|
 |
Professional Preparation:
Appointments:
|
|
| Sponsor : Science Foundation Ireland (SFI) Title : IEEE Information Theory Workshop ITW 2010 Dublin Start Date / End Date : 01-APR-10 / 30-SEP-10 |
| Sponsor : Science Foundation Ireland (SFI) Title : Workshop on Codes and Systems Start Date / End Date : 01-APR-09 / 30-SEP-09 |
| Sponsor : Science Foundation Ireland (SFI) Title : Public-Key Cryptography Based on Finite Simple Semirings Start Date / End Date : 01-JAN-09 / 31-DEC-12 |
| M. Greferath; (2003) 'Golay Codes' In: J. Proakis (eds). The Wiley Encyclopedia of Telecommunications. *: Wiley. [Details] |
| M. Greferath; (2001) 'Zur Rolle der Ringe und Moduln in der Algebraischen Codierungstheorie und Kryptologie' In: Habilitationsschrift. Mitt. Math. Sem. Giessen 245. *: *. [Details] |
| M. Greferath, S. E. Schmidt; (1998) 'Projective Lattice Geometries' In: General Lattice Theory. *: Birkhaeuser. [Details] |
| U. Brehm, M. Greferath, S. E. Schmidt; (1995) 'Projective Geometry on Modular Lattices' In: F. Buekenhout (eds). Handbook of Incidence Geometry. North-Holland, Amsterdam: *. [Details] |
| M. Greferath; (1994) 'Zur Strukturtheorie der projektiven Verbandsgeometrie' In: Dissertation. Mitt. Math. Sem. *: *. [Details] |
| Eimear Byrne, Marcus Greferath, and Michael E. O'Sullivan; (2007) 'The Linear Programming bound for Codes over Finite Frobenius Rings'. Designs, Codes and Cryptography, (42):289-301. [Details] |
| Eimear Byrne, Marcus Greferath, and Thomas Honold; (2007) 'Ring Geometries, Two-Weight Codes, and Strongly Regular Graphs'. Designs, Codes and Cryptography, . [Details] |
| Marcus Greferath, Gary McGuire, and Michael O'Sullivan; (2006) 'On Plotkin-Optimals Codes over Finite Frobenius Rings'. Journal of Algebra and its Applications, (5):799-815. [Details] |
| Marcus Greferath, Bernhard Bluemich, W. M. Griffith, and Gina L. Hoatson; (1993) 'Saturation in Deuteron Hadamard NMR Spectroscopy of Solids'. Magnetic Resonance Imaging, 101 :73-80. [Details] |
| M. van Dijk, S. Egner, M. Greferath and A. Wassermann; (2005) 'On two doubly even self-dual binary codes of length 160 and minimum weight 24'. IEEE TRANSACTIONS ON INFORMATION THEORY, 51 :408-411. [Details] |
| Greferath M., O'Sullivan M.E.; (2004) 'On bounds for codes over Frobenius rings under Homogeneous Weights'. Discrete Mathematics, 289 (1-3):11-24. [Details] | |||||||||
| M. Greferath; (2004) 'Finite Quasi-Frobenius Modules and Linear Codes'. LINEAR ALGEBRA AND ITS APPLICATIONS, 3 :247-272. [Details] | |||||||||
| M. Greferath; (2002) 'Orthogonality Matrices for Modules over Finite Frobenius Rings and MacWilliams' Equivalence Theorem'. Finite Fields Appl, 8 (3):323-331. [Details] | |||||||||
| M. Greferath, C. Roessing; (2002) 'On the Cardinality of Intersection Sets in Inversive Planes'. J. Comb. Theory (A), 100 :181-188. [Details] | |||||||||
| I. M. Duursma, M. Greferath, S. Litsyn, S. E. Schmidt,; (2001) 'A Z8-linear lift of the binary Golay Code and a non-linear binary (96,2^37,24)-Code'. IEEE TRANSACTIONS ON INFORMATION THEORY, 47 :1596-1598. [Details] | |||||||||
