Overall Objectives
Scientific Foundations
Application Domains
New Results
Contracts and Grants with Industry
Other Grants and Activities

Section: Overall Objectives

Main topics

TANC is located in the Laboratoire d'Informatique de l'École polytechnique (LIX). The project was created on 2003-03-10.

The aim of the TANC project is to promote the study, implementation and use of robust and verifiable asymmetric cryptosystems based on algorithmic number theory.

It is clear from this statement that we combine high-level mathematics and efficient programming. Our main area of competence and interest is that of algebraic curves over finite fields, and most notably the computational aspects of these objects, which appear as a substitute for modular arithmetic in new analogues of old-fashioned cryptography. One reason for this change is that we can achieve an equivalent security level with a much smaller key size. Our research contributes to the effort to find a diverse range of secure substitutes for the famous RSA (Rivest–Shamir–Adleman) cryptosystem, in case some attack appears and destroys the products that use it.

Whenever possible, we produce certificates (proofs) of validity for the objects and systems we build. For instance, an elliptic curve has many invariants, and their values need to be proved, since they may be difficult to (re-)compute.

Our research area includes:


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