Permutation codes invariant under isometries
From MaRDI portal
Publication:2345924
DOI10.1007/s10623-014-9930-zzbMath1312.05010OpenAlexW2004598385MaRDI QIDQ2345924
Ingo Janiszczak, Reiner Staszewski, Wolfgang Lempken, Patric R. J. Östergård
Publication date: 21 May 2015
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-014-9930-z
Permutations, words, matrices (05A05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Bounds on codes (94B65) Other types of codes (94B60) Symmetric groups (20B30)
Related Items (9)
Using permutation rational functions to obtain permutation arrays with large Hamming distance ⋮ Multiple contractions of permutation arrays ⋮ Improved lower bounds for permutation arrays using permutation rational functions ⋮ Constructing permutation arrays from groups ⋮ Extending permutation arrays: improving MOLS bounds ⋮ A lower bound on permutation codes of distance \(n-1\) ⋮ Constructing permutation arrays using partition and extension ⋮ A note on good permutation codes from Reed-Solomon codes ⋮ New lower bounds for permutation arrays using contraction
Uses Software
Cites Work
- Unnamed Item
- A bound on permutation codes
- A new table of permutation codes
- Matrices dont deux lignes quelconque coincident dans un nombre donne de positions communes
- On the maximum number of permutations with given maximal or minimal distance
- Bounds for permutation arrays
- The Magma algebra system. I: The user language
- Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
- Constructions for permutation codes in powerline communications
- Bounds on permutation codes of distance four
- Four Mutually Orthogonal Latin Squares of Order 14
- The Symmetric Group as Metric Space
- Permutation Arrays for Powerline Communication and Mutually Orthogonal Latin Squares
- Permutation codes for discrete channels (Corresp.)
- Existence of Five MOLS of Orders 18 and 60
- Isometries and Construction of Permutation Arrays
This page was built for publication: Permutation codes invariant under isometries
