Small-weight codewords of algebraic geometry codes

Alberto Ravagnani

doi:10.1007/s40574-025-00457-8

Small-weight codewords of algebraic geometry codes

Alberto Ravagnani (Corresponding author)

Mathematical Communication Theory

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We present a general method for characterizing the supports of small-weight codewords of algebraic geometry codes. We apply the method to investigate the weight distributions of error-correcting codes constructed from the Hermitian curve and from norm-trace curves, providing closed formulas for several parameter sets. The results presented in this paper draw on E. Ballico’s contributions to the connection between coding theory and algebraic geometry.

Originele taal-2	Engels
Pagina's (van-tot)	779-795
Aantal pagina's	17
Tijdschrift	Bollettino dell'Unione Matematica Italiana
Volume	18
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1007/s40574-025-00457-8
Status	Gepubliceerd - sep. 2025

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© The Author(s) 2025.

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Small-weight codewords of algebraic geometry codes

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