Array Codes in the Generalized Lee-RT Pseudo-Metric (GLRTP-Metric)

2010 ◽  
Vol 17 (spec01) ◽  
pp. 727-740 ◽  
Author(s):  
Sapna Jain
Keyword(s):  
Finite Ring ◽  
Array Codes ◽  
Lee Metric

In this paper, we introduce a pseudo-metric on the space of all m × s matrices with entries from the finite ring Zq, generalizing the classical Lee metric and the array RT metric, and name this pseudo-metric as the generalized Lee-RT pseudo-metric (or the GLRTP-metric). We also obtain some bounds on the parameters of array codes equipped with the GLRTP-metric.

ON THE GENERALIZED-LEE-RT-PSEUDO-METRIC (THE GLRTP-METRIC) ARRAY CODES CORRECTING BURST ERRORS

2008 ◽  
Vol 01 (01) ◽  
pp. 121-130 ◽  
Author(s):  
Sapna Jain
Keyword(s):  
Lower Bounds ◽  
Finite Ring ◽  
Two Dimensional ◽  
Dimensional Array ◽  
Array Codes ◽  
Lee Metric ◽  
Module Space

In [16], the author introduced a new pseudo-metric on the space Matm×s(Zq) which is the module space of all m × s matrices with entries from the finite ring Zq generalizing the classical Lee metric (see [17]) and the array RT- metric (see [19]) and named this pseudo-metric as the Generalized-Lee-RT-Pseudo-Metric (or the GLRTP-Metric). In this paper, we obtain some lower bounds for two dimensional array codes correcting burst errors (see [10]) with weight constraints under the GLRTP-metric.

Maximum likelihood decoding of RLL-FEC array codes on partial response channels

1993 ◽  
Vol 29 (16) ◽  
pp. 1406 ◽  
Author(s):  
G.S. Markarian ◽  
M. Naderi ◽  
B. Honary ◽  
A. Popplewell ◽  
J.J. O'Reilly
Keyword(s):  
Maximum Likelihood ◽  
Partial Response ◽  
Maximum Likelihood Decoding ◽  
Partial Response Channels ◽  
Array Codes

scholarly journals The predictable degree property and row reducedness for systems over a finite ring

2007 ◽  
Vol 425 (2-3) ◽  
pp. 776-796 ◽  
Author(s):  
Margreta Kuijper ◽  
Raquel Pinto ◽  
Jan Willem Polderman
Keyword(s):  
Finite Ring

Generalised Array Codes

1997 ◽  
pp. 7-57
Author(s):  
Bahram Honary ◽  
Garik Markarian
Keyword(s):  
Array Codes
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