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Title: Esquemes de compartició de secrets amb corbes el·líptiques
Author: Gutiérrez Silva, Adrián
Director/Tutor: Dieulefait, L. V. (Luis Victor)
Keywords: Xifratge (Informàtica)
Corbes el·líptiques
Teoria de la codificació
Treballs de fi de grau
Data encryption (Computer science)
Elliptic curves
Coding theory
Bachelor's theses
Issue Date: 17-Jan-2024
Abstract: [en] In this thesis, we provide a didactic introduction to pairing-based cryptography with elliptic curves, following the premises and methodologies outlined in Lawrence C. Washington’s book Elliptic Curves, Number Theory, and Cryptography. We introduce the algebraic structure of the curve and subsequently, we delve into the key concept of pairing, exploring its applications in the field of computer security. The distinctive element of this work is the presentation and analysis of a cryptographic secret sharing scheme titled Conjunctive Hierarchical Multi-Secret Sharing Scheme using Elliptic Curves, developed by Mohan Chintamani, Prabal Paul, and Laba Sa. With this contribution, we delve into the properties of elliptic curves and pairing, providing a deeper understanding of contemporary cryptographic techniques and their applications.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2024, Director: L. V. Dieulefait
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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