Description of fast matrix multiplication algorithm: ⟨32×32×32:15096⟩

Algorithm type

10880X3Y3Z3+544X3Y2Z2+544X2Y3Z2+544X2Y2Z3+850X2Y2Z2+34XY2Z2+17X2YZ+34XY2Z+1649XYZ10880X3Y3Z3544X3Y2Z2544X2Y3Z2544X2Y2Z3850X2Y2Z234XY2Z217X2YZ34XY2Z1649XYZ10880*X^3*Y^3*Z^3+544*X^3*Y^2*Z^2+544*X^2*Y^3*Z^2+544*X^2*Y^2*Z^3+850*X^2*Y^2*Z^2+34*X*Y^2*Z^2+17*X^2*Y*Z+34*X*Y^2*Z+1649*X*Y*Z

Algorithm definition

The algorithm ⟨32×32×32:15096⟩ is taken from:

Oded Schwartz and Eyal Zwecher. Towards faster feasible matrix multiplication by trilinear aggregation. Technical report, arXiv, August 2025. [ arXiv ]

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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