The Partial-Inverse Approach to Linearized Polynomials and Gabidulin Codes With Applications to Network Coding

This paper introduces the partial-inverse problem for linearized polynomials and develops its application to decoding Gabidulin codes and lifted Gabidulin codes in linear random network coding. The proposed approach is a natural generalization of its counterpart for ordinary polynomials, thus provid...

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Vydané v:	IEEE transactions on information theory Ročník 69; číslo 6; s. 3759 - 3774
Hlavní autori:	Yu, Jiun-Hung, Loeliger, Hans-Andrea
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York IEEE 01.06.2023 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:	Algorithms Berlekamp-Massey algorithm Codes Coding Decoding Encoding Euclidean algorithm Gabidulin codes Interpolation Inverse problems key equation Linearization Measurement Network coding partial-inverse algorithm partial-inverse problem Polynomials
ISSN:	0018-9448, 1557-9654
On-line prístup:	Získať plný text
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