New constant weight codes from linear permutation groups

1997 ◽  
Vol 43 (5) ◽  
pp. 1623-1630 ◽  
Author(s):  
K.J. Nurmela ◽  
M.K. Kaikkonen ◽  
P.R.J. Ostergard
Keyword(s):  
Permutation Groups ◽  
Constant Weight Codes ◽  
Constant Weight

scholarly journals Some Constant Weight Codes from Primitive Permutation Groups

10.37236/2702 ◽  
2012 ◽  
Vol 19 (4) ◽  
Author(s):  
Derek H. Smith ◽  
Roberto Montemanni
Keyword(s):  
Automorphism Group ◽  
Fixed Points ◽  
Maximum Clique ◽  
Permutation Groups ◽  
Linear Groups ◽  
Web Pages ◽  
Constant Weight Codes ◽  
Constant Weight ◽  
General Linear Groups

In recent years the detailed study of the construction of constant weight codes has been extended from length at most 28 to lengths less than 64. Andries Brouwer maintains web pages with tables of the best known constant weight codes of these lengths. In many cases the codes have more codewords than the best code in the literature, and are not particularly easy to improve. Many of the codes are constructed using a specified permutation group as automorphism group. The groups used include cyclic, quasi-cyclic, affine general linear groups etc. sometimes with fixed points. The precise rationale for the choice of groups is not clear.In this paper the choice of groups is made systematic by the use of the classification of primitive permutation groups. Together with several improved techniques for finding a maximum clique, this has led to the construction of 39 improved constant weight codes.

scholarly journals Multiply Constant-Weight Codes and the Reliability of Loop Physically Unclonable Functions

2014 ◽  
Vol 60 (11) ◽  
pp. 7026-7034 ◽  
Author(s):  
Yeow Meng Chee ◽  
Zouha Cherif ◽  
Jean-Luc Danger ◽  
Sylvain Guilley ◽  
Han Mao Kiah ◽  
...  
Keyword(s):  
Constant Weight Codes ◽  
Constant Weight ◽  
Physically Unclonable Functions

scholarly journals A modification of the Zinoviev lower bound for constant weight codes

1985 ◽  
Vol 11 (3) ◽  
pp. 307-310 ◽  
Author(s):  
Iiro Honkala ◽  
Heikki Hämäläinen ◽  
Markku Kaikkonen
Keyword(s):  
Lower Bound ◽  
Constant Weight Codes ◽  
Constant Weight

New constructions of optimal cyclically permutable constant weight codes

1995 ◽  
Vol 41 (2) ◽  
pp. 448-455 ◽  
Author(s):  
O. Moreno ◽  
Zhen Zhang ◽  
P.V. Kumar ◽  
V.A. Zinoviev
Keyword(s):  
Constant Weight Codes ◽  
Constant Weight

On the Svanstrom bound for ternary constant-weight codes

2001 ◽  
Vol 47 (5) ◽  
pp. 2061-2064 ◽  
Author(s):  
Fang-Wei Fu ◽  
T. Klove ◽  
Yuan Luo ◽  
V.K. Wei
Keyword(s):  
Constant Weight Codes ◽  
Constant Weight

Perfect Constant-Weight Codes

2004 ◽  
Vol 50 (9) ◽  
pp. 2156-2165 ◽  
Author(s):  
T. Etzion ◽  
M. Schwartz
Keyword(s):  
Constant Weight Codes ◽  
Constant Weight

On relative constant-weight codes

2013 ◽  
Vol 75 (1) ◽  
pp. 127-144 ◽  
Author(s):  
Zihui Liu ◽  
Xin-Wen Wu
Keyword(s):  
Constant Weight Codes ◽  
Constant Weight ◽  
Relative Constant
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