# Algorithm type

${X}^{3}{Y}^{2}Z+17{X}^{2}{Y}^{2}{Z}^{2}+2X{Y}^{4}Z+X{Y}^{2}{Z}^{3}+5{X}^{3}YZ+2{X}^{2}{Y}^{2}Z+X{Y}^{3}Z+2X{Y}^{2}{Z}^{2}+5XY{Z}^{3}+{X}^{2}YZ+13X{Y}^{2}Z+XY{Z}^{2}+7XYZ$

# Algorithm definition

The algorithm ⟨3×5×5:58⟩ is taken from:

 Alexandre Sedoglavic and Alexey Vladimirovich Smirnov. The tensor rank of 5×5 matrices multiplication is bounded by 98 and its border rank by 89. Technical Report 2101.12568, arXiv, January 2021.

# 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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