Objective
Applications of rank-metric codes arise ever more frequently in network communications problems, and yet their mathematical theory is still in its infancy. To date attention has almost exclusively focussed on very special classes of codes and their generalizations.
The covering problem for rank-metric codes is largely unsolved, and is an important combinatorial research topic. For error-free paradigms, codes with low covering radius provide efficient solutions for broadcast problems, and specifically to optimizing content delivery networks for large files distribution. Current approaches to such applications are suboptimal, while known methods to obtaining best possible performance are computationally infeasible. For error-correcting schemes, the covering radius is an important indicator of code performance, as it measures the number of errors that can be corrected in network transmissions.
We propose to develop a mathematical theory of covering codes for the rank metric. We will obtain bounds on the covering radius of an arbitrary rank-metric code, as well as special classes of codes. We will develop the fundamental tools required to pioneer this theory, offering scope for researchers of Algebraic Coding Theory, as well as combinatorial objects useful for Engineering applications. We will also investigate symmetric rank-metric codes, focussing on their distance distributions. These codes have a very rich combinatorial structure.
The combined expertise of the Applied Algebra group at UCD, along with the methods developed by the applicant in his PhD, will propel the project to achieve its objectives. The potential scientific impact is high, given the newness and combinatorial hardness of the topic, its importance for network communications, and exponentially increasing data traffic. The impact for the applicant will be the opportunity to establish this fundamental topic, magnify his scientific profile, and consolidate/expand his professional network.
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.
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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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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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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) H2020-MSCA-IF-2016
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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.
4 DUBLIN
Ireland
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.