# On some bounds for symmetric tensor rank of multiplication in finite fields

@article{Ballet2016OnSB, title={On some bounds for symmetric tensor rank of multiplication in finite fields}, author={St{\'e}phane Ballet and Julia Pieltant and Matthieu Rambaud}, journal={ArXiv}, year={2016}, volume={abs/1601.00126} }

We establish new upper bounds about symmetric bilinear complexity in any extension of finite fields. Note that these bounds are not asymptotical but uniform. Moreover, we discuss the validity of certain published bounds.

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SHOWING 1-10 OF 42 REFERENCES

## Algebraic complexities and algebraic curves over finite fields

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## On the tensor rank of multiplication in any extension of Fs

VIEW 3 EXCERPTS

## Characterization of Division Algebras of Minimal Rank and the Structure of Their Algorithm Varieties

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL