Description of fast matrix multiplication algorithm: ⟨12×12×16:1380⟩

Algorithm type

26 X^{4} Y^{6} Z^{4} + 14 X^{4} Y^{5} Z^{4} + 74 X^{4} Y^{4} Z^{4} + 9 X^{9} Y Z + 6 X Y Z^{9} + 48 X^{6} Y^{2} Z^{2} + 48 X^{4} Y^{4} Z^{2} + 12 X^{4} Y^{2} Z^{4} + 101 X^{2} Y^{6} Z^{2} + 12 X^{2} Y^{4} Z^{4} + 42 X^{2} Y^{2} Z^{6} + 6 X^{6} Y Z^{2} + 55 X^{4} Y^{3} Z^{2} + 33 X^{2} Y^{5} Z^{2} + 40 X^{2} Y^{3} Z^{4} + 6 X^{2} Y Z^{6} + 6 X Y^{2} Z^{6} + 3 X^{6} Y Z + 11 X^{4} Y^{2} Z^{2} + 79 X^{2} Y^{4} Z^{2} + 80 X^{2} Y^{2} Z^{4} + 77 X Y^{6} Z + 33 X Y Z^{6} + 9 X^{3} Y^{3} Z + 6 X^{3} Y^{2} Z^{2} + 15 X^{3} Y Z^{3} + 60 X^{2} Y^{4} Z + 10 X Y^{5} Z + 6 X Y^{4} Z^{2} + 9 X Y^{3} Z^{3} + 12 X^{3} Y^{2} Z + 33 X^{3} Y Z^{2} + 44 X^{2} Y^{3} Z + 119 X^{2} Y^{2} Z^{2} + 3 X^{2} Y Z^{3} + 27 X Y^{4} Z + 90 X Y^{3} Z^{2} + 9 X Y^{2} Z^{3} + 9 X^{3} Y Z + 7 X^{2} Y^{2} Z + 16 X^{2} Y Z^{2} + 37 X Y^{2} Z^{2} + 9 X Y Z^{3} + 15 X Y^{2} Z + 14 X Y Z^{2}

Algorithm definition

The algorithm ⟨12×12×16:1380⟩ 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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