| I. M. Duursma, M. Greferath and S. E. Schmidt; (2000) 'On the Optimal Z4-Codes of Type II and length 16'. J. Combin. Theory Ser. A, 92 (1):77-82. [Details] | |||||||||
| M. Greferath, S. E. Schmidt; (2000) 'Finite-Ring Combinatorics and MacWilliams's Equivalence Theorem'. J. Combin. Theory Ser. A, 92 (1):17-28. [Details] | |||||||||
| M. Greferath, E. Viterbo,; (1999) 'On Z4 and Z9-linear Lifts of the Golay Codes'. IEEE TRANSACTIONS ON INFORMATION THEORY, 45 :2524-2527. [Details] | |||||||||
| M. Greferath, S. E. Schmidt; (1999) 'Linear Codes and Rings of Matrices. Applied Algebra, Algebraic Algorithms and Error Correcting Codes'. LECTURE NOTES IN COMPUTER SCIENCE, :190-169. [Details] | |||||||||
| M. Greferath, S. E. Schmidt; (1999) 'Gray Isometries for Finite Chain Rings'. IEEE TRANSACTIONS ON INFORMATION THEORY, 45 :2522-2524. [Details] | |||||||||
| M. Greferath, U. Vellbinger; (1998) 'On the Extended Error-Correcting Capabilities of the Quaternary Preparata Codes'. IEEE TRANSACTIONS ON INFORMATION THEORY, 44 :2018-2019. [Details] | |||||||||
| M. Greferath, U. Vellbinger; (1998) 'Efficient Decoding of Z_(p^k)-linear Codes'. IEEE TRANSACTIONS ON INFORMATION THEORY, 44 :1288-1291. [Details] | |||||||||
| M. Greferath; (1997) 'Cyclic Codes over Finite Rings'. DISCRETE MATHEMATICS, 177 :273-277. [Details] | |||||||||
| M. Greferath; (1996) 'A Geometrical Approach to Free Left Modules over Right Bezout Domains'. Geom. Dedicata, 60 :219-224. [Details] | |||||||||
| M. Greferath, S. E. Schmidt; (1994) 'On Point-Irreducible Projective Geometries'. J. Geometry, 50 :73-83. [Details] | |||||||||
| M. Greferath, S. E. Schmidt,; (1994) 'On Stable Geometries'. Geom. Dedicata, 51 :181-199. [Details] | |||||||||
| M. Greferath; (1993) 'Global-Affine Morphisms of ProjectiveLattice Geometries'. Resultate Math, 24 :76-83. [Details] | |||||||||
| P. Bluemler, M. Greferath, B. Bluemich, H. W. Spiess; (1993) 'NMR Imaging of Objects Containing Similar Substructures'. J. Magn. Reson. A, 103 :142-150. [Details] | |||||||||
| M. Greferath, S. E. Schmidt; (1992) 'A Unified Approach to Projective Lattice Geometries'. Geom. Dedicata, 43 :243-264. [Details] | |||||||||
| M. Greferath, S. E. Schmidt; (1992) 'On Barbilian Spaces in Projective Lattice Geometries'. Geom. Dedicata, 43 :337-349. [Details] | |||||||||
| M. Greferath; (1991) 'Zur Hyperebenenalgebraisierung in desarguesschen projektiven Verbandsgeometrien'. J. Geometry, 42 :100-108. [Details] | |||||||||
| Hide | |||||||||
| Marcus Greferath and Thomas Honold; (2006) Monomial Extension of Isometries between Codes over Z_m Proceedings of the ACCT-10 Zvenigorod, Russia, [Details] |
| Marcus Greferath and Emanuele Viterbo; (1999) Construction of Good Collision Resistent Signal Sets Proceedings of the Workshop on Coding and Cryptography , pp.213-224 [Details] |
| M. Greferath, S. E. Schmidt; (1998) Secret Sharing on Partially Ordered Sets Proceedings of the ISIT 1998 MIT Boston, , pp.299-299 [Details] |
| M. Greferath, S. E. Schmidt; (1999) Linear Codes and Rings of Matrices Proceedings of AAECC 13 Hawaii, [Details] |
