The homogeneous weight partition and its character-theoretic dual

Heide Gluesing-Luerssen

doi:10.1007/s10623-015-0034-1

The homogeneous weight partition and its character-theoretic dual

Heide Gluesing-Luerssen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The homogeneous weight on a finite Frobenius ring naturally induces a partition which is invariant under left and right multiplication by units. It is shown that the character-theoretic left-sided dual of this partition coincides with the right-sided dual, and even more, the left- and right-sided Krawtchouk coefficients coincide. An example is provided showing that this is not the case for general invariant partitions if the ring is not semisimple.

Original language	English
Pages (from-to)	47-61
Number of pages	15
Journal	Designs, Codes, and Cryptography
Volume	79
Issue number	1
DOIs	https://doi.org/10.1007/s10623-015-0034-1
State	Published - Apr 1 2016

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media New York.

Keywords

Character-theoretic dual partitions
Finite Frobenius rings
Homogeneous weight

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science Applications
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1007/s10623-015-0034-1

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The homogeneous weight partition and its character-theoretic dual

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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