Free Resolutions and Generalized Hamming Weights of Binary Linear Codes

In this work, we explore the relationship between the graded free resolution of some monomial ideals and the Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a structure that is smaller than the set of codewords of minimal support that provides us with some information...

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Bibliographic Details
Published in:Mathematics
Main Authors: Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro, Yuriko Pitones
Format: Article
Language:English
Published: MDPI AG 2022-06-01
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Online Access:https://www.mdpi.com/2227-7390/10/12/2079