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Eimear Byrne

Lecturer/Assistant Professor

School Of Mathematics & Statistics
Science Centre
Belfield
Dublin 4

Tel: +353 1 7162547
Email: ebyrne@ucd.ie

Biography

B.A. Mathematics TCD;
M.Sc. Mathematics UCD;
PhD Mathematics UCC;
Member of the editorial board of the journal Advances in the Mathematics of Communications, http://www.aimsciences.org/journals/amc/index.htm

Professional

 

Associations

Association: Advances in the Mathematics of Communications (AMC), Function/Role: editorial board member

Patents

Patent EP2177925 A1 : Magnetic resonance method using a phase-modulated pulse train with a constant small flip angle
   

Conference Contributions

E. Byrne (2015) On the Index Coding and Caching Problems. [Plenary Lecture], Algebraic Combinatorics and Applications Conference (ALCOMA15), Kloster Banz , 16-MAR-15 - 20-MAR-15.
E. Byrne (2015) Index Coding, Caching and Big Data Delivery. [Roundtable Participant], Mathematical Coding Theory in Multimedia Streaming, Banff International Research Station , 12-OCT-15 - 16-OCT-15.
E. Byrne (2015) Covering Properties of Rank Metric Codes. [Refereed Abstracts], Design and Application of Random Network Codes (DARNEC15), Istanbul , 04-NOV-15 - 06-NOV-15.
E. Byrne (2015) Coded-Caching in Broadcast Networks. [Invited Lecture], When Boole Meets Shannon - Second i-RISC Workshop, University College Cork , 01-SEP-15 - 02-SEP-15.
E. Byrne (2015) Broadcasting With Coded-Side Information. [Invited Lecture], SIAM Conference on Applied Algebraic Geometry (AG15), Daejeon, Korea , 03-AUG-15 - 07-AUG-15.
E. Byrne, M. Bossert, E. Soljanin (2016) [Conference Organising Committee Chairperson], Dagstuhl Seminar 16321 Coding Theory in the Time of Big Data, Schloss Dagstuhl , 07-AUG-16 - 12-AUG-16.
E. Byrne (2017) [Conference Technical Committee Chairperson], International Castle Meeting on Coding Theory and Applications (ICTMA 2017), Estonia , 28-AUG-17 - 31-AUG-17.
E. Byrne (2017) [Conference Organising Committee Member], Workshop on Trusted Smart Contracts (WTSC), Malta , 07-APR-17 - 07-APR-17.
E. Byrne (2017) [Conference Technical Committee Chairperson], International Conference on Mathematical Aspects of Computer and Information Sciences (MACIS 2017), Vienne , 15-NOV-17 - 17-NOV-17.
E. Byrne (2017) [Conference Technical Committee Chairperson], International Workshop on Coding and Cryptography (WCC2017), St. Petersberg , 18-SEP-17 - 22-SEP-17.
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.

Committees

Committee : College Research Innovation and Impact Board
Committee : School of Mathematics and Statistics Executive Committee

Employment

Employer: Univ. Notre Dame
Position: Visiting Lecturer
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:
     

Journals Edited

Discrete Mathematics: Reviewer.
Siam Journal On Discrete Mathematics: Reviewer.
Ieee Transactions On Communications: Reviewer.
Finite Fields And Their Applications: Reviewer.
Designs Codes And Cryptography: Reviewer.
Cryptography And Communications - Discrete Structures, Boolean Functions And Sequences : Reviewer.
Journal Of Combinatorial Theory Series A: Reviewer.
Ieee Transactions On Information Theory: Reviewer.
Advances In Mathematics Of Communications: Editorial Board member.
 

Publications

 

Book Chapters

E. Byrne, M. Calderini (2018) 'Index-Coding, Network Coding and Broadcast with Side-Information' In: M. Greferath, M. Pavcevic, A. Vazquez-Castro, N. Silberstein (eds). Network Coding and Subspace Designs. Berlin: Springer-Verlag. [Details]
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

