Journal ArticleDOI
Modular curves, Shimura curves, and Goppa codes, better than Varshamov‐Gilbert bound
Reads0
Chats0
About:
This article is published in Mathematische Nachrichten.The article was published on 1982-01-01. It has received 537 citations till now. The article focuses on the topics: Modular elliptic curve & Modular curve.read more
Citations
More filters
Journal ArticleDOI
Improved decoding of Reed-Solomon and algebraic-geometry codes
Venkatesan Guruswami,Madhu Sudan +1 more
TL;DR: An improved list decoding algorithm for decoding Reed-Solomon codes and alternant codes and algebraic-geometry codes is presented and a solution to a weighted curve-fitting problem is presented, which may be of use in soft-decision decoding algorithms for Reed- Solomon codes.
Book
Algebraic Codes for Data Transmission
TL;DR: This paper presents codes and algorithms for majority decoding based on the Fourier transform, as well as algorithms based on graphs, for linear block codes and beyond BCH codes.
Proceedings ArticleDOI
Improved decoding of Reed-Solomon and algebraic-geometric codes
Venkatesan Guruswami,Madhu Sudan +1 more
TL;DR: An improved list decoding algorithm for decoding Reed-Solomon codes and alternant codes and algebraic-geometric codes is presented, including a solution to a weighted curve fitting problem, which is of use in soft-decision decoding algorithms for Reed- Solomon codes.
Book
Secure Multiparty Computation and Secret Sharing
TL;DR: This text is the first to present a comprehensive treatment of unconditionally secure techniques for multiparty computation (MPC) and secret sharing, focusing on asymptotic results with interesting applications related to MPC.
Journal ArticleDOI
Channel Coding: The Road to Channel Capacity
G.D. Forney,D.J. Costello +1 more
TL;DR: The contributions that have led to the most significant improvements in performance versus complexity for practical applications are focused on, particularly on the additive white Gaussian noise channel.
References
More filters
Book ChapterDOI
Les Schémas de Modules de Courbes Elliptiques
Pierre Deligne,Michael Rapoport +1 more
TL;DR: In this paper, the structure a linfini and the reduction modulo p de X/Γ were studied, where p is the complement of a sous-groupe d'un ensemble fini de points in Riemann compacte.
Journal Article
Über die schlechte Reduktion einiger Shimuramannigfaltigkeiten
TL;DR: Improved apparatus for injecting vapors, such as water vapor in the form of low temperature low pressure steam, into the intake manifold of an internal combustion engine is described in this paper.