Veröffentlichungen "Kiermaier, Michael"

2023

Kiermaier, Michael ; Kurz, Sascha:
Classification of Δ-divisible linear codes spanned by codewords of weight Δ.
Bayreuth , 2023 . - 12 S.
DOI: https://doi.org/10.15495/EPub_UBT_00006857

dela Cruz, Romar ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
On the minimum number of minimal codewords.
In: Advances in Mathematics of Communications. Bd. 17 (2023) Heft 2 . - S. 333-341.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2020130

Kiermaier, Michael ; Kurz, Sascha:
Classification of Δ-Divisible Linear Codes Spanned by Codewords of Weight Δ.
In: IEEE Transactions on Information Theory. Bd. 69 (2023) Heft 6 . - S. 3544-3551.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2023.3239582

Kiermaier, Michael ; Kurz, Sascha ; Solé, Patrick ; Stoll, Michael ; Wassermann, Alfred:
On strongly walk regular graphs, triple sum sets and their codes.
In: Designs, Codes and Cryptography. Bd. 91 (2023) . - S. 645-675.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-022-01118-z

2022

Kiermaier, Michael:
On α-points of q-analogs of the Fano plane.
In: Designs, Codes and Cryptography. Bd. 90 (2022) Heft 6 . - S. 1335-1345.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-022-01033-3

Shi, Minjia ; Kiermaier, Michael ; Kurz, Sascha ; Solé, Patrick:
Three-Weight Codes over Rings and Strongly Walk Regular Graphs.
In: Graphs and Combinatorics. Bd. 38 (2022) . - 56.
ISSN 1435-5914
DOI: https://doi.org/10.1007/s00373-021-02430-6

2020

dela Cruz, Romar ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
On the minimum number of minimal codewords.
Bayreuth , 2020 . - 9 S.
DOI: https://doi.org/10.15495/EPub_UBT_00004877

Kiermaier, Michael ; Kurz, Sascha:
On the lengths of divisible codes.
Bayreuth , 2020 . - 17 S.

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The Lengths of Projective Triply-Even Binary Codes.
In: IEEE Transactions on Information Theory. Bd. 66 (2020) Heft 5 . - S. 2713-2716.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2019.2940967

Kiermaier, Michael ; Kurz, Sascha:
On the lengths of divisible codes.
In: IEEE Transactions on Information Theory. Bd. 66 (2020) Heft 7 . - S. 4051-4060.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2020.2968832

2019

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Tables of subspace codes.
Bayreuth , 2019 . - 44 S.

Kiermaier, Michael ; Kurz, Sascha ; Shi, Minjia ; Solé, Patrick:
Three-weight codes over rings and strongly walk regular graphs.
Bayreuth , 2019 . - 28 S.

Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Derived designs of q-Fano planes and q-analogs of group divisible designs.
2019
Veranstaltung: Academy Contact Forum: Coding Theory and Cryptography VIII , 2019-09-27 , The royal Flemish academy of Belgium for science and arts, Brussels, Belgium.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The lengths of projective triply-even binary codes.
Bayreuth , 2019 . - 6 S.

de Beule, Jan ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
On q-analogs of group divisible designs.
2019
Veranstaltung: 9th Slovenian International Conference on Graph Theory , 23.-29.06.2019 , Bled, Slovenia.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Kiermaier, Michael ; Kurz, Sascha:
On the lengths of divisible codes.
Bayreuth , 2019 . - 17 S.

Buratti, Marco ; Kiermaier, Michael ; Kurz, Sascha ; Nakić, Anamari ; Wassermann, Alfred:
q-analogs of group divisible designs.
Bayreuth , 2019 . - 18 S.

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Johnson type bounds for mixed dimension subspace codes.
Bayreuth , 2019 . - 16 S.

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
A subspace code of size 333 in the setting of a binary q-analog of the Fano plane.
Bayreuth , 2019 . - 18 S.

