A STUDY ON EQUIVALENCE OF 1-ERROR CORRECTING [6, 2, 4] QUATERNARY CODES

2019 ◽  
Vol 20 (2) ◽  
pp. 205-218
Author(s):  
Zahangir Hossain ◽  
Partha Pratim Dey ◽  
Md. Asifuzzaman
Keyword(s):  
Quaternary Codes

New results on quaternary codes and their Gray map images for constructing uniform designs

Metrika ◽  
2018 ◽  
Vol 81 (3) ◽  
pp. 307-336 ◽  
Author(s):  
A. M. Elsawah ◽  
Kai-Tai Fang
Keyword(s):  
Gray Map ◽  
Quaternary Codes ◽  
Uniform Designs

scholarly journals Small additive quaternary codes

2004 ◽  
Vol 25 (2) ◽  
pp. 161-167 ◽  
Author(s):  
A Blokhuis ◽  
A.E Brouwer
Keyword(s):  
Quaternary Codes ◽  
Small Additive

scholarly journals A Quaternary Code Correcting a Burst of at Most Two Deletion or Insertion Errors in DNA Storage

Entropy ◽  
2021 ◽  
Vol 23 (12) ◽  
pp. 1592
Author(s):  
Thi-Huong Khuat ◽  
Sunghwan Kim
Keyword(s):  
Error Correction ◽  
Data Storage ◽  
Upper Bounds ◽  
Code Design ◽  
Lower And Upper Bounds ◽  
Decoding Algorithms ◽  
Quaternary Code ◽  
Quaternary Codes ◽  
Dna Storage ◽  
Dna Strands

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.

scholarly journals Additive Quaternary Codes Related to Exceptional Linear Quaternary Codes

2020 ◽  
Vol 66 (1) ◽  
pp. 273-277
Author(s):  
Jurgen Bierbrauer ◽  
Stefano Marcugini ◽  
Fernanda Pambianco
Keyword(s):  
Quaternary Codes

scholarly journals New Quaternary Codes Derived from Posets of the Disjoint Union of Two Chains

2020 ◽  
Vol 24 (1) ◽  
pp. 20-24
Author(s):  
Xiaomeng Zhu ◽  
Yansheng Wu ◽  
Qin Yue
Keyword(s):  
Disjoint Union ◽  
Quaternary Codes

scholarly journals Quarter-fraction factorial designs constructed via quaternary codes

2009 ◽  
Vol 37 (5A) ◽  
pp. 2561-2581 ◽  
Author(s):  
Frederick K. H. Phoa ◽  
Hongquan Xu
Keyword(s):  
Factorial Designs ◽  
Quaternary Codes

On small covering codes in arbitrary mixed hamming spaces

2007 ◽  
Vol 44 (4) ◽  
pp. 517-534
Author(s):  
Gerzson Kéri
Keyword(s):  
Sufficient Conditions ◽  
Covering Codes ◽  
Quaternary Codes

Some results of Kéri and Östergård [3] regarding mixed binary/ternary covering codes are extended a) for mixed binary/ternary/quaternary codes, b) for codes in arbitrary mixed Hamming spaces. Some other results (sufficient conditions and examples of solved and unsolved cases) regarding 5-word codes in Z2bZ3tZ4q and Z2bZ3tZ4qZ5f are also provided in the paper.

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