Dr Eimear Byrne BA, MSC, PhD
Contact Details
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Biography:
| B.A. Mathematics TCD; M.Sc. Mathematics UCD; PhD Mathematics UCC Member of the Irish Mathematical Society Member of the European Mathematical Society Member of the editorial board of the journal Advances in the Mathematics of Communications, http://www.aimsciences.org/journals/amc/index.htm |
Research Interests
| decoding algorithms, codes over rings, homogeneous weights, linear codes, two-weight codes, Z4 codes, boolean functions, APN functions, network coding, error-correction, bounds on codes |
Research Projects
| Sponsor : Science Foundation Ireland (SFI) Title : Codes over Rings and Applications to Combinatorics Start Date / End Date : 01-SEP-08 / 01-APR-12 |
| Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : APN functions and self-complementary codes Start Date / End Date : 01-SEP-06 / 01-SEP-08 |
Book Chapters
| E. Byrne, T. Mora; (2009) 'Groebner bases over commutative rings with applications to coding theory' In: Sala, Mora, Perret, Sakata, Traverso (eds). Gröbner Bases, Coding, and Cryptography. RISC Series: Springer. [Details] |
Peer Reviewed Journals
| Eimear Byrne, Marcus Greferath, Jaume Pernas and Jens Zumbrägel (2012) 'Algebraic decoding of negacyclic codes over Z4'. Designs Codes and Cryptography, . [DOI] [Details] |
E. Byrne, M. Kiermaier, A. Sneyd; (2012) 'Properties of Codes With Two Homogeneous Weights'. Finite Fields and Their Applications, .  [Details] |
| E. Byrne; (2011) 'On the Weight Distributions of Codes Over Finite Rings'. Advances in the Mathematics of Communications, 5 (2):395-406. [Details] |
| E. Byrne, C. Bracken, G. McGuire, G. Nebe; (2011) 'On the Equivalence of Quadratic APN Functions'. Designs Codes and Cryptography, 61 (3):261-272. [DOI] [Details] |
| Carl Bracken, Eimear Byrne, Nadya Markin and Gary McGuire; (2011) 'A few more quadratic APN functions'. Cryptography and Communications - Discrete Structures, Boolean Functions and Sequences, 3 (1):45-53. [DOI] [Details] |
| E. Byrne, M. Greferath, A. Kohnert, V. Skachek; (2010) 'New Bounds for Codes Over Finite Frobenius Rings'. Designs Codes and Cryptography, 57 (2):169-179. [DOI] [Details] |
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| Flanagan M. F., Skachek V., Byrne E., Greferath M.; (2009) 'Linear-Programming Decoding of Nonbinary Linear Codes'. IEEE Transactions on Information Theory, 55 (9):4134-4154. [Details] | |||||||||
| Bernard Blümich, Qingxia Gong, Eimear Byrne, Marcus Greferath; (2009) 'NMR with excitation modulated by Frank sequences'. Journal of Magnetic Resonance, 199 (1):18-24. [DOI] [Details] | |||||||||
| C. Bracken, E. Byrne, N. Markin, G. McGuire; (2009) 'Fourier Spectra of Binomial APN Functions'. SIAM Journal of Discrete Mathematics, 23 (2):596-608. [DOI] [Details] | |||||||||
| C. Bracken, E. Byrne, N. Markin, G. McGuire; (2008) 'New Families of Almost Perfect Nonlinear Trinomials and Multinomials'. Finite Fields and Their Applications, 14 (3):703-714. [Details] |
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| E. Byrne, M. Greferath and T. Honold; (2008) 'Ring Geometries, Two-Weight Codes and Strongly Regular Graphs'. Designs, Codes and Cryptography, 48 (1):1-16. [Details] | |||||||||
| E. Byrne, M. Greferath, M.O'Sullivan; (2007) 'The Linear Programming Bound for Codes Over Finite Frobenius Rings'. Designs, Codes and Cryptography, 42 (3):289-301. [Details] | |||||||||
| C. Bracken, E. Byrne, N. Markin, G. McGuire; (2007) 'Determining the nonlinearity of a new family of APN functions'. Lecture Notes in Computer Science, 4851 :72-79. [Details] | |||||||||