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Classification of large partial plane spreads in PG(6,2) and related combinatorial objects.
In: Journal of Geometry. Bd. 110 (2019) . - 5.
ISSN 1420-8997
DOI: https://doi.org/10.1007/s00022-018-0459-6

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6.
In: Designs, Codes and Cryptography. Bd. 87 (2019) Heft 2-3 . - S. 375-391.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-018-0544-8

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Generalized vector space partitions.
In: The Australasian Journal of Combinatorics. Bd. 73 (2019) Heft 1 . - S. 162-178.
ISSN 1034-4942

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Johnson type bounds for mixed dimension subspace codes.
In: The Electronic Journal of Combinatorics. Bd. 26 (2019) Heft 3 . - P3.39.
ISSN 1077-8926
DOI: https://doi.org/10.37236/8188

Braun, Michael ; Kiermaier, Michael ; Laue, Reinhard:
New 2-designs over finite fields from derived and residual designs.
In: Advances in Mathematics of Communications. Bd. 13 (2019) Heft 1 . - S. 165-170.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2019010

Buratti, Marco ; Kiermaier, Michael ; Kurz, Sascha ; Nakić, Anamari ; Wassermann, Alfred:
q-analogs of group divisible designs.
In: Schmidt, Kai-Uwe ; Winterhof, Arne (Hrsg.): Combinatorics and Finite Fields : Difference Sets, Polynomials, Pseudorandomness and Applications. - Berlin : De Gruyter , 2019 . - (Radon Series on Computational and Applied Mathematics ; 23 )
ISBN 978-3-11-064179-0

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
A subspace code of size 333 in the setting of a binary q-analog of the Fano plane.
In: Advances in Mathematics of Communications. Bd. 13 (2019) Heft 3 . - S. 457-475.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2019029

2018

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
(Multi-)Sets of subspaces and divisible codes.
2018
Veranstaltung: Algebraic Coding Theory for Networks, Storage, and Security , 16-21.12.2018 , Schloß Dagstuhl, Wadern.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Kiermaier, Michael ; Kurz, Sascha:
On the lengths of divisible codes.
2018
Veranstaltung: Kolloquium über Kombinatorik (KolKom) , 23. bis 24. Nov. 2018 , Universität Paderborn.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Random Linear Network Coding - Wissenschaftliches Rechnen für den 5G-Standard?
2018
Veranstaltung: Modellierung und Simulation (MODUS) , 2018 , Bayreuth.
(Veranstaltungsbeitrag: Vortragsreihe , Vortrag )

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Classification of large partial plane spreads in PG(6,2) and related combinatorial objects.
Bayreuth , 2018 . - 31 S.

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Tables of Subspacecodes.
2018
Veranstaltung: Munich Workshop on Coding and Cryptography 2018 , 10.-11.04.2018 , München.
(Veranstaltungsbeitrag: Workshop , Poster )

Kiermaier, Michael ; Kurz, Sascha:
An improvement of the Johnson bound for subspace codes.
Bayreuth , 2018 . - 12 S.

Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
q-Analoga von Designs, Subspace Codes und verwandte Objekte.
2018
Veranstaltung: Gemeinsame Jahrestagung GDMV 2018 , 05.-09.03.2018 , Paderborn.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Wassermann, Alfred ; Buratti, Marco ; Kurz, Sascha ; Nakić, Anamari ; Kiermaier, Michael:
q-analogs of group divisible designs.
2018
Veranstaltung: Discretaly: A Workshop in Discrete Mathematics , 1.-2.2.2018 , Rome, Italy.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Partial Spreads and Vector Space Partitions.
In: Greferath, Marcus ; Pavčević, Mario Osvin ; Silberstein, Natalia ; Vázquez-Castro, María Ángeles (Hrsg.): Network Coding and Subspace Designs. - Cham : Springer , 2018 . - S. 131-170 . - (Signals and Communication Technology )
ISBN 978-3-319-70292-6
DOI: https://doi.org/10.1007/978-3-319-70293-3_7

