output
20122021
most citedDecoding color codes by projection onto surface codes

90 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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4 papers · 1 filter

math.AG2021★ 1 cited

How arithmetic and geometry make error correcting codes better

Alain Couvreur

This note completes a talk given at the conference Curves over Finite Fields: past, present and future celebrating the publication the book {\em Rational Points on Curves over Fini…

math.AG2016★ 12 cited

Remarks on Tsfasman-Boguslavsky Conjecture and Higher Weights of Projective Reed-Muller Codes

Mrinmoy Datta, Sudhir R. Ghorpade

Tsfasman-Boguslavsky Conjecture predicts the maximum number of zeros that a system of linearly independent homogeneous polynomials of the same positive degree with coefficients in…

math.AG2013★ 6 cited

Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field

Stéphane Ballet, Jean Chaumine, Julia Pieltant

We obtain new asymptotical bounds for the symmetric tensor rank of multiplication in any finite extension of any finite field $\F_q$. In this aim, we use the symmetric Chudnovsky-t…

math.AG2013★ 10 cited

New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields

Julia Pieltant, Hugues Randriam

We obtain new uniform upper bounds for the (non necessarily symmetric) tensor rank of the multiplication in the extensions of the finite fields $\F_q$ for any prime or prime power…