Marcus Greferath

Peer-reviewed scientific articles

Journal article-refereed, Original research

Mosaics of combinatorial designs

Gnilke, Oliver Wilhelm; Greferath, Marcus; Pavčević, Mario Osvin

2017 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

MacWilliams' extension theorem for bi-invariant weights over finite principal ideal rings

Greferath, Marcus; Honold, Thomas; Mc Fadden, Cathy; Wood, Jay A.; Zumbrägel, Jens

2014 in JOURNAL OF COMBINATORIAL THEORY SERIES A (Academic Press Inc.)

ISSN: 0097-3165

A new RF tagging pulse based on the Frank poly-phase perfect sequence

Laustsen, Christoffer; Greferath, Marcus; Ringgaard, Steffen; Nielsen, Niels Chr.; Ardenkjaer-Larsen, Jan H.

2014 in JOURNAL OF MAGNETIC RESONANCE (ACADEMIC PRESS INC ELSEVIER SCIENCE)

ISSN: 1090-7807

Algebraic decoding of negacyclic codes over $Bbb Z_4$

Byrne, Eimear; Greferath, Marcus; Pernas, Jaume; Zumbrägel, Jens

2013 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

Characteristics of invariant weights related to code equivalence over rings

Greferath, Marcus; Mc Fadden, Cathy; Zumbrägel, Jens

2013 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

New bounds for codes over finite Frobenius rings

Byrne, Eimear; Greferath, Marcus; Kohnert, Axel; Skachek, Vitaly

2010 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

NMR with excitation modulated by Frank sequences

Bluemich, Bernhard; Gong, Qingxia; Byrne, Eimear; Greferath, Marcus

2009 in JOURNAL OF MAGNETIC RESONANCE (ACADEMIC PRESS INC ELSEVIER SCIENCE)

ISSN: 1090-7807

Linear-Programming Decoding of Nonbinary Linear Codes

Flanagan, Mark F.; Skachek, Vitaly; Byrne, Eimear; Greferath, Marcus

2009 in IEEE Transactions on information theory (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC)

ISSN: 0018-9448

On coloured constant composition designs

Greferath, Marcus; Therkelsen, Ryan K.

2009 in Discrete Mathematics (Elsevier)

ISSN: 0012-365X

Ring geometries, two-weight codes, and strongly regular graphs

Byrne, Eimear; Greferath, Marcus; Honold, Thomas

2008 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

Errata for “The linear programming bound for codes over finite Frobenius rings”

Byrne, Eimear; Greferath, Marcus; O'Sullivan, Michael E.

2007 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

The linear programming bound for codes over finite Frobenius rings

Byrne, Eimear; Greferath, Marcus; O'Sullivan, Michael E.

2007 in DESIGNS CODES AND CRYPTOGRAPHY (Springer Netherlands)

ISSN: 0925-1022

On Plotkin-optimal codes over finite Frobenius rings

Greferath, Marcus; McGuire, Gary; O'Sullivan, Michael E.

2006 in JOURNAL OF ALGEBRA AND ITS APPLICATIONS (WORLD SCIENTIFIC PUBL CO PTE LTD)

ISSN: 0219-4988

On two doubly even self-dual binary codes of length 160 and minimum weight 24

van Dijk, Marten; Egner, Sebastian; Greferath, Marcus; Wassermann, Alfred

2005 in IEEE Transactions on information theory (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC)

ISSN: 0018-9448

On bounds for codes over Frobenius rings under homogeneous weights

Greferath, Marcus; O'Sullivan, Michael E.

2004 in Discrete Mathematics (Elsevier)

ISSN: 0012-365X

Finite quasi-Frobenius modules and linear codes

Greferath, Marcus; Nechaev, Alexandr; Wisbauer, Robert

2004 in JOURNAL OF ALGEBRA AND ITS APPLICATIONS (WORLD SCIENTIFIC PUBL CO PTE LTD)

ISSN: 0219-4988

On the cardinality of intersection sets in inversive planes

Greferath, Marcus; Rößing, Cornelia

2002 in JOURNAL OF COMBINATORIAL THEORY SERIES A (Academic Press Inc.)

ISSN: 0097-3165

Orthogonality matrices for modules over finite Frobenius rings and MacWilliams' equivalence theorem

Greferath, Marcus

2002 in FINITE FIELDS AND THEIR APPLICATIONS (Academic Press Inc.)

ISSN: 1071-5797

A Z8-linear lift of the binary Golay code and a nonlinear binary (96, 237, 24)-code

Duursma, IM; Greferath, M; Litsyn, SN; Schmidt, SE

2001 in IEEE Transactions on information theory (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC)

ISSN: 0018-9448

Zur Rolle der Ringe und Moduln in der algebraischen Codierungstheorie und Kryptologie

Greferath, Marcus

2001 in Mathematischen Seminar Giessen. Mitteilungen (Mathematisches Seminar Giessen)

ISSN: 0373-8221

Finite-Ring Combinatorics and MacWilliams' Equivalence Theorem

Greferath, M.; Schmidt, S. E.

2000 in JOURNAL OF COMBINATORIAL THEORY SERIES A (Academic Press Inc.)

