Objective
The advent of large-scale quantum computers threatens the security of classical public-key cryptography, since the underlying factorization and discrete logarithm problems can be efficiently solved using quantum algorithms. Isogeny-based cryptography has emerged as a promising post-quantum alternative, relying on the hardness of computing isogenies, i.e. rational maps between elliptic curves.
Despite remarkable progress, current isogeny-based schemes face significant challenges concerning flexibility, efficiency, and parameter generation. Moreover, the hard problems on which their security relies are relatively recent, making their analysis an essential and ongoing endeavour. IsoPODS (Isogeny-based Primitives, Optimisations, and Dynamical Systems) addresses these issues through three complementary directions.
First, it investigates the design and optimisation of cryptographic primitives based on group actions, instantiating recent blind signature schemes (Tanuki) with state-of-the-art isogeny-based group actions (PEGASIS), and exploring the possibility of constructing advanced schemes including blind, aggregate, and multi-signatures.
Second, it targets the optimisation of zero-knowledge proof frameworks for isogenies, leveraging different families of modular polynomials to obtain algebraically compact representations suited for zk-SNARK/IOP-compatible arithmetisations. These can be used, in particular, to generate supersingular elliptic curves with unknown endomorphism ring via a multi-party ceremony.
Third, it addresses the latter task – but without the need for the multi-party setting – by studying discrete dynamical systems on the set of elliptic curves, with the further purpose of finding structural weaknesses in isogeny graphs.
Combining tools from algebraic geometry, number theory, and cryptography, the project intends to deliver new theoretical insights and frameworks that can inform the design of secure and efficient isogeny-based cryptosystems.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences computer and information sciences computer security cryptography
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics arithmetics logarithmic functions
- natural sciences mathematics pure mathematics algebra algebraic geometry
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2025-PF
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
78153 Le Chesnay Cedex
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.