Projekte: Konstruktive Methoden in der algebraischen Codierungstheorie für lineare Codes über endlichen Kettenringen

Kiermaier, Michael:
Codes from translation schemes on Galois rings of characteristic 4.
In: Electronic Notes in Discrete Mathematics. Bd. 40 (2013) . - S. 175-180.
DOI: https://doi.org/10.1016/j.endm.2013.05.032

Kiermaier, Michael ; Zwanzger, Johannes:
New ring-linear codes from dualization in projective Hjelmslev geometries.
In: Designs, Codes and Cryptography. Bd. 66 (2013) Heft 1–3 . - S. 39-55.
DOI: https://doi.org/10.1007/s10623-012-9650-1

Kiermaier, Michael ; Landjev, Ivan:
Designs in projective Hjelmslev spaces.
In: Lavrauw, Michel (Hrsg.): Theory and Applications of Finite Fields. - Providence, RI : American Mathematical Society, 2012 . - S. 111-121 . - (Contemporary Mathematics ; 579 )
DOI: https://doi.org/10.1090/conm/579/11524

Kiermaier, Michael:
Geometrische Konstruktionen linearer Codes über Galois-Ringen der Charakteristik 4 von hoher homogener Minimaldistanz.
Bayreuth , 2012 . - IV, 95 S.
( Dissertation, 2012 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Honold, Thomas ; Kiermaier, Michael:
The maximal size of 6- and 7-arcs in projective Hjelmslev planes over chain rings of order 9.
In: Science China Mathematics. Bd. 55 (2012) Heft 1 . - S. 73-92.
DOI: https://doi.org/10.1007/s11425-011-4296-4

Kiermaier, Michael ; Wassermann, Alfred:
Minimum weights and weight enumerators of ℤ₄-linear quadratic residue codes.
In: IEEE Transactions on Information Theory. Bd. 58 (2012) Heft 7 . - S. 4870-4883.
DOI: https://doi.org/10.1109/TIT.2012.2191389

Byrne, Eimear ; Kiermaier, Michael ; Sneyd, Alison:
Properties of codes with two homogeneous weights.
In: Finite Fields and their Applications. Bd. 18 (2012) Heft 4 . - S. 711-727.
DOI: https://doi.org/10.1016/j.ffa.2012.01.002

Kiermaier, Michael ; Zwanzger, Johannes:
New ring-linear codes from geometric dualization.
In: Augot, Daniel (Hrsg.): WCC 2011 : Proceedings of the Seventh International Workshop on Coding and Cryptography. - Paris : inventeurs du monde numérique (Inria), 2011 . - S. 111-120

Kiermaier, Michael ; Zwanzger, Johannes:
A ℤ₄-linear code of high minimum Lee distance derived from a hyperoval.
In: Advances in Mathematics of Communications. Bd. 5 (2011) Heft 2 . - S. 275-286.
DOI: https://doi.org/10.3934/amc.2011.5.275

Honold, Thomas ; Kiermaier, Michael ; Landjev, Ivan:
New arcs of maximal size in projective Hjelmslev planes of order 9.
In: Comptes Rendus de l'Académie Bulgare des Sciences. Bd. 63 (2010) Heft 2 . - S. 171-180.

Harada, Masaaki ; Kiermaier, Michael ; Wassermann, Alfred ; Yorgova, Radinka:
New binary singly even self-dual codes.
In: IEEE Transactions on Information Theory. Bd. 56 (2010) Heft 4 . - S. 1612-1617.
DOI: https://doi.org/10.1109/TIT.2010.2040967

Rez.:

AMS MathSciNet

Kiermaier, Michael ; Zwanzger, Johannes:
A new series of ℤ₄-linear codes of high minimum Lee distance derived from the Kerdock codes.
In: Edelmayer, András (Hrsg.): Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems. - Budapest , 2010 . - S. 929-932

Kiermaier, Michael ; Wassermann, Alfred:
On the minimum Lee distance of quadratic residue codes over ℤ₄.
In: 2008 IEEE International Symposium on Information Theory proceedings. - Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2008 . - S. 2617-2619
DOI: https://doi.org/10.1109/ISIT.2008.4595465