Marcus Greferath

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 16

Top Topics

Reed Solomon Codes

Error Correction

Top Venues

Des. Codes Cryptogr.

J. Comb. Theory, Ser. A

Publications

Negin Karimi, Ahmad Yousefian Darani, Marcus Greferath
Correcting adversarial errors with generalized regenerating codes. Adv. Math. Commun. 18 (1) (2024)
Eda Tekin, Oliver Wilhelm Gnilke, Ferruh Özbudak, Bernhard Blümich, Marcus Greferath
Almost perfect autocorrelation sequences with small number of pauses for applications in magnetic resonance. Cryptogr. Commun. 16 (1) (2024)
Marcus Greferath, Cornelia Rößing
Group testing via residuation and partial geometries. CoRR (2022)
Marcus Greferath, Jens Zumbrägel
List Decoding of Quaternary Codes in the Lee Metric. ISIT (2022)
Marcus Greferath, Jens Zumbrägel
List Decoding of Quaternary Codes in the Lee Metric. CoRR (2022)
Niklas Gassner, Marcus Greferath, Joachim Rosenthal, Violetta Weger
Bounds for Coding Theory over Rings. Entropy 24 (10) (2022)
Niklas Gassner, Marcus Greferath, Joachim Rosenthal, Violetta Weger
On Bounds for Ring-Based Coding Theory. CoRR (2021)
Yaqi Lu, Minjia Shi, Marcus Greferath, Patrick Solé
Linear codes over finite rings are trace codes. Discret. Math. 343 (8) (2020)
Ferdinand Blomqvist, Oliver W. Gnilke, Marcus Greferath
On Decoding of Generalized Concatenated Codes and Matrix-Product Codes. CoRR (2020)
Oliver W. Gnilke, Marcus Greferath, Camilla Hollanti, Guillermo Nuñez Ponasso, Padraig Ó Catháin, Eric Swartz
Improved user-private information retrieval via finite geometry. Des. Codes Cryptogr. 87 (2-3) (2019)
Oliver Wilhelm Gnilke, Marcus Greferath, Mario-Osvin Pavcevic
Mosaics of combinatorial designs. Des. Codes Cryptogr. 86 (1) (2018)
Ferdinand Blomqvist, Marcus Greferath
The Double-Plane Algorithm: A simple algorithm for the closest vector problem. ISITA (2018)
Simon R. Blackburn, Marcus Greferath, Camilla Hollanti, Mario-Osvin Pavcevic, Joachim Rosenthal, Leo Storme, Ángeles Vázquez-Castro, Alfred Wassermann
Preface to the special issue on network coding and designs. Des. Codes Cryptogr. 86 (2) (2018)
Oliver W. Gnilke, Marcus Greferath, Camilla Hollanti, Guillermo Nuñez Ponasso, Padraig Ó Catháin, Eric Swartz
Improved User-Private Information Retrieval via Finite Geometry. CoRR (2017)
Oliver W. Gnilke, Marcus Greferath, Thomas Honold, Jay A. Wood, Jens Zumbrägel
The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules. CoRR (2017)
Oliver W. Gnilke, Marcus Greferath, Mario-Osvin Pavcevic
Mosaics of Combinatorial Designs. CoRR (2015)
Zihui Liu, Jens Zumbrägel, Marcus Greferath, Xin-Wen Wu
New Results on the Pseudoredundancy. CoRR (2014)
Marcus Greferath, Thomas Honold, Cathy Mc Fadden, Jay A. Wood, Jens Zumbrägel
MacWilliams' Extension Theorem for bi-invariant weights over finite principal ideal rings. J. Comb. Theory, Ser. A 125 (2014)
Zihui Liu, Jens Zumbrägel, Marcus Greferath, Xin-Wen Wu
Notes on the pseudoredundancy. ISIT (2014)
Eimear Byrne, Marcus Greferath, Jaume Pernas, Jens Zumbrägel
Algebraic decoding of negacyclic codes over $${\mathbb Z_4}$$. Des. Codes Cryptogr. 66 (1-3) (2013)
Marcus Greferath, Cathy Mc Fadden, Jens Zumbrägel
Characteristics of invariant weights related to code equivalence over rings. Des. Codes Cryptogr. 66 (1-3) (2013)
Marcus Greferath, Thomas Honold, Cathy Mc Fadden, Jay A. Wood, Jens Zumbrägel
MacWilliams' Extension Theorem for Bi-Invariant Weights over Finite Principal Ideal Rings. CoRR (2013)
Marcus Greferath
Editorial. Adv. Math. Commun. 7 (1) (2013)
Marcus Greferath, Jens Zumbrägel