ISSN: 0097-3165

On Z/sub 4/- and Z/sub 9/-linear lifts of the Golay codes

Greferath, M; Viterbo, E

1999 in IEEE Transactions on information theory (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC)

ISSN: 0018-9448

On the extended error-correcting capabilities of the Quaternary Preparata codes

Greferath, M; Vellbinger, U

1998 in IEEE Transactions on information theory (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC)

ISSN: 0018-9448

Efficient decoding of Z/sub p/k-linear codes

Greferath, Marcus; Vellbinger, Ute

1998 in IEEE Transactions on information theory (IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC)

ISSN: 0018-9448

Cyclic codes over finite rings

Shannon, A.G.; Greferath, Marcus

1997 in Discrete Mathematics (Elsevier)

ISSN: 0012-365X

A geometric approach to free left modules over right Bezout domains

Greferath, Marcus

1996 in GEOMETRIAE DEDICATA (SPRINGER)

ISSN: 0046-5755

On point-irreducible projective lattice geometries

Greferath, Marcus; Schmidt, Stefan E.

1994 in JOURNAL OF GEOMETRY (Birkhauser Verlag Basel)

ISSN: 0047-2468

On stable geometries

Greferath, Marcus; Schmidt, Stefan E.

1994 in GEOMETRIAE DEDICATA (SPRINGER)

ISSN: 0046-5755

Zur Strukturtheorie der projektiven Verbandsgeometrie

Greferath, Marcus

1994 in Mathematischen Seminar Giessen. Mitteilungen (Mathematisches Seminar Giessen)

ISSN: 0373-8221

Global-Affine Morphisms of Projective Lattice Geometries

Greferath, Marcus

1993 in RESULTS IN MATHEMATICS (Birkhauser Verlag Basel)

ISSN: 1422-6383

A unified approach to projective lattice geometries

Greferath, Marcus; Schmidt, Stefan E.

1992 in GEOMETRIAE DEDICATA (SPRINGER)

ISSN: 0046-5755

On Barbilian spaces in projective lattice geometries

Greferath, Marcus; Schmidt, Stefan E.

1992 in GEOMETRIAE DEDICATA (SPRINGER)

ISSN: 0046-5755

Conference proceedings

Notes on the Pseudoredundancy

Liu, Zihui; Zumbraegel, Jens; Greferath, Marcus; Wu, Xin-Wen

2014 in IEEE International Symposium on Information Theory (IEEE)

ISBN: 978-1-4799-5187-1

ISSN: 2157-8095

On the algebraic representation of selected optimal non-linear binary codes

Greferath, Marcus; Zumbraegel, Jens

2012 in Information Theory Proceedings (ISIT) (IEEE)

ISBN: 978-1-4673-2580-6

ISSN: 2157-8095

Generalized Frobenius Extensions of Finite Rings and Trace Functions

Greferath, Marcus; Nechaev, Alexandr

2010

ISBN: 978-1-4244-8262-7

Moving NMR

Bluemich, Bernhard; Casanova, Federico; Danieli, Ernesto; Gong, Qingxia; Greferath, Marcus; Haber, Agnes; Kolz, Juergen; Perlo, Juan

2008 in AIP Conference Proceedings (AMER INST PHYSICS)

ISBN: 978-0-7354-0612-4

ISSN: 0094-243X

Polytope Representations for Linear-Programming Decoding of Non-Binary Linear Codes

Skachek, Vitaly; Flanagan, Mark F.; Byrne, Eimear; Greferath, Marcus

2008 in IEEE International Symposium on Information Theory. Proceedings (IEEE)

ISBN: 978-1-4244-2256-2

ISSN: 2157-8095

Construction of good LDPC codes using dilation matrices

Greferath, M; O'Sullivan, ME; Smarandache, R

2004

ISBN: 0-7803-8280-3

On binary linear [160,80,24] codes

van Dijk, M; Egner, S; Greferath, M; Wassermann, A

2003

ISBN: 0-7803-7728-1

Patents and invention disclosures

Patent

MAGNETIC RESONANCE METHOD USING A PHASE-MODULATED PULSE TRAIN WITH A CONSTANT SMALL FLIP ANGLE

BLUEMICH, BERNHARD; GREFERATH, MARCUS; BYRNE, EIMEAR; GONG, QINGXIA; BLÜMICH, BERNHARD

2011

ENCODING SCHEME, AND A DECODING SCHEME USING A SERIES OF LDPC CODES BASED ON FINITE INVERSIVE SPACES

GREFERATH, MARCUS; ROESSING, CORNELIA; FLANAGAN, MARK

2010

On the role of rings and modules in algebraic coding theory

Greferath, Marcus; López-Permouth, Sergio R.

2006 in Lect. Notes Pure Appl. Math. (Chapman Hall/CRC, Boca Raton, FL)

ISBN: 978-1-58488-581-8

Multi-secret sharing schemes based on finite geometry over rings and modules

Greferath, Marcus; Schmidt, Stefan E.

2004

ISBN: 9736102777

On Artinian and Noetherian projective lattice geometries

Greferath, Marcus

2000 in Contemp. Math. (Amer. Math. Soc., Providence, RI)

ISBN: 978-0-8218-1950-0

Linear codes and rings of matrices

Greferath, M.; Schmidt, S. E.

1999 in Lecture Notes in Comput. Sci. (Springer Berlin)

ISBN: 978-3-540-66723-0

Projective geometry on modular lattices

Brehm, Ulrich; Greferath, Marcus; Schmidt, Stefan E.

1995

ISBN: 978-0-444-88355-1