scholarly journals A modification of the elias-bound and nonexistence theorems for perfect codes in the Lee-metric

1981 ◽  
Vol 49 (2) ◽  
pp. 109-124 ◽  
Author(s):  
Timo Lepistö
Keyword(s):  
Perfect Codes ◽  
Lee Metric

Perfect Codes in the Lee Metric and the Packing of Polyominoes

1970 ◽  
Vol 18 (2) ◽  
pp. 302-317 ◽  
Author(s):  
Solomon W. Golomb ◽  
Lloyd R. Welch
Keyword(s):  
Perfect Codes ◽  
Lee Metric

scholarly journals On some perfect codes with respect to Lee metric

2005 ◽  
Vol 405 ◽  
pp. 104-120 ◽  
Author(s):  
Sapna Jain ◽  
Ki-Bong Nam ◽  
Ki-Suk Lee
Keyword(s):  
Perfect Codes ◽  
Lee Metric

scholarly journals Perfect Codes in Cartesian Products of 2-Paths and Infinite Paths

10.37236/1962 ◽  
2005 ◽  
Vol 12 (1) ◽  
Author(s):  
Paul Dorbec ◽  
Michel Mollard
Keyword(s):  
Error Correcting Codes ◽  
Infinite Length ◽  
Perfect Codes ◽  
Cartesian Products ◽  
Common Generalization ◽  
Single Error ◽  
Existence And Nonexistence ◽  
Lee Metric

We introduce and study a common generalization of 1-error binary perfect codes and perfect single error correcting codes in Lee metric, namely perfect codes on products of paths of length 2 and of infinite length. Both existence and nonexistence results are given.

Weighted perfect codes in Lee metric

2009 ◽  
Vol 34 ◽  
pp. 477-481
Author(s):  
P. Dorbec ◽  
S. Gravier ◽  
I. Honkala ◽  
M. Mollard
Keyword(s):  
Perfect Codes ◽  
Lee Metric

Perfect codes in Euclidean lattices

2021 ◽  
Vol 40 (2) ◽  
Author(s):  
Giselle Strey ◽  
João E. Strapasson ◽  
Sueli I. R. Costa
Keyword(s):  
Perfect Codes ◽  
Euclidean Lattices

scholarly journals On decoding binary perfect and quasi-perfect codes over markov noise channels

2009 ◽  
Vol 57 (4) ◽  
pp. 873-878 ◽  
Author(s):  
Haider Al-Lawati ◽  
Fady Alajaji
Keyword(s):  
Perfect Codes
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