| C. Bracken, E. Byrne, N. Markin, G. McGuire; (2007) 'On the Walsh Spectrum of a New APN Function'. Lecture Notes in Computer Science, 4887 :92-98. [Details] | |||||||||
| E. Byrne, P. Fitzpatrick; (2002) 'Hamming Metric Decoding of Alternant Codes Over Galois Rings'. IEEE Transactions on Information Theory, 48 (3). [Details] | |||||||||
| E. Byrne; (2002) 'Decoding a Class of Lee Metric Codes Over a Galois Ring, '. IEEE Transactions on Information Theory, 48 (4). [Details] | |||||||||
| E. Byrne; (2001) 'Lifting Decoding Schemes Over a Galois Ring'. Lecture Notes in Computer Science, 2227 :323-332. [Details] | |||||||||
| E. Byrne, P. Fitzpatrick,; (2001) 'Gröbner Bases Over Galois Rings With an Application to Decoding Alternant Codes'. Journal of Symbolic Computation, 31 . [Details] | |||||||||
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Conference Publications
| Eimear Byrne and Alison Sneyd; (2011) On the Parameters of Codes with Two Homogeneous Weights . In: Daniel Augot and Anne Canteaut eds. Proceedings of the 7th International Workshop on Coding and Cryptography (WCC2011) Paris, , 11-APR-11 - 15-APR-11 , pp.81-91 [Details] |
| Eimear Byrne, Marcus Greferath, Jaume Pernas, Jens Zumbraegel ; (2011) Algebraic Decoding of Negacyclic Codes over Z4 . In: Daniel Augot and Anne Canteaut eds. Proceedings of the 7th International Workshop on Coding and Cryptography (WCC2011) , 11-APR-11 - 15-APR-11 , pp.101-111 [Details] |
| Eimear Byrne, Akiko Manada, Stevan Marinkovic, Emanuele Popovici; (2011) A Graph Theoretical Approach for Network Coding in Wireless Body Area Networks Proceedings of the IEEE International Symposium on Information Theory (ISIT2011) St Petersburg, , 31-JUL-11 - 05-AUG-11 , pp.469-463 [Details] |
| E. Byrne, A. Sneyd; (2010) Constructions of Two-Weight Codes Over Finite Rings . In: A. Edelmayer eds. Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS10) , 05-JUL-10 - 11-JUL-10 , pp.333-336 [Details] |
| E. Byrne, M. Greferath, A. Kohnert, V. Skachek; (2009) Refined Bounds for Ring-Linear Codes . In: Peter Boyvalenkov eds. Proceedings of the Sixth International Workshop on Optimal Codes and Related Topics (OC2009) Varna, Bulgaria, , 16-JUN-09 - 22-JUN-09 , pp.55-61 [Details] |
| V. Skachek, M.F. Flanagan, E. Byrne, M. Greferath; (2008) Polytope Representations for Linear-Programming Decoding of Non-Binary Linear Codes Proc. IEEE International Symposium on Information Theory (ISIT2008) [Details] | |||||||||
| M. Flanagan, V. Scatchek, E. Byrne, M. Greferath; (2008) Linear-programming decoding of non-binary linear codes 7th International ITG Conference on Source and Channel Coding (SCC'08) Ulm, Germany, [Details] | |||||||||
| E. Byrne, M. Greferath and M. O'Sullivan; (2007) Duality of ring-linear codes and a linear programming bound Proceedings of the International Workshop on Coding and Cryptography (WCC2007) [Details] | |||||||||
| E. Byrne, M. Greferath, T. Honold; (2005) Two-weight codes over finite Frobenius rings and strongly regular graphs Proceedings of the International Workshop on Optimal Codes and Related Topics (OC2005) [Details] | |||||||||
| E. Byrne, G. McGuire; (2005) On the nonexistence of crooked functions on finite fields Proceedings of the 6th International Workshop on Coding and Cryptography (WCC05) [Details] | |||||||||
| E. Byrne, J. C. Interlando, J. Rosenthal; (2004) The gate complexity of syndrome decoding of Hamming codes Applications of Computer Algebra (ACA 2004) [Details] | |||||||||
| E. Byrne, C. Kelley, C. Monico, J. Rosenthal,; (2003) Non-Linear Codes for Belief Propagation Proceedings of the IEEE International Symposium on Information Theory (ISIT2003), June 2003 *, [Details] | |||||||||
