Abdulla Eid

Abdulla Eid


Assistant Professor of Mathematics

University of Bahrain, Bahrain Teachers College

Welcome to the research homepage

My Research interests lies in the field of Applied Algebraic Geometry and Number Theory. In particular, I am interested in the applications of Algebraic Geometry and Number Thoery to other fields of mathematics such as coding theory, algebraic curves over finite fields, secure multiparty computation, secret sharing, and problems in communication networks.

Research Papers

  • Abdulla Eid and Iwan Duursma, Smooth embedding for the suzuki and ree curves, To appear in the proceedings of the conference on Arithmetic, Geometry and Coding Theory (AGCT 2013) which will be published by AMS Contemporary Mathematics. Preprint available online on ArXiv.
  • Abdulla Eid, Hilaf Hasson, Amy Ksir, and Justin Peachey, Suzuki-invariant codes from the suzuki curve. Submitted. Preprint is available online on ArXiv.
  • Jameela Al-Jaroodi, Nader Mohamed, and Abdulla Eid. 2014. Dual direction big data download and analysis. ACM SIGMETRICS Perform. Eval. Rev. 41, 4 (April 2014), 98-101. Available online in the ACM Digital Library.
  • N. Mohamed, J. Al-Jaroodi, I. Jawhar, and A. Eid, Using mobile sensors to enhance coverage in linear sensor networks, Accepted in the 12th IEEE International Symposium on Network Computing and Applications (IEEE NCA’13), pp. 1--6, Cambridge, MA, USA. August 22-24, 2013. Available online on IEEE.
  • Nader Mohamed, Jameela Al-Jaroodi, and Abdulla Eid, A dual-direction technique for fast file downloads with dynamic load balancing in the cloud, J. Network and Computer Applications 36 (2013), no. 4, 1116–1130. Available online of ScienceDirect.

Preprint and in prepration

  • Abdulla Eid and Iwan Duursma, Using concatenated algebraic codes in channel polarization, (2013). Preprint isavailable online on ArXiv.
  • Abdulla Eid, Function field construction of the MSR and MBR regenerating codes, In Prepration.

Thesis

"Invariant Embedding of the Deligne-Lusztig Curves with Application", advised by Prof. Iwan Duursma. May 2013, University of Illinois at Urbana-Champaign.

Talks

In April 2014, I spoke at the CAMS workshop in coding theory at the American university in Beirut. The talk was about using concatenated algebraic geometry codes in channel polarization.

On November 2013, In the special semester on applications of Algebra and Number Theory. The talk was given by Prof. Iwan Duursma and it was about finding smooth models for the Suzuki and Ree curves.

In June 2011, in the Number Theory Summer Workshop on Function Fields in Positive Characteristic, Colorado State University, Fort Collins, sponsored by NSF grant DMS-11-01712. The result of this workshop was a joint paper with H.Hasson, A.Ksir and J.Peachey on Suzuki-invariant codes from the Suzuki curve.

Projects and Presentations

In this section, you will find some of the projects and presentation that I did when I was graduate and undergraduate student.

Smooth models for the Deligne-Lusztig Curves of dimension 2

Suzuki-invariant codes from the Suzuki curve

Together with Amy Ksir, Hasson Hilaf, and Justin Peachey we consider the Suzuki curve and we give an explicit basis for certain Riemann-Roch space that we use to consturct AG-code with high information rate.

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