Description of fast matrix multiplication algorithm: ⟨13×13×14:1511⟩

Algorithm type

64 X^{4} Y^{4} Z^{4} + 11 X^{4} Y^{4} Z^{3} + X^{4} Y^{3} Z^{4} + 22 X^{3} Y^{4} Z^{4} + 10 X^{3} Y^{4} Z^{3} + 10 X^{3} Y^{3} Z^{4} + 2 X^{3} Y^{3} Z^{3} + 168 X^{4} Y^{2} Z^{2} + 33 X^{2} Y^{4} Z^{2} + 30 X^{2} Y^{2} Z^{4} + 57 X^{3} Y^{2} Z^{2} + 4 X^{2} Y^{4} Z + 3 X^{2} Y^{3} Z^{2} + 5 X^{2} Y^{2} Z^{3} + X^{2} Y Z^{4} + 2 X Y^{4} Z^{2} + 4 X Y^{2} Z^{4} + 34 X^{4} Y Z + 274 X^{2} Y^{2} Z^{2} + 2 X Y^{2} Z^{3} + 8 X^{3} Y Z + 80 X^{2} Y^{2} Z + 76 X^{2} Y Z^{2} + 11 X Y^{2} Z^{2} + 224 X^{2} Y Z + 81 X Y^{2} Z + 81 X Y Z^{2} + 213 X Y Z

Algorithm definition

The algorithm ⟨13×13×14:1511⟩ 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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