# Description of fast matrix multiplication algorithm: ⟨3×8×21:385⟩

# Algorithm type

$112{X}^{3}{Y}^{3}{Z}^{2}+168{X}^{3}{Y}^{3}Z+21{X}^{2}{Y}^{2}{Z}^{2}+42XY{Z}^{2}+42XYZ$# Algorithm definition

The algorithm ⟨3×8×21:385⟩ is the (Kronecker) tensor product of ⟨1×1×7:7⟩ with ⟨3×8×3:55⟩.

# 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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