| M. Greferath; (2000) On Artinian and Noetherian Projective Lattice Geometries Algebra and its applications (Athens, OH) , pp.241-246 [Details] |
| I. M. Duursma, M. Greferath, S. Litsyn, S. E. Schmidt; (2001) A Z9-Linear Code Inducing a Ternary (72,325,24)-Code Proceedings of the OC'2001 Slantchev Briag, Bulgaria, [Details] | |||||||||
| M. O'Sullivan, M. Greferath, R. Smarandache; (2002) Analysis of Iterative Decoding Algorithms Proceedings of 15th International Symposium on the Mathematical Theory of Networks and Systems Notre Dame, IN, [Details] | |||||||||
| M. O'Sullivan, M. Greferath and R. Smarandache; (2002) Construction of LDPC Codes from Affine Permutation Matrices Proceedings of the Allerton Conference 2002 Urbana-Champaign (IL), , pp.1159-1167 [Details] | |||||||||
| M. van Dijk, S. Egner, M. Greferath and A. Wassermann; (2003) On Binary [160,80,24]-codes Proceedings of the ISIT 2003 Yokohama, Japan, [Details] | |||||||||
| M. Greferath, M. O�Sullivan and R. Smarandache; (2004) Construction of Good LDPC Codes using Dilation Matrices Proceedings of the ISIT 2004 Chicago, [Details] | |||||||||
| M. Greferath and S. E. Schmidt; (2003) Multi-Secret Sharing Schemes Based on Finite Geometry over Rings and Modules Recent Advances in Geometry and Topology, 6th International Workshop on Differential Geometry and Topology and the third German-Romanian Seminar on Geometry Cluj-Napoca, , pp.187-194 [Details] | |||||||||
| M. Greferath and S. Lopez-Permouth; (2004) On the Role of Rings and Modules in Algebraic Coding Theory Proceedings of the Ubatuba Conference on Groups, Rings and Group Rings Ubatuba, Brazil, [Details] | |||||||||
| M. Greferath and T. Honold; (2005) On weights allowing for MacWilliams� equivalence theorem Proceedings of OC2005 Pamporovo, Bulgaria, , pp.182-189 [Details] | |||||||||
| E. Byrne, M. Greferath and T. Honold; (2005) Two-weight codes over finite Frobenius rings and strongly regular graphs Proceedings of OC 2005 Pamporovo, Bulgaria, , pp.64-70 [Details] | |||||||||
| Hide | |||||||||
| Year: 2008. Title: Public-Key Cryptography based on Finite Simple Semi-Rings |
| Patent P84685IE00 : An encoding scheme, and a decoding scheme using a seris of LDPC codes based on finite inversive spaces. |
| Employer: San Diego State University, San Diego, CA Position: Associate Professor |
| Employer: San Diego State University, San Diego, CA Position: Assistant Professor |
| Employer: Duisburg University (Germany) Position: Hochschuldozent |
| Employer: Ohio University (Athens, OH) Position: Visiting Assistant Professor |
| Year 2000 Institution: University of Augsburg Qualification: HABILITATION Subject: |
| Year 1993 Institution: Johannes Gutenberg - University of Mainz (Germany) Qualification: Dr rer nat Subject: Mathematics |
| Year 1990 Institution: Johannes Gutenberg - University of Mainz (Germany) Qualification: Diplom Subject: Mathematics |
| German: |
| English: |
| Latin: |
| French: |
| Client: : AT&T Labs Research, New Jersey, USA |
| Editor-in-Chief of the Journal: Advances in Mathematics of Communications; for more information see http://www.aimsciences.org |
