Symbol-Pair Distances of a Class of Repeated-Root Constacyclic Codes of Length <i>np<sup>s</sup></i> over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub></mrow></semantics></math></inline-formula> and over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub><mo>+</mo><mi>u</mi><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub></mrow></semantics></math></inline-formula>

Symbol-Pair Distances of a Class of Repeated-Root Constacyclic Codes of Length <i>np<sup>s</sup></i> over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub></mrow></semantics></math></inline-formula> and over <inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub><mo>+</mo><mi>u</mi><msub><mi mathvariant="double-struck">F</mi><msup><mi>p</mi><mi>m</mi></msup></msub></mrow></semantics></math></inline-formula>

Symbol-pair codes are a class of block codes with symbol-pair metrics designed to protect against pair errors that may occur in high-density data storage systems. Maximum distance separable (MDS) symbol-pair codes are optimal in the sense that they can attain the highest pair-error correctability wi...

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Bibliographic Details
Main Authors: Wei Zhao, Weixian Li, Hui Chen
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Axioms
Subjects:
symbol-pair codes
constacyclic codes
finite fields
finite chain rings
Online Access:https://www.mdpi.com/2075-1680/14/5/327
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