Marcus Greferath - researchr alias

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Viewing Publication 1 - 37 from 37

2024

Almost perfect autocorrelation sequences with small number of pauses for applications in magnetic resonanceEda Tekin, Oliver Wilhelm Gnilke, Ferruh Özbudak, Bernhard Blümich, Marcus Greferath. ccds, 16(1):109-127, January 2024. [doi]

2022

Bounds for Coding Theory over RingsNiklas Gassner, Marcus Greferath, Joachim Rosenthal, Violetta Weger. entropy, 24(10):1473, 2022. [doi]

List Decoding of Quaternary Codes in the Lee MetricMarcus Greferath, Jens Zumbrägel. isit 2022: 2333-2337 [doi]

2020

Linear codes over finite rings are trace codesYaqi Lu, Minjia Shi, Marcus Greferath, Patrick Solé. DM, 343(8):111919, 2020. [doi]

2019

Improved user-private information retrieval via finite geometryOliver W. Gnilke, Marcus Greferath, Camilla Hollanti, Guillermo Nuñez Ponasso, Padraig Ó Catháin, Eric Swartz. dcc, 87(2-3):665-677, 2019. [doi]

2018

2014

MacWilliams' Extension Theorem for bi-invariant weights over finite principal ideal ringsMarcus Greferath, Thomas Honold, Cathy Mc Fadden, Jay A. Wood, Jens Zumbrägel. JCT, 125:177-193, 2014. [doi]

Notes on the pseudoredundancyZihui Liu, Jens Zumbrägel, Marcus Greferath, Xin-Wen Wu. isit 2014: 2789-2793 [doi]

2013

Algebraic decoding of negacyclic codes over $${\mathbb Z_4}$$Eimear Byrne, Marcus Greferath, Jaume Pernas, Jens Zumbrägel. dcc, 66(1-3):3-16, 2013. [doi]

EditorialMarcus Greferath. amco, 7(1), 2013. [doi]

Characteristics of invariant weights related to code equivalence over ringsMarcus Greferath, Cathy Mc Fadden, Jens Zumbrägel. dcc, 66(1-3):145-156, 2013. [doi]

2012

On the algebraic representation of selected optimal non-linear binary codesMarcus Greferath, Jens Zumbrägel. isit 2012: 3115-3119 [doi]

2010

New bounds for codes over finite Frobenius ringsEimear Byrne, Marcus Greferath, Axel Kohnert, Vitaly Skachek. dcc, 57(2):169-179, 2010. [doi]

Generalized Frobenius extensions of finite rings and trace functionsMarcus Greferath, Alexandr Nechaev. itw 2010: 1-5 [doi]

2009

Linear-programming decoding of nonbinary linear codesMark F. Flanagan, Vitaly Skachek, Eimear Byrne, Marcus Greferath. TIT, 55(9):4134-4154, 2009. [doi]

An Introduction to Ring-Linear Coding TheoryMarcus Greferath. In Massimiliano Sala, Shojiro Sakata, Teo Mora, Carlo Traverso, Ludovic Perret, editors, Gröbner Bases, Coding, and Cryptography. pages 219-238, Springer, 2009. [doi]

On coloured constant composition designsMarcus Greferath, Ryan K. Therkelsen. DM, 309(8):2410-2416, 2009. [doi]

2008

Ring geometries, two-weight codes, and strongly regular graphsEimear Byrne, Marcus Greferath, Thomas Honold. dcc, 48(1):1-16, 2008. [doi]

Polytope representations for linear-programming decoding of non-binary linear codesVitaly Skachek, Mark F. Flanagan, Eimear Byrne, Marcus Greferath. isit 2008: 1508-1512 [doi]

2007

The linear programming bound for codes over finite Frobenius ringsEimear Byrne, Marcus Greferath, Michael E. O Sullivan. dcc, 42(3):289-301, 2007. [doi]

Errata for The linear programming bound for codes over finite Frobenius rings Eimear Byrne, Marcus Greferath, Michael E. O Sullivan. dcc, 45(2):269-270, 2007. [doi]

EditorialMarcus Greferath. amco, 1(1), 2007. [doi]

2005

On two doubly even self-dual binary codes of length 160 and minimum weight 24Marten van Dijk, Sebastian Egner, Marcus Greferath, Alfred Wassermann. TIT, 51(1):408-411, 2005. [doi]

2004

On bounds for codes over Frobenius rings under homogeneous weightsMarcus Greferath, Michael E. O Sullivan. DM, 289(1-3):11-24, 2004. [doi]

Construction of good LDPC codes using dilation matricesMarcus Greferath, Michael E. O'Sullivan, Roxana Smarandache. isit 2004: 237 [doi]

2002

On the Cardinality of Intersection Sets in Inversive PlanesMarcus Greferath, Cornelia Rößing. JCT, 100(1):181-188, 2002. [doi]

2001

A Z::8::-linear lift of the binary Golay code and a nonlinear Binary (96, 2:::37:::, 24)-codeIwan M. Duursma, Marcus Greferath, Simon Litsyn, Stefan E. Schmidt. TIT, 47(4):1596-1598, 2001.

2000

On the Optimal ::Integer 4:: Codes of Type II and Length 16Iwan M. Duursma, Marcus Greferath, Stefan E. Schmidt. JCT, 92(1):77-82, 2000. [doi]

Finite-Ring Combinatorics and MacWilliams Equivalence TheoremMarcus Greferath, Stefan E. Schmidt. JCT, 92(1):17-28, 2000. [doi]

1999

Linear Codes and Rings of MatricesMarcus Greferath, Stefan E. Schmidt. AAECC 1999: 160-169

Gray isometries for finite chain rings and a nonlinear ternary (36, 3:::12:::, 15) codeMarcus Greferath, Stefan E. Schmidt. TIT, 45(7):2522-2524, 1999.

On Z::4::- and Z::9::-linear lifts of the Golay codesMarcus Greferath, Emanuele Viterbo. TIT, 45(7):2524-2527, 1999.

1998

On the Extended Error-Correcting Capabilities of the Quaternary Preparata CodesMarcus Greferath, Ute Vellbinger. TIT, 44(5):2018-2019, 1998.

Efficient Decoding of Z::p:::k:::::-Linear CodesMarcus Greferath, Ute Vellbinger. TIT, 44(3):1288-1291, 1998.

1997

Cyclic codes over finite ringsMarcus Greferath. DM, 177(1-3):273-277, 1997. [doi]

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