E. Byrne (2018) 'Induced Weights on Quotient Modules and an Application to Error Correction in Coherent Networks'. Finite Fields and their Applications, 52 :174-199. [Details]
Ivan Blanco-Chacon, Eimear Byrne, John Sheekey, Iwan Duursma (2017) 'On the Zeta Function of a Rank Metric Code'. Designs, Codes, and Cryptography, . [Details]
Eimear Byrne and Alberto Ravagnani (2017) 'Covering Radius of Matrix Codes Endowed with the Rank Metric'. SIAM Journal on Discrete Mathematics, 31 (2):927-944. Link to full text [Details]
E. Byrne, M. Calderini (2017) 'Bounding the Optimal Rate of the ICSI and ICCSI Problems'. SIAM Journal on Discrete Mathematics, 31 (2):1403-1427. Link to full text [Details]
E. Byrne (2016) 'Subspaces, Matrices and Codes'. IEEE Information Theory Society Newsletter, 66 (3):5-13. Link to full text [Details]
M. Bossert, E. Byrne, E. Soljanin (2016) 'Coding Theory in the Time of Big Data (Dagstuhl Seminar 16321)'. Dagstuhl Reports, 6 (8):1-20. Available Online Link to full text [Details]
E. Byrne, M. Calderini (2017) 'Error Correction for Index Coding With Coded Side Information'. IEEE Transactions on Information Theory, 63 (6):3712-3728. [DOI] Link to full text [Details]
Eimear Byrne (2000) 'Decoding a Class of Alternant Codes for the Lee Metric'. Electronic Notes in Discrete Mathematics, 6 :178-186. [Details]
Bracken, C., Byrne, E., McGuire, G.; (2007) 'On the Walsh Spectrum of a New APN Function'. Lecture Notes in Computer Science, 4887 . [Details]
C. Bracken, E. Byrne, N. Markin, G. McGuire (2008) 'New families of quadratic almost perfect nonlinear trinomials and multinomials'. Finite Fields and their Applications, 14 :703-714. [Details]
B. Blumich, B, Q.X. Gong, E. Byrne, M. Greferath (2009) 'NMR with excitation modulated by Frank sequences'. Journal of Magnetic Resonance, 199 :18-24. [Details]
E. Byrne, A. Sneyd (2016) 'Two-Weight Codes, Graphs and Orthogonal Arrays'. Designs, Codes, and Cryptography, 79 (2):201-217. Available Online [DOI] Link to full text [Details]
Eimear Byrne, Marcus Greferath, Jaume Pernas and Jens Zumbrägel (2013) 'Algebraic Decoding of Negacyclic Codes Over Z4'. Designs, Codes, and Cryptography, 66 (1-3):3-16. [DOI] [Details]
E. Byrne, M. Kiermaier, A. Sneyd; (2012) 'Properties of Codes With Two Homogeneous Weights'. Finite Fields and their Applications, 18 (4):711-727. Available Online [Details]
E. Byrne; (2011) 'On the Weight Distributions of Codes Over Finite Rings'. Advances in 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, 3 (1):45-53. Available Online [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. Available Online [DOI] [Details]
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]
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. Available Online [Details]
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):683-694. [Details]
E. Byrne; (2002) 'Decoding a Class of Lee Metric Codes Over a Galois Ring'. IEEE Transactions on Information Theory, 48 (4):966-975. [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 (5):565-584. [Details]
 

Conference Publications

E. Byrne, A. Ravagnani (2018) Matrix Codes with the Rank-Metric and Their Covering Radii The 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018) [Details]
E. Byrne, A. Ravagnani (2017) On the Rank-Metric Covering Radius International Workshop on Coding and Cryptography (WCC2017) , 18-SEP-17 - 22-SEP-17 Available Online [Details]
E. Byrne, I. Blanco-Chacon, I. Duusrma, J. Sheekey (2017) The Zeta Function of a Rank-Metric Code International Workshop on Coding and Cryptography (WCC2017) , 18-SEP-17 - 22-SEP-17 Available Online [Details]
E. Byrne (2017) Fundamental Operations on Rank Metric Codes International conference On Effective Methods in Algebraic Geometry (MEGA2017) , 12-JUN-17 - 16-JUN-17 Available Online [Details]
E. Byrne, I. Blanco-Chacon, I. Duursma, J. Sheekey (2017) Puncturing, Shortening and the Rank Metric Zeta Function Finite Fields and Their Applications (Fq13) , 04-JUN-17 - 10-JUN-17 Available Online [Details]
Eimear Byrne (2013) On Network Coding Bounds Proceedings of the 9th International Workshop on Coding and Cryptography (WCC2013) [Details]
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]
                           

Dissertations/Theses

E. Byrne; (2000) Decoding Alternant Codes Over a Galois Ring. Dissertations/Theses [Details]
                             

Working Paper

E. Byrne, A. Ravagnani (2018) Partition-Balanced Families of Codes and Asymptotic Enumeration in Coding Theory. arXiv.org: Working Paper Available Online [Details]
E. Byrne, A. Ravagnani (2018) AN ASSMUS-MATTSON THEOREM FOR RANK METRIC CODES. arxiv.org: Working Paper [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 Available Online [Details]
                                 

Research

Research Interests

Algebraic coding theory, codes over rings, codes and graphs, homogeneous weights, linear codes, two-weight codes, Z4 codes, network coding, finite rings & fields, Groebner bases, decoding algorithms, APN functions, algebra in communications, coding for wireless communications, index coding, rank metric codes, network coding

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
   

Teaching

Teaching Philosophy

 

Enhancement of Teaching

Review and Enhancement of Curriculum

Developing as a Teacher

Innovation & Leadership

Collaborators

Internal Collaborators

Marcus Greferath, Gary McGuire, Rod Gow, Jens Zumbraegel, Mark Flanagan, John Sheekey, Ivan Blanco-Chacon

External Collaborators

Mike O'Sullivan, Thomas Honold, Pat Fitzpatrick, Carl Bracken, Teo Mora, Joachim Rosenthal, Vitaly Skachek, Nadya Markin, Michael Kiermaier, Akiko Manada, Emanuel Popovici, Stefan Mirankovic, Jaume Pernas, Christine Kelley, Chris Monico, Alberto Ravagnani, Marco Calderini, Iwan Duursma