Description of fast matrix multiplication algorithm: ⟨10×12×16:1176⟩

Algorithm type

12 X^{4} Y^{4} Z^{6} + 16 X^{4} Y^{4} Z^{5} + 48 X^{4} Y^{4} Z^{4} + 8 X^{4} Y^{4} Z^{3} + 8 X^{3} Y^{4} Z^{4} + 4 X Y^{9} Z + 18 X^{6} Y^{2} Z^{2} + 8 X^{3} Y^{4} Z^{3} + 36 X^{2} Y^{6} Z^{2} + 44 X^{2} Y^{4} Z^{4} + 36 X^{2} Y^{2} Z^{6} + 40 X^{2} Y^{4} Z^{3} + 12 X^{2} Y^{2} Z^{5} + 48 X^{2} Y^{4} Z^{2} + 52 X^{2} Y^{2} Z^{4} + 16 X Y^{6} Z + 6 X^{3} Y^{3} Z + 92 X^{2} Y^{2} Z^{3} + 24 X^{3} Y^{2} Z + 106 X^{2} Y^{2} Z^{2} + 6 X Y^{3} Z^{2} + 30 X^{3} Y Z + 52 X Y^{3} Z + 216 X Y^{2} Z^{2} + 176 X Y Z^{3} + 16 X Y^{2} Z + 38 X Y Z^{2} + 8 X Y Z

Algorithm definition

The algorithm ⟨10×12×16:1176⟩ 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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