scholarly journals A trigonometric approach to quaternary code designs with application to one-eighth and one-sixteenth fractions

2011 ◽  
Vol 39 (2) ◽  
pp. 931-955 ◽  
Author(s):  
Runchu Zhang ◽  
Frederick K. H. Phoa ◽  
Rahul Mukerjee ◽  
Hongquan Xu
Keyword(s):  
1990 ◽  
Vol 36 (5) ◽  
pp. 1153-1156 ◽  
Author(s):  
C.W.H. Lam ◽  
V. Pless
Keyword(s):  

1990 ◽  
Vol 83 (2-3) ◽  
pp. 205-212 ◽  
Author(s):  
Ying Cheng ◽  
N.J.A. Sloane

2012 ◽  
Vol 60 (1) ◽  
pp. 14-18 ◽  
Author(s):  
Kanke Gao ◽  
Stella N. Batalama ◽  
Dimitris A. Pados
Keyword(s):  

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1592
Author(s):  
Thi-Huong Khuat ◽  
Sunghwan Kim

Due to the properties of DNA data storage, the errors that occur in DNA strands make error correction an important and challenging task. In this paper, a new code design of quaternary code suitable for DNA storage is proposed to correct at most two consecutive deletion or insertion errors. The decoding algorithms of the proposed codes are also presented when one and two deletion or insertion errors occur, and it is proved that the proposed code can correct at most two consecutive errors. Moreover, the lower and upper bounds on the cardinality of the proposed quaternary codes are also evaluated, then the redundancy of the proposed code is provided as roughly 2log48n.


2019 ◽  
Vol 3 (3) ◽  
pp. 127-136
Author(s):  
Ahsan Habib ◽  
M. Jahirul Islam ◽  
Mohammad Shahidur Rahman

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