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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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 69; no. 6; pp. 3759 - 3774
Main Authors:	Yu, Jiun-Hung, Loeliger, Hans-Andrea
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.06.2023 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	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
Online Access:	Get full text
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