Description of fast matrix multiplication algorithm: ⟨3×8×8:148⟩

Algorithm type

44X2Y2Z2+8XYZ3+36X2YZ+36XY2Z+24XYZ44X2Y2Z28XYZ336X2YZ36XY2Z24XYZ44*X^2*Y^2*Z^2+8*X*Y*Z^3+36*X^2*Y*Z+36*X*Y^2*Z+24*X*Y*Z

Algorithm definition

The algorithm ⟨3×8×8:148⟩ is the (Kronecker) tensor product of ⟨3×8×4:74⟩ with ⟨1×1×2:2⟩.

Algorithm description

Algorithm symmetries

The following group of 2 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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