Braun, Michael ; Kiermaier, Michael ; Wassermann, Alfred:
Computational methods in subspace designs.
In: Greferath, Marcus ; Pavčević, Mario Osvin ; Natalia, Silberstein ; María Ángeles, Vázquez-Castro (Hrsg.): Network Coding and Subspace Designs. - Cham : Springer , 2018 . - S. 213-244 . - (Signals and Communication Technology )
ISBN 978-3-319-70292-6
DOI: https://doi.org/10.1007/978-3-319-70293-3_9

Kiermaier, Michael ; Laue, Reinhard ; Wassermann, Alfred:
A new series of large sets of subspace designs over the binary field.
In: Designs, Codes and Cryptography. Bd. 86 (2018) Heft 2 . - S. 251-268.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-017-0349-1

Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The order of the automorphism group of a binary q-analog of the Fano plane is at most two.
In: Designs, Codes and Cryptography. Bd. 86 (2018) Heft 2 . - S. 239-250.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-017-0360-6

Braun, Michael ; Kiermaier, Michael ; Wassermann, Alfred:
q-analogs of designs : Subspace designs.
In: Greferath, Marcus ; Pavčević, Mario Osvin ; Silberstein, Natalia ; Vázquez-Castro, María Ángeles (Hrsg.): Network Coding and Subspace Designs. - Cham : Springer , 2018 . - S. 171-211 . - (Signals and Communication Technology )
ISBN 978-3-319-70292-6
DOI: https://doi.org/10.1007/978-3-319-70293-3_8

2017

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Classifying optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6.
Bayreuth , 2017 . - 16 S.

Kurz, Sascha ; Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Wassermann, Alfred:
Upper bounds for constant dimension codes.
2017
Veranstaltung: Academy Contact Forum "Coding Theory and Cryptography VII" , 06.10.2017 , Brüssel, Belgien.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Projective divisible binary codes.
2017
Veranstaltung: WCC 2017 , 18 - 22 September 2017 , Saint Petersburg, Russia.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Classification of optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6.
2017
Veranstaltung: WCC 2017 , 18 - 22 September 2017 , Saint Petersburg, Russia.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Classification of optimal binary subspace codes of length 8, constant dimension 4 and minimum distance 6.
2017
Veranstaltung: 5th ICMCTA , 28 - 31 August 2017 , Vihula Manor, Estonia.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The linear programming method for partial spreads.
2017
Veranstaltung: Summer School on Finite Geometry , 26 - 30 June 2017 , Brighton.
(Veranstaltungsbeitrag: Sonstige Veranstaltungsart, Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Upper bounds for partial spreads from divisible codes.
2017
Veranstaltung: The 13th International Conference on Finite Fields and their Applications , 04.-10.06.2017 , Gaeta, Italy.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Upper bounds for partial spreads.
2017
Veranstaltung: Computeralgebra-Tagung 2017 , 04.-06.05.2017 , Kassel, Deutschland.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Projective divisible binary codes.
Bayreuth , 2017 . - 10 S.

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Partial spreads and vector space partitions.
Bayreuth , 2017 . - 30 S.

Braun, Michael ; Kiermaier, Michael ; Kohnert, Axel ; Laue, Reinhard:
Large sets of subspace designs.
In: Journal of Combinatorial Theory, Series A. Bd. 147 (2017) . - S. 155-185.
ISSN 0097-3165
DOI: https://doi.org/10.1016/j.jcta.2016.11.004

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Projective divisible binary codes.
In: Augot, Daniel ; Krouk, Evgeny ; Loidreau, Pierre (Hrsg.): The Tenth International Workshop on Coding and Cryptography 2017 : WCC Proceedings. - Saint-Petersburg , 2017

2016

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Constructions and Bounds for Mixed-Dimension Subspace Codes.
Bayreuth , 2016 . - 35 S.

