12 citations · 15 across the 15 of their papers we have counts for
15 papers
On the Weil descent of Artin-Schreier algebraic function fields over finite fields
Stéphane Ballet, Robert Rolland
Let us consider a generalized Artin-Schreier algebraic function field extension of the rational function field $\F_{p^n}(x)$ defined over the finite field extension $K=\F_{p^n}…
Chaining Multiplications in Finite Fields with Chudnovsky-type Algorithms and Tensor Rank of the k-multiplication
Stéphane Ballet, Robert Rolland
We design a class of Chudnovsky-type algorithms multiplying k elements of a finite extension of order n a finite field K. We prove that these algorithms give a tensor decomposition…
On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry
Stéphane Ballet, Jean Chaumine, Julia Pieltant +3
In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite extensions of finite fields, enriched with some not published recent…
Hamming distances from a function to all codewords of a Generalized Reed-Muller code of order one
Miriam Abdon, Robert Rolland
For any finite field with elements, we study the set of functions from into . We introduce a transformat…
Optimization of Tree Modes for Parallel Hash Functions: A Case Study
Kevin Atighehchi, Robert Rolland
This paper focuses on parallel hash functions based on tree modes of operation for an inner Variable-Input-Length function. This inner function can be either a single-block-length…
On Chudnovsky-Based Arithmetic Algorithms in Finite Fields
Kevin Atighehchi, Stéphane Ballet, Alexis Bonnecaze +1
Thanks to a new construction of the so-called Chudnovsky-Chudnovsky multiplication algorithm, we design efficient algorithms for both the exponentiation and the multiplication in f…