DNA Code from Cyclic and Skew Cyclic Codes over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><mn>4</mn></msub><mrow><mo>[</mo><mi>v</mi><mo>]</mo></mrow><mo>/</mo><mrow><mo>〈</mo><msup><mi>v</mi><mn>3</mn></msup><mo>〉</mo></mrow></mrow></semantics></math></inline-formula>

DNA Code from Cyclic and Skew Cyclic Codes over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><mn>4</mn></msub><mrow><mo>[</mo><mi>v</mi><mo>]</mo></mrow><mo>/</mo><mrow><mo>〈</mo><msup><mi>v</mi><mn>3</mn></msup><mo>〉</mo></mrow></mrow></semantics></math></inline-formula>

The main motivation of this work is to study and obtain some reversible and DNA codes of length <i>n</i> with better parameters. Here, we first investigate the structure of cyclic and skew cyclic codes over the chain ring <inline-formula><math xmlns="http://www.w3.org/1998/...

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Bibliographic Details
Main Authors: Om Prakash, Ashutosh Singh, Ram Krishna Verma, Patrick Solé, Wei Cheng
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Entropy
Subjects:
reversible code
gray map
DNA codes
Online Access:https://www.mdpi.com/1099-4300/25/2/239

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