Description of fast matrix multiplication algorithm: ⟨8×14×14:1004⟩

Algorithm type

52 X^{4} Y^{4} Z^{4} + 4 X^{2} Y^{8} Z^{2} + 20 X^{4} Y^{3} Z^{4} + 16 X^{4} Y^{3} Z^{3} + 4 X^{4} Y^{2} Z^{4} + 22 X^{2} Y^{6} Z^{2} + 36 X^{2} Y^{5} Z^{2} + 4 X^{4} Y^{2} Z^{2} + 6 X^{2} Y^{4} Z^{2} + 296 X^{2} Y^{2} Z^{2} + 24 X Y^{4} Z + 8 X^{3} Y Z + 8 X^{2} Y^{2} Z + 24 X^{2} Y Z^{2} + 104 X Y^{3} Z + 8 X Y Z^{3} + 40 X^{2} Y Z + 24 X Y^{2} Z + 32 X Y Z^{2} + 272 X Y Z

Algorithm definition

The algorithm ⟨8×14×14:1004⟩ 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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