Description of fast matrix multiplication algorithm: ⟨31×31×31:14768⟩

Algorithm type

6916 X^{3} Y^{3} Z^{3} + 392 X^{3} Y^{2} Z^{3} + 1624 X^{3} Y^{3} Z + 798 X^{3} Y^{2} Z^{2} + 1190 X^{2} Y^{3} Z^{2} + 378 X^{2} Y^{2} Z^{3} + 102 X^{3} Y^{2} Z + 420 X^{3} Y Z^{2} + 87 X^{2} Y^{3} Z + 592 X^{2} Y^{2} Z^{2} + 14 X^{2} Y Z^{3} + 14 X^{3} Y Z + 107 X^{2} Y^{2} Z + 30 X^{2} Y Z^{2} + 29 X Y^{3} Z + 14 X Y^{2} Z^{2} + 1680 X Y Z^{3} + 47 X^{2} Y Z + 33 X Y^{2} Z + 179 X Y Z^{2} + 122 X Y Z

Algorithm definition

The algorithm ⟨31×31×31:14768⟩ is the projection [[1, 18], [18]] of ⟨32×32×32:15136⟩.

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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