Description of fast matrix multiplication algorithm: ⟨6×14×16:864⟩

Algorithm type

16 X^{4} Y^{6} Z^{4} + 28 X^{4} Y^{4} Z^{4} + 8 X^{2} Y^{8} Z^{2} + 16 X^{2} Y^{3} Z^{6} + 25 X^{2} Y^{6} Z^{2} + 28 X^{2} Y^{2} Z^{6} + 13 X^{2} Y^{5} Z^{2} + 46 X^{2} Y^{4} Z^{2} + 2 X Y^{6} Z + 8 X Y^{4} Z^{3} + 97 X^{2} Y^{3} Z^{2} + 20 X Y^{5} Z + 24 X Y^{3} Z^{3} + 22 X^{2} Y^{3} Z + 115 X^{2} Y^{2} Z^{2} + 50 X Y^{4} Z + 24 X Y^{2} Z^{3} + 44 X^{2} Y^{2} Z + 110 X Y^{3} Z + 8 X Y Z^{3} + 42 X^{2} Y Z + 94 X Y^{2} Z + 24 X Y Z

Algorithm definition

The algorithm ⟨6×14×16:864⟩ 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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