On the algebraic representation of selected optimal non-linear binary codes. ISIT (2012)
Marcus Greferath, Jens Zumbrägel
On the algebraic representation of certain optimal non-linear binary codes CoRR (2011)
Marcus Greferath, Cathy Mc Fadden, Jens Zumbrägel
Characteristics of Invariant Weights Related to Code Equivalence over Rings CoRR (2011)
Eimear Byrne, Marcus Greferath, Jaume Pernas, Jens Zumbrägel
CoRR (2011)
Marcus Greferath, Alexandr Nechaev
Generalized Frobenius extensions of finite rings and trace functions. ITW (2010)
Eimear Byrne, Marcus Greferath, Axel Kohnert, Vitaly Skachek
New bounds for codes over finite Frobenius rings. Des. Codes Cryptogr. 57 (2) (2010)
Marcus Greferath, Ryan K. Therkelsen
On coloured constant composition designs. Discret. Math. 309 (8) (2009)
Mark F. Flanagan, Vitaly Skachek, Eimear Byrne, Marcus Greferath
Linear-programming decoding of nonbinary linear codes. IEEE Trans. Inf. Theory 55 (9) (2009)
Eimear Byrne, Marcus Greferath, Thomas Honold
Ring geometries, two-weight codes, and strongly regular graphs. Des. Codes Cryptogr. 48 (1) (2008)
Vitaly Skachek, Mark F. Flanagan, Eimear Byrne, Marcus Greferath
Polytope representations for linear-programming decoding of non-binary linear codes. ISIT (2008)
Mark F. Flanagan, Vitaly Skachek, Eimear Byrne, Marcus Greferath
Linear-Programming Decoding of Nonbinary Linear Codes CoRR (2008)
Eimear Byrne, Marcus Greferath, Michael E. O'Sullivan
The linear programming bound for codes over finite Frobenius rings. Des. Codes Cryptogr. 42 (3) (2007)
Marcus Greferath
Editorial. Adv. Math. Commun. 1 (1) (2007)
Vitaly Skachek, Mark F. Flanagan, Eimear Byrne, Marcus Greferath
Polytope Representations for Linear-Programming Decoding of Non-Binary Linear Codes CoRR (2007)
Mark F. Flanagan, Vitaly Skachek, Eimear Byrne, Marcus Greferath
Linear-programming Decoding of Non-binary Linear Codes CoRR (2007)
Eimear Byrne, Marcus Greferath, Michael E. O'Sullivan
Errata for "The linear programming bound for codes over finite Frobenius rings". Des. Codes Cryptogr. 45 (2) (2007)
Marten van Dijk, Sebastian Egner, Marcus Greferath, Alfred Wassermann
On two doubly even self-dual binary codes of length 160 and minimum weight 24. IEEE Trans. Inf. Theory 51 (1) (2005)
Marcus Greferath, Michael E. O'Sullivan, Roxana Smarandache
Construction of good LDPC codes using dilation matrices. ISIT (2004)
Marcus Greferath, Michael E. O'Sullivan
On bounds for codes over Frobenius rings under homogeneous weights. Discret. Math. 289 (1-3) (2004)
Marcus Greferath, Cornelia Rößing
On the Cardinality of Intersection Sets in Inversive Planes. J. Comb. Theory, Ser. A 100 (1) (2002)
Iwan M. Duursma, Marcus Greferath, Simon Litsyn, Stefan E. Schmidt
, 24)-code. IEEE Trans. Inf. Theory 47 (4) (2001)
Marcus Greferath, Stefan E. Schmidt
Finite-Ring Combinatorics and MacWilliams' Equivalence Theorem. J. Comb. Theory, Ser. A 92 (1) (2000)
Iwan M. Duursma, Marcus Greferath, Stefan E. Schmidt
Codes of Type II and Length 16. J. Comb. Theory, Ser. A 92 (1) (2000)
Marcus Greferath, Emanuele Viterbo
-linear lifts of the Golay codes. IEEE Trans. Inf. Theory 45 (7) (1999)
Marcus Greferath, Stefan E. Schmidt
, 15) code. IEEE Trans. Inf. Theory 45 (7) (1999)
Marcus Greferath, Stefan E. Schmidt
Linear Codes and Rings of Matrices. AAECC (1999)
Marcus Greferath, Ute Vellbinger
On the Extended Error-Correcting Capabilities of the Quaternary Preparata Codes. IEEE Trans. Inf. Theory 44 (5) (1998)
Marcus Greferath, Ute Vellbinger
-Linear Codes. IEEE Trans. Inf. Theory 44 (3) (1998)
Marcus Greferath
Cyclic codes over finite rings. Discret. Math. 177 (1-3) (1997)