# Description of fast matrix multiplication algorithm: ⟨3×3×18:120⟩

# Algorithm type

$48{X}^{2}{Y}^{3}{Z}^{3}+72X{Y}^{3}{Z}^{3}$# Algorithm definition

The algorithm ⟨3×3×18:120⟩ is the (Kronecker) tensor product of ⟨1×1×3:3⟩ with ⟨3×3×6:40⟩.

# 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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