@article{a73d4e6095964bbd9ed65aaa24956043,
title = "Minimal codewords in Norm-Trace codes",
abstract = "In this paper, we consider the affine variety codes obtained evaluating the polynomials by=a kx k+…+a 1x+a 0, b,a i∈Fq r, at the affine Fq r-rational points of the Norm-Trace curve. In particular, we investigate the weight distribution and the set of minimal codewords. Our approach, which uses tools of algebraic geometry, is based on the study of the absolute irreducibility of certain algebraic varieties.",
keywords = "Affine variety codes, Minimal codewords, Norm-trace curve, Weight spectrum",
author = "Daniele Bartoli and Matteo Bonini and Marco Timpanella",
note = "Funding Information: This research was supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA - INdAM). The third author is funded by the project “Metodi matematici per la firma digitale ed il cloud computing” (Programma Operativo Nazionale (PON) “Ricerca e Innovazione” 2014–2020, University of Perugia). Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2024",
month = feb,
doi = "10.1007/s00010-023-00985-8",
language = "English",
volume = "98",
pages = "333--346",
journal = "Aequationes Mathematicae",
issn = "0001-9054",
publisher = "Birkhauser Verlag Basel",
number = "1",
}