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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Twisted generalized Reed-Solomon codes with twists
扭曲 广义 里德-所罗门代码 RS编码
2023/4/25
Twisted generalized Reed-Solomon (TGRS) codes get much attention recently. In this talk, we focus on a class of TGRS codes with general ?? twists. Conditions to be MDS or self-dual are discussed.
Cryptanalysis of a System Based on Twisted Reed–Solomon Codes
Code-based cryptography McEliece Cryptosystem Subfield Subcodes
2019/4/29
It was recently proved that twisted Reed--Solomon codes represent a family of codes which contain a large amount of MDS codes, non-equivalent to Reed--Solomon codes. As a consequence, they were propos...
Decoding Generalized Reed-Solomon Codes and Its Application to RLCE Encryption Scheme
Reed-Solomon Codes RLCE Encryption Scheme
2017/8/2
This paper compares the efficiency of various algorithms for implementing public key encryption scheme RLCE on 64-bit CPUs. By optimizing various algorithms for polynomial and matrix operations over f...
New Classes of Public Key Cryptosystems over $F_2^8$ Constructed Based on Reed-Solomon Codes, K(XVII)SE(1)PKC and K(XVII)$\Sigma \Pi$PKC
Public Key Cryptosystem Error-Correcting Code Reed-Solomon code
2016/1/8
In this paper, we present new classes of public key cryptosystem over F2
8 based on Reed-Solomon codes,
referred to as K(XVII)SE(1)PKC and K(XVII)ΣΠPKC, a subclass of K(XVII)SE(1)PKC. We show that K...
A New Class of Public Key Cryptosystems Constructed Based on Reed-Solomon Codes, K(XII)SE(1)PKC.-- Along with a presentation of K(XII)SE(1)PKC over the extension field extensively used for present day various storage and transmission systems --
Public Key Cryptosystem Error-Correcting Code
2014/3/12
In this paper, we present a new class of public key cryptosystem based on Reed-Solomon codes, a member of the code based PKC(CBPKC), referred to as K(XII)SE(1)PKC. We show that K(XII)SE(1)PKC can be s...
A parametric approach to list decoding of Reed-Solomon codes using interpolation
list decoding of Reed-Solomