} Y^{3} Z^{2} + 24 X^{2} Y^{2} Z^{3} + 2 X^{2} Y Z^{4} + 5 X Y^{5} Z + 31 X Y^{4} Z^{2} + 24 X Y^{3} Z^{3} + X Y^{2} Z^{4} + 18 X^{2} Y^{3} Z + 166 X^{2} Y^{2} Z^{2} + 2 X^{2} Y Z^{3} + 112 X Y^{4} Z + 58 X Y^{3} Z^{2} + 9 X Y^{2} Z^{3} + 19 X Y Z^{4} + 47 X^{2} Y^{2} Z + 80 X Y^{3} Z + 36 X Y^{2} Z^{2} + 63 X Y Z^{3} + 35 X^{2} Y Z + 84 X Y^{2} Z + 74 X Y Z^{2} + 182 X Y Z

Algorithm definition

The algorithm ⟨14×14×16:1931⟩ 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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