Skip to main content
Go to the home page of the European Commission (opens in new window)
English en
CORDIS - EU research results
CORDIS

Limits and Efficiency of Coding Against Synchronization Errors

Project description

New error-correcting approaches for modern data storage systems

Transmitting information over noisy communication channels is challenging, especially when the sender and receiver lose synchronisation. For example, in DNA-based data storage, bits of information can be deleted or corrupted, making it harder to accurately retrieve data. These synchronisation errors require entirely new techniques as existing ones for simpler channels break down. The ERC-funded LESYNCH project will study channels where synchronisation is lost and design reliable, nearly optimal codes and efficient procedures to correct errors. The proposed research will help improve data storage systems, opening up new possibilities in communication technology.

Objective

Understanding the limits of reliable information transmission over noisy communication channels and designing efficient
codes for such channels are major cornerstones of information and coding theory. Most techniques developed in this area in the last 75 years have been targeted at discrete memoryless channels, which have the property that the i-th received symbol is an independent noisy function of the i-th transmitted symbol only. As a result, sender and receiver are synchronized, greatly simplifying their analysis. The study of such channels has given rise to a rich theory with many important applications beyond their original motivation.

The project's goal is to tackle fundamental problems in the theory of information and efficient coding for channels which cause a loss of synchronization between sender and receiver. Besides theoretical interest, these channels capture important properties of modern data storage systems, such as DNA-based data storage. Almost all techniques designed for discrete memoryless channels break down when applied to channels with loss of synchronization. Therefore, studying even the simplest such channels (like the Binary Deletion Channel, which independently deletes each input bit with some probability) requires developing conceptually new techniques. I expect these techniques to have groundbreaking influence in other areas, like the techniques developed for discrete memoryless channels did.

In this project, I aim to characterize the capacity of channels with synchronization errors and to design reliable codes with nearly-optimal rate and efficient encoding and error-correction procedures for these channels. This includes multi-trace channels with synchronization errors (that produce multiple corrupted outputs on a given input) and channels with correlated synchronization errors, both motivated by applications to DNA-based data storage.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-ERC - HORIZON ERC Grants

See all projects funded under this funding scheme

Call for proposal

(opens in new window) ERC-2025-STG

See all projects funded under this call

Host institution

INSTITUTO DE TELECOMUNICACOES
Net EU contribution
€ 1 497 145,00
Address
CAMPUS UNIVERSITARIO DE SANTIAGO UNIVERSIDADE DE AVEIRO
3810-193 GLORIA E VERA CRUZ
Portugal
Activity type
Research Organisations
Links
Total cost
€ 1 497 145,00

Beneficiaries (1)