Français
An overview of algebraic geometry codes from surfaces
Multi angle
Authors : Nardi, Jade (Author of the conference)
CIRM (Publisher )
11T71 - Algebraic coding theory; cryptography
14G50 - Applications to coding theory and cryptography - application à la théorie de codes et à la cryptographie
94B05 - Linear codes, general
Additional resources :
https://www.cirm-math.fr/RepOrga/2803/Slides/Nardi_slides.pdf
CIRM (Publisher )
Loading the player...
|
Abstract :
In the field of coding theory, Goppa's construction of error-correcting codes on algebraic curves has been widely studied and applied. As noticed by M. Tsfasman and S. Vlădut¸, this construction can be generalized to any algebraic variety. This talk aims to shed light on the case of surfaces and expand the understanding of Goppa's construction beyond curves. After discussing the motivations for considering codes from higher–dimensional varieties, we will compare and contrast codes from curves and codes from surfaces, notably regarding the computation of their parameters, their local properties, and asymptotic constructions.
Keywords : algebraic geometry codes; varieties over finite fields; coding theory
MSC Codes : Keywords : algebraic geometry codes; varieties over finite fields; coding theory
11T71 - Algebraic coding theory; cryptography
14G50 - Applications to coding theory and cryptography - application à la théorie de codes et à la cryptographie
94B05 - Linear codes, general
Additional resources :
https://www.cirm-math.fr/RepOrga/2803/Slides/Nardi_slides.pdf
|
Information on the Video
Film maker : Petit, JeanLanguage : English Available date : 06/03/2023 Conference Date : 14/02/2023 Subseries : Research talks arXiv category : Algebraic Geometry ; Information Theory Mathematical Area(s) : Computer Science ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:09:00 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2023-02-14_Nardi.mp4 
|
Information on the Event
Event Title : COGNACEvent Organizers : Aubry, Yves ; Ballet, Stéphane ; Cardinali, Ilaria ; Gorla, Elisa Dates : 13/02/2023 - 17/02/2023 Event Year : 2023 Event URL : https://conferences.cirm-math.fr/2803.html
Citation Data
DOI : 10.24350/CIRM.V.20001803Cite this video as: Nardi, Jade (2023). An overview of algebraic geometry codes from surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20001803 URI : http://dx.doi.org/10.24350/CIRM.V.20001803 |
See Also
- [Multi angle] Factoring polynomials over function fields / Author of the conference Voloch, José Felipe.
- [Multi angle] Asymptotic distribution of Frobenius roots for curves and abelian varieties over a finite field / Author of the conference Tsfasman, Michael.
- [Multi angle] Algebraic curves with many rational points over finite fields / Author of the conference Montanucci, Maria.
- [Multi angle] Lower bound on the maximal number of rational points on curves over finite fields / Author of the conference Lorenzo Garcia, Elisa.
Bibliography
Imagette Video
