Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s10623-015-0034-1 | Designs, Codes and Cryptography |
Keywords | Field | DocType |
Homogeneous weight,Finite Frobenius rings,Character-theoretic dual partitions,94B05,94B99,16L60 | Discrete mathematics,Combinatorics,Homogeneous,Multiplication,Left and right,Invariant (mathematics),Partition (number theory),Mathematics | Journal |
Volume | Issue | ISSN |
abs/1403.4452 | 1 | 0925-1022 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Heide Gluesing-Luerssen | 1 | 69 | 12.81 |