| I am Editor-In-Chief of the Journal Advances in Mathematics of Communications which celebrated its inaugural issue in February 2007. Since then 20 issues have appeared: The editorial board of this new journal consists of internationally renowned scholars listed in the following: Alexander Barg Daniel Bernstein Albrecht Beutelspacher Ian Blake Eimear Byrne Yvo Desmedt Cunsheng Ding Jintai Ding Steven Dougherty Iwan Duursma Veerle Fack Patrick Fitzpatrick Heide Gluesing-Luerssen Marcus Greferath (EIC) Tom Hoeholdt Thomas Honold Andrew Klapper Neal Koblitz Ivan Landjev Tanja Lange Simon Litsyn Jianya Liu (EIC) Sergio Lopez-Permouth Michael O'Sullivan Joachim Rosenthal Renate Scheidler Stefan Schmidt Hovav Shacham Neil Sloane Patrick Sole Andreas Stein Douglas Stinson Mario Szegedy Edlyn Teske Henk van Tilborg Xiaoyun Wang Judy Walker Harold Ward Gilles Zemor |
| Eimear Byrne, Gary McGuire, Cornelia Roessing, Mark Flanagan, Vitaly Skachek. |
| Stefan E. Schmidt, Ute Vellbinger, Emanuele Viterbo, Iwan Duursma, Roxana Smarandache, Michael E. O'Sullivan, Marten van Dijk, Alfred Wassermann, Thomas Honold, Sergio Lopez-Permouth, Alexander Nechaev, Robert Wisbauer, Simon Litsyn, Ryan Therkelsen, Paul E. Wright, Sebastian Egner, Ulrich Brehm, Bernhard Bluemich, Peter Bluemler, Hans-Wolfgang Spiess, Gina Hoatson, W. Matthew Griffith. |
| My teaching interests range from Linear Algebra, Modern Algebra, Calculus, Probablity Theory to Combinatorics and Graph Theory, and Coding Theory. |
| Dr. Vitaly Skachek (Post-Doctoral Fellow at the Claude-Shannon Institute for Discrete Mathematics, Coding and Cryptography) |
| Oliver Gnilke, Doctor of Philosophy (PhD) - Thesis Supervisor |
| Cathy Mc Fadden, Doctor of Philosophy (PhD) - Thesis Supervisor |
| Andreas Kendziorra, Doctor of Philosophy (PhD) - Thesis Supervisor |
| 201100 MATH10220 Mathematics: Found. of Math. for Com. Sc II |
| 201100 MATH20150 Mathematics: Graphs and Networks |
| 201100 MST20010 Mathematical Studies: Algebraic Structures |
| 201100 MATH10290 Mathematics: Linear Algebra for Science |
| 201100 MATH10090 Mathematics: Matrices & Vectors |
| 201100 MATH40300 Mathematics: Galois Theory | |||||||||
| 201100 MATH30180 Mathematics: An Intro to Coding Theory | |||||||||
| 201000 MATH30180 Mathematics: An Intro to Coding Theory | |||||||||
| 201000 MATH20150 Mathematics: Graphs and Networks | |||||||||
| 201000 MATH10090 Mathematics: Matrices & Vectors | |||||||||
| 201000 MATH40300 Mathematics: Galois Theory | |||||||||
| 201000 MATH10220 Mathematics: Found. of Math. for Com. Sc II | |||||||||
| 201000 MST20010 Mathematical Studies: Algebraic Structures | |||||||||
| 200900 MATH10090 Mathematics: Matrices & Vectors | |||||||||
| 200900 MST20010 Mathematical Studies: Algebraic Structures | |||||||||
| 200900 MATH30180 Mathematics: An Intro to Coding Theory | |||||||||
| 200800 MATH10090 Mathematics: Matrices & Vectors | |||||||||
| 200700 MATH20150 Mathematics: Graphs and Networks | |||||||||
| 200700 MATH10090 Mathematics: Matrices & Vectors | |||||||||
| 200600 MATH20150 Mathematics: Graphs and Networks | |||||||||
| 200600 MATH10090 Mathematics: Matrices & Vectors | |||||||||
| Hide | |||||||||
