Project description
A new approach to make unbreakable encryption
Cryptography, essential for internet privacy and security, hinges on the conjectured difficulty of problems like factoring and discrete logarithms. These problems have algebraic structures that might expose vulnerabilities. Alarmingly, only a few hard problems underpin critical tasks like key exchange and public-key encryption. A breakthrough in algorithms could destabilise our digital security. The ERC-funded KolmoCrypt project aims to address this by creating a new cryptographic foundation based on unstructured hardness assumptions derived from Kolmogorov Complexity. This approach eliminates the weaknesses of current structured problems. It also offers a more robust and secure cryptographic framework for the internet and beyond.
Objective
Cryptography—and its basic tasks such as encryption, authentication and key exchange—is essential for ensuring privacy and security on the Internet. The question of whether “unbreakable” encryption methods exist has fascinated mathematicians and cryptographers for thousands of years, and is closely related to the famous NP vs. P problem. This question is still wide open and consequently, Internet security today relies on cryptographic constructions based on the *conjectured* hardness of some computational problems (such as e.g. the factoring problem, the discrete logarithms problem or various noisy linear algebra problems).
However, these conjectured hard problems all contain significant (e.g. algebraic) *structure*, that may make them vulnerable to attacks. Furthermore, for tasks such as key exchange and public-key encryption, only a *handful* of candidate hard problems are known on which these tasks can be based. As a result, some unexpected algorithmic developments for structured problems could upend the whole infrastructure we rely on for communicating and transacting on the Internet.
In this project, we propose to develop an alternative approach: a foundation for provably-secure Cryptography from *unstructured hardness* assumptions. Towards resolving this long-standing challenge, we will leverage our recently-discovered connection between Cryptography and the seemingly unrelated area of Kolmogorov Complexity. Specifically, we will develop new hardness assumptions rooted in Kolmogorov Complexity on which the cryptographic tasks (e.g. private-key encryption, key-exchange, public-key encryption) can be based. Critically, these assumptions will lack algebraic and other computational structure that may make them vulnerable to attacks. Overall, KolmoCrypt will provide a new theoretical foundation for the hardness assumptions on which Cryptography is based, and ultimately, a more secure foundation for the Internet (and beyond).
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 internet
- natural sciences computer and information sciences computer security cryptography
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics arithmetics logarithmic functions
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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.1.1 - European Research Council (ERC)
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-ERC - HORIZON ERC Grants
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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) ERC-2023-ADG
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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.
32000 Haifa
Israel
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.