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Subspace codes.
2016
Veranstaltung: Workshop in coding theory and cryptography , 21.11.2016 , Brussels.
(Veranstaltungsbeitrag: Workshop , Vortrag )

de la Cruz, Javier ; Kiermaier, Michael ; Wassermann, Alfred ; Willems, Wolfgang:
Algebraic structures of MRD codes.
In: Advances in Mathematics of Communications. Bd. 10 (2016) Heft 3 . - S. 499-510.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2016021

de la Cruz, Javier ; Kiermaier, Michael ; Wassermann, Alfred:
The automorphism group of an extremal [120, 60, 24] code does not contain elements of order 29.
In: Designs, Codes and Cryptography. Bd. 78 (2016) Heft 3 . - S. 693-702.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-014-0025-7

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Constructions and bounds for mixed-dimension subspace codes.
In: Advances in Mathematics of Communications. Bd. 10 (2016) Heft 3 . - S. 649-682.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2016033

Kerber, Adalbert ; Kiermaier, Michael ; Laue, Reinhard ; Pavčević, Mario Osvin ; Wassermann, Alfred:
Editorial.
In: Advances in Mathematics of Communications. Bd. 10 (2016) Heft 3 . - S. I-II.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.201603i

Kiermaier, Michael ; Wassermann, Alfred ; Zwanzger, Johannes:
New upper bounds on binary linear codes and a ℤ₄-code with a better-than-linear Gray image.
In: IEEE Transactions on Information Theory. Bd. 62 (2016) Heft 12 . - S. 6768-6771.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2016.2612654

Honold, Thomas ; Kiermaier, Michael:
On putative q-analogues of the Fano plane and related combinatorial structures.
In: Hagen, Thomas ; Rupp, Florian ; Scheurle, Jürgen (Hrsg.): Dynamical Systems, Number Theory and Applications : A Festschrift in Honor of Armin Leutbecher’s 80th Birthday. - New Jersey : World Scientific , 2016 . - S. 141-175
ISBN 978-981-4699-86-0
DOI: https://doi.org/10.1142/9789814699877_0008

Braun, Michael ; Kiermaier, Michael ; Nakić, Anamari:
On the automorphism group of a binary q-analog of the Fano plane.
In: European Journal of Combinatorics. Bd. 51 (2016) . - S. 443-457.
ISSN 0195-6698
DOI: https://doi.org/10.1016/j.ejc.2015.07.014

Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
The order of the automorphism group of a binary q-analog of the Fano plane is at most two.
Bayreuth , 2016 . - 10 S.

2015

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Improved bounds and classification results for binary subspace codes.
2015
Veranstaltung: 7th Workshop on Coding and Systems , 01.-03.07.2015 , Salamanca, Spain.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
ILP techniques for binary subspace codes.
2015
Veranstaltung: Algebraic combinatorics and applications - ALCOMA 2015 , 15.-20.03.2015 , Kloster Banz, Germany.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Towards a classification of special partial spreads and subspace codes.
2015
Veranstaltung: Algebraic combinatorics and applications - ALCOMA 2015 , 15.-20.03.2015 , Kloster Banz, Germany.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

ALCOMA 15 : Algebraic Combinatorics and Applications.
Hrsg.: Kerber, Adalbert ; Kiermaier, Michael ; Laue, Reinhard ; Pavčević, Mario Osvin ; Wassermann, Alfred
Bayreuth , 2015 . - 84 S.

de la Cruz, Javier ; Kiermaier, Michael ; Wassermann, Alfred ; Willems, Wolfgang:
Algebraic structures of MRD Codes.
Cornell , 2015

Kiermaier, Michael ; Laue, Reinhard:
Derived and residual subspace designs.
In: Advances in Mathematics of Communications. Bd. 9 (2015) Heft 1 . - S. 105-115.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2015.9.105

Kiermaier, Michael ; Pavčević, Mario Osvin:
Intersection numbers for subspace designs.
In: Journal of Combinatorial Designs. Bd. 23 (2015) Heft 11 . - S. 463-480.
ISSN 1520-6610
DOI: https://doi.org/10.1002/jcd.21403

Kiermaier, Michael ; Wassermann, Alfred ; Zwanzger, Johannes:
New upper bounds on binary linear codes and a ℤ₄-code with a better-than-linear Gray image.
Cornell , 2015

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Optimal binary subspace codes of length 6, constant dimension 3 and minimum subspace distance 4.
In: Kyureghyan, Gohar ; Mullen, Gary L. ; Pott, Alexander (Hrsg.): Topics in Finite Fields. - Providence, Rhode Island : American Mathematical Society , 2015 . - S. 157-176 . - (Contemporary Mathematics ; 632 )
ISBN 978-0-8218-9860-4
DOI: https://doi.org/10.1090/conm/632/12627

2014

Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Optimal binary subspace codes of length 6, constant dimension 3 and minimum distance 4.
Bayreuth , 2014 . - 24 S.

