# Description of fast matrix multiplication algorithm: ⟨2×2×6:21⟩

# Algorithm type

$3{X}^{2}{Y}^{2}{Z}^{2}+18XYZ$# Algorithm definition

The algorithm ⟨2×2×6:21⟩ is taken from:

Hopcroft and Kerr 1971 [DOI]# Algorithm description

# Algorithm symmetries

The following group of 72 isotropies acts as a permutation group on algorithm tensor representation: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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