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06/17/2023
A new approach based on quadratic forms to attack the McEliece cryptosystem
We bring in here a novel algebraic approach for attacking the McEliece c...
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06/06/2023
Correlated Pseudorandomness from the Hardness of Quasi-Abelian Decoding
Secure computation often benefits from the use of correlated randomness ...
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05/02/2023
An extension of Overbeck's attack with an application to cryptanalysis of Twisted Gabidulin-based schemes
In the present article, we discuss the decoding of Gabidulin and related...
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01/09/2023
Codes and modular curves
These lecture notes have been written for a course at the Algebraic Codi...
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12/16/2022
Improved decoding of symmetric rank metric errors
We consider the decoding of rank metric codes assuming the error matrix ...
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08/26/2022
A proof of the Brill-Noether method from scratch
In 1874 Brill and Noether designed a seminal geometric method for comput...
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02/28/2022
On Codes and Learning With Errors over Function Fields
It is a long standing open problem to find search to decision reductions...
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12/14/2021
Right-hand side decoding of Gabidulin code and applications
We discuss the decoding of Gabidulin and interleaved Gabidulin codes. We...
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10/21/2021
How arithmetic and geometry make error correcting codes better
This note completes a talk given at the conference Curves over Finite Fi...
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03/03/2021
Decoding supercodes of Gabidulin codes and applications to cryptanalysis
This article discusses the decoding of Gabidulin codes and shows how to ...
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02/26/2021
Recovering or Testing Extended-Affine Equivalence
Extended Affine (EA) equivalence is the equivalence relation between two...
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11/09/2020
On the hardness of code equivalence problems in rank metric
In recent years, the notion of rank metric in the context of coding theo...
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09/12/2020
On the security of subspace subcodes of Reed-Solomon codes for public key encryption
This article discusses the security of McEliece-like encryption schemes ...
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09/02/2020
Algebraic geometry codes and some applications
This article surveys the development of the theory of algebraic geometry...
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06/25/2020
Rank-metric codes over arbitrary Galois extensions and rank analogues of Reed-Muller codes
This paper extends the study of rank-metric codes in extension fields 𝕃 ...
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02/06/2020
Toward good families of codes from towers of surfaces
We introduce in this article a new method to estimate the minimum distan...
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07/26/2019
Power Error Locating Pairs
We present a new decoding algorithm based on error locating pairs and co...
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05/09/2019
Practical Algebraic Attack on DAGS
DAGS scheme is a key encapsulation mechanism (KEM) based on quasi-dyadic...
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03/22/2019
Anticanonical codes from del Pezzo surfaces with Picard rank one
We construct algebraic geometric codes from del Pezzo surfaces and focus...
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03/07/2019
On the security of a Loidreau's rank metric code based encryption scheme
We present a polynomial time attack of a rank metric code based encrypti...
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05/29/2018
Recovering short secret keys of RLCE in polynomial time
We present a key recovery attack against Y. Wang's Random Linear Code En...
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05/14/2018