Carlet, Claude ; Freibert, Finley ; Guilley, Sylvain ; Kiermaier, Michael ; Kim, Jon-Lark ; Solé, Patrick:
Higher-order CIS codes.
In: IEEE Transactions on Information Theory. Bd. 60 (2014) Heft 9 . - S. 5283-5295.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2014.2332468

Braun, Michael ; Kiermaier, Michael ; Nakić, Anamari:
On the automorphism group of the binary q-analog of the Fano plane.
In: Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems : MTNS 2014. - Groningen : Univ. , 2014 . - S. 1402-1405
ISBN 978-90-367-6321-9

2013

Kiermaier, Michael:
Codes from translation schemes on Galois rings of characteristic 4.
In: Electronic Notes in Discrete Mathematics. Bd. 40 (2013) . - S. 175-180.
ISSN 1571-0653
DOI: https://doi.org/10.1016/j.endm.2013.05.032

Honold, Thomas ; Kiermaier, Michael:
The existence of maximal (q², 2)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic.
In: Designs, Codes and Cryptography. Bd. 68 (2013) Heft 1–3 . - S. 105-126.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-012-9653-y

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.
ISSN 1573-7586
DOI: https://doi.org/10.1007/s10623-012-9650-1

Kiermaier, Michael:
There is no self-dual ℤ₄-linear code whose Gray image has the parameters (72,2³⁶,16).
In: IEEE Transactions on Information Theory. Bd. 59 (2013) Heft 6 . - S. 3384-3386.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2013.2246816

2012

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 )
ISBN 978-0-8218-5298-9
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.
ISSN 1869-1862
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.
ISSN 0018-9448
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.
ISSN 1071-5797
DOI: https://doi.org/10.1016/j.ffa.2012.01.002

2011

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 ; Koch, Matthias ; Kurz, Sascha:
2-arcs of maximal size in the affine and the projective Hjelmslev plane over Z25.
In: Advances in Mathematics of Communications. Bd. 5 (2011) Heft 2 . - S. 287-301.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2011.5.287

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.
ISSN 1930-5346
DOI: https://doi.org/10.3934/amc.2011.5.275

2010

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.
ISSN 1310-1331

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.
ISSN 0018-9448
DOI: https://doi.org/10.1109/TIT.2010.2040967

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
ISBN 978-963-311-370-7

2009

Kiermaier, Michael ; Kurz, Sascha:
Maximal integral point sets in affine planes over finite fields.
In: Discrete Mathematics. Bd. 309 (2009) Heft 13 . - S. 4564-4575.
ISSN 0012-365X
DOI: https://doi.org/10.1016/j.disc.2009.02.020

2008

Kiermaier, Michael ; Wassermann, Alfred:
Double and bordered α-circulant self-dual codes over finite commutative chain rings.
In: Proceedings of the Eleventh International Workshop on Algebraic and Combinatorial Coding Theory 2008. - Pamporovo , 2008 . - S. 144-150

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
ISBN 978-1-4244-2256-2
DOI: https://doi.org/10.1109/ISIT.2008.4595465

2007

Kiermaier, Michael ; Wassermann, Alfred:
Computing the minimum Lee weight of the ℤ₄-linear Quadratic Residue Codes of length 72 and 80.
In: Oberwolfach Reports. Bd. 4 (2007) Heft 4 . - S. 3216.
ISSN 1660-8941
DOI: https://doi.org/10.4171/OWR/2007/56