Description of fast matrix multiplication algorithm: ⟨7×8×16:598⟩

Algorithm type

30 X^{4} Y^{4} Z^{4} + 2 X^{2} Y^{6} Z^{4} + 8 X^{2} Y^{6} Z^{2} + 8 X^{2} Y^{4} Z^{4} + 32 X^{2} Y^{4} Z^{2} + 46 X^{2} Y^{2} Z^{4} + 6 X Y^{3} Z^{4} + 2 X Y^{3} Z^{3} + 12 X Y^{2} Z^{4} + 112 X^{2} Y^{2} Z^{2} + 4 X Y^{3} Z^{2} + 20 X Y^{2} Z^{3} + 24 X Y Z^{4} + 24 X Y^{3} Z + 16 X Y^{2} Z^{2} + 16 X Y Z^{3} + 96 X Y^{2} Z + 20 X Y Z^{2} + 120 X Y Z

Algorithm definition

The algorithm ⟨7×8×16:598⟩ 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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