Open AccessOn the symmetry group of extended perfect binary codes of length $n+1$ and rank $n-\log(n+1)+2$
Author(s) -
Olof Heden,
Fabio Pasticci,
Thomas Westerbäck
Publication year - 2012
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2012.6.121
Subject(s) - mathematics , combinatorics , rank (graph theory) , integer (computer science) , group (periodic table) , symmetry (geometry) , binary number , binary code , arithmetic , geometry , physics , quantum mechanics , computer science , programming language
It is proved that for every integer n = 2(k) - 1, with k >= 5, there exists a perfect code C of length n, of rank r = n - log(n + 1) + 2 and with a trivial symmetry group. This result extends an ...
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom