Description
In 1978, McEliece introduced a public key encryption scheme based on linear codes and suggested to use classical Goppa codes, ie: subfield subcodes of algebraic geometric (AG) codes built on a curve of genus 0. This proposition remains secure and in order to have a generalization of classical Goppa codes, in 1996, H. Janwa and O. Moreno suggested to use subfield subcode of AG codes, which we call alternant AG codes. This proposition give a bigger choice of code because we can vary the curve, the genus, and the rational points of the divisor which generate the code. The principal limitation is the very large public keys of these codes compared to other public-key cryptosystems. To overcome this limitation, we decrease the key size by choosing codes which admit very compact public matrix. A way to obtained short key is to use codes having a non-trivial automorphisme group, for instance here we deal with quasi-cyclic alternant AG codes.
Next sessions
-
Schéma de signature à clé publique : Frobénius-UOV
Speaker : Gilles Macario-Rat - Orange
L'exposé présente un schéma de signature à clé publique post-quantique inspiré du schéma UOV et introduisant un nouvel outil : les formes de Frobénius. L'accent est mis sur le rôle et les propriétés des formes de Frobénius dans ce nouveau schéma : la simplicité de description, la facilité de mise en oeuvre et le gain inédit sur les tailles de signature et de clé qui bat RSA-2048 au niveau de[…] -
Yoyo tricks with a BEANIE
Speaker : Xavier Bonnetain - Inria
TBD-
Cryptography
-
Symmetrical primitive
-