A method to find the volume of a sphere in the Lee metric, and its applications

2020 ◽  
Author(s):  
Sagnik Bhattacharya ◽  
Adrish Banerjee
Keyword(s):  
Lee Metric

scholarly journals Tilings in Lee metric

2009 ◽  
Vol 30 (2) ◽  
pp. 480-489 ◽  
Author(s):  
P. Horak
Keyword(s):  
Lee Metric

scholarly journals On channels and codes for the Lee metric

1971 ◽  
Vol 19 (2) ◽  
pp. 159-173 ◽  
Author(s):  
J. Chung-yaw Chiang ◽  
Jack K. Wolf
Keyword(s):  
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

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.

scholarly journals Some Remarks on the Plotkin Bound

10.37236/1746 ◽  
2003 ◽  
Vol 10 (1) ◽  
Author(s):  
Jörn Quistorff
Keyword(s):  
Upper Bound ◽  
Coding Theory ◽  
Minimum Distance ◽  
Binary Codes ◽  
Plotkin Bound ◽  
Hamming Metric ◽  
Lee Metric

In coding theory, Plotkin's upper bound on the maximal cadinality of a code with minimum distance at least $d$ is well known. He presented it for binary codes where Hamming and Lee metric coincide. After a brief discussion of the generalization to $q$-ary codes preserved with the Hamming metric, the application of the Plotkin bound to $q$-ary codes preserved with the Lee metric due to Wyner and Graham is improved.

Lee-metric decoding of BCH and Reed–Solomon codes

2003 ◽  
Vol 39 (21) ◽  
pp. 1522 ◽  
Author(s):  
X.-W. Wu ◽  
M. Kuijper ◽  
P. Udaya
Keyword(s):  
Reed Solomon Codes ◽  
Lee Metric

scholarly journals Decoding algorithm and architecture for BCH codes under the Lee Metric

2008 ◽  
Vol 56 (12) ◽  
pp. 2050-2059 ◽  
Author(s):  
Yingquan Wu ◽  
Christoforos Hadjicostis
Keyword(s):  
Bch Codes ◽  
Decoding Algorithm ◽  
Lee Metric
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