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Error-correcting Codes and Computation

Project description

Better error-correcting codes to boost computing applications

Error-correcting codes offer a redundant data representation that enables recovery of original data even in the presence of noise or corruption. Funded by the European Research Council, the ECCC project aims to advance the connection between error-correcting codes and computational theory. The first goal is to design such codes that optimise the trade-off between redundancy and error resilience, while also enabling super-fast error-correction algorithms. The second goal is to explore how these codes can enhance the efficiency of various computational tasks, potentially leading to highly efficient proof systems, fine-grained inapproximability results, fast derandomisation and low-overhead code-based cryptography.

Objective

Error-correcting codes are a method for a redundant representation of data, that enables one to can recover the original data even in the presence of some noise or corruption. In addition to their wide practical applicability, error-correcting codes are also supported by a rich theory, with connections to diverse disciplines in mathematics, science, and engineering. A particularly fruitful such connection has been the interplay with the theory of computation, where on the one hand, computational methods were used for the design of error-correcting codes admitting efficient error-correction algorithms, and in the reverse direction, such codes were useful for a variety of applications within the theory of computation.

The current project aims to significantly enhance the aforementioned connections. Our first main objective is to design error-correcting codes that on the one hand, achieve the best possible information-theoretic trade-off between their redundancy and error-resilience, and on the other hand, admit super-fast error-correction algorithms. We further believe that such codes are a powerful tool that can be used for boosting the efficiency of various fundamental computational tasks, and our second main objective is to explore such potential applications. We outline a couple of such potential applications within the theory of computation, to obtaining highly-efficient proof systems, fine-grained inapproximability results, fast derandomization, and code-based cryptography with low overhead.

The goals we plan to pursue are fundamental and long-standing, and even a partial progress on them would be groundbreaking, with theoretical, and potentially also practical, impact. Despite the significant challenge, there has recently been an exciting progress towards these goals (including by the PI), and we consequently believe that we are now in a unique position for pursuing these goals.

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Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-STG

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Host institution

UNIVERSITY OF HAIFA
Net EU contribution

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.

€ 1 489 375,00
Address
ABBA KHUSHY BLVD MOUNT CARMEL
31905 Haifa
Israel

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Activity type
Higher or Secondary Education Establishments
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Total cost

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.

€ 1 489 375,00

Beneficiaries (1)

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