scholarly journals The Construction of Permutation Group Codes for Communication Systems: Prime or Prime Power?

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 69953-69966
Author(s):  
Li Peng ◽  
Sijia Chen ◽  
Shuxia Guo
Keyword(s):  
Permutation Group ◽  
Communication Systems ◽  
Prime Power ◽  
Group Codes

Supplement to “The group E6(q) and graphs with a locally linear group of automorphisms” by V. I. Trofimov and R. M. Weiss

2009 ◽  
Vol 148 (1) ◽  
pp. 33-45 ◽  
Author(s):  
V. I. TROFIMOV
Keyword(s):  
Normal Subgroup ◽  
Vector Space ◽  
Permutation Group ◽  
Linear Group ◽  
Prime Power ◽  
Companion Paper ◽  
Dimensional Vector ◽  
Dimensional Vector Space ◽  
Group Of Automorphisms ◽  
Locally Linear

AbstractLet q be a prime power and let G be a group acting faithfully and vertex transitively on a graph such that for each vertex x, the stabilizer Gx is finite and contains a normal subgroup inducing on the set of neighbours of x a permutation group isomorphic to the linear group L5(q) acting on the 2-dimensional subspaces of a 5-dimensional vector space over Fq. In a companion paper, it is shown, except in some special situations where q = 2, that the kernel of the action of a vertex stabilizer Gx on the ball of radius 3 around x is trivial. In this paper we show that these special situations cannot occur.

Equidistant permutation group codes

2022 ◽  
Author(s):  
Fatemeh Jafari ◽  
Alireza Abdollahi ◽  
Javad Bagherian ◽  
Maryam Khatami ◽  
Reza Sobhani
Keyword(s):  
Permutation Group ◽  
Group Codes

( n , n ( n ‐1), n ‐1) Permutation group codes

2016 ◽  
Vol 52 (9) ◽  
pp. 706-708 ◽  
Author(s):  
Li Peng
Keyword(s):  
Permutation Group ◽  
Group Codes
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