| E. Byrne ; (2001) Decoding a Class of Alternant Codes for the Lee Metric Proceedings of the International Workshop on Coding and Cryptography (WCC01), January 2001 *, [Details] | |||||||||
| E. Byrne, P. Fitzpatrick; (2000) Gröbner Bases and Alternant Codes Over Galois Rings Proceedings of the IEEE International Symposium on Information Theory (ISIT2000), June 2000 *, [Details] | |||||||||
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Dissertations/Theses
| E. Byrne; (2000) Decoding Alternant Codes Over a Galois Ring. Dissertations/Theses [Details] |
Articles
| E. Byrne, K. O'Flaherty; (2004) On linear codes with two Lee weights. Articles [Details] |
| E. Byrne, G. McGuire; (2008) Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials. http://www.arxiv.org: Articles [Details] |
Associations
| Association: European Mathematical Society, Function/Role: member |
| Association: Advances in the Mathematics of Communications (AMC), Function/Role: editorial board member |
Conference Contributions
| Byrne E.; (2010) ALCOMA10. [Published Abstract], ALGEBRAIC COMBINATORICS AND APPLICATIONS, Thurnau, Germany , 11-APR-10 - 18-APR-10. |
| Greferath M., Rosenthal J.; (2010) ITW2010. [Conference Organising Committee Member], IEEE Information Theory Workshop, Dublin , 30-AUG-10 - 03-SEP-10. |
| Byrne E., Sneyd A. ; (2010) MTNS2010. [Published Abstract], 19th International Symposium on on Mathematical Theory of Networks and Systems, Budapest, Hungary , 05-JUL-10 - 09-JUL-10. |
| Byrne E., Greferath M. Kohnert A., Skachek V.; (2009) OC2009. [Published Abstract], 6th International Workshop on Optimal Codes and Related Topics, Varna, Bulgaria , 16-JUN-09 - 22-JUN-09. |
| Byrne E., Greferath M., Kohnert A., Skachek V.; (2009) BCSI Workshop. [Published Abstract], Boole - Claude Shannon Workshop on Coding and Cryptography, Cork , 18-MAY-09 - 19-MAY-09. |
| Byrne E.; (2009) Fq9. [Published Abstract], The 9th International Conference on Finite Fields and Their Applications, Dublin , 13-JUL-09 - 17-JUL-09. | |||||||||
| Byrne E.; (2009) BMC/IMS 2009. [Published Abstract], Joint 61st British Mathematical Colloquium 22nd and Annual Meeting of the Irish Mathematical Society, Galway , 06-APR-09 - 09-APR-09. | |||||||||
| Byrne E.; (2009) CS2009. [Refereed Abstracts], 5th Workshop on Coding and Systems, Dublin , 02-SEP-09 - 04-SEP-10. | |||||||||
| Byrne E.; (2009) BIRS Workshop. [Published Abstract], Applications of Matroid Theory and Combinatorial Optimization to Information and Coding Theory, Banff , 02-AUG-09 - 07-AUG-09. | |||||||||
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Employment
| Employer: UCD Position: College lecturer |
| Employer: NUIM Position: Postdoctoral Fellow |
| Employer: UCC Position: Postdoctoral Researcher |
Education
| Year 2000 Institution: University College Cork Qualification: PhD Subject: |
| Year 1996 Institution: University College Dublin Qualification: MSc Subject: |
| Year 1994 Institution: Trinity College Dublin Qualification: BA Subject: |
Internal Collaborators
| Marcus Greferath, Gary McGuire, Vitaly Skachek, Nadya Markin |
External Collaborators
| Mike O'Sullivan, Thomas Honold, Pat Fitzpatrick, Carl Bracken, Teo Mora, Joachim Rosenthal |
Teaching Interests
Recent Postgraduates
Current Postgraduate Students
| Geoffrey Walsh, Doctor of Philosophy (PhD) - Thesis Supervisor |
| Alison Sneyd, Doctor of Philosophy (PhD) - Thesis Supervisor |
Modules Taught
| 201000 MATH10210 Mathematics: Found. of Math. for Com.Sc. I |
| 201000 MATH40170 Mathematics: Coding Theory |
| 200800 MATH10080 Mathematics: Calculus & Statistics |
| 200800 MATH40080 Mathematics: Galois Theory |
| 200800 MST20050 Mathematical Studies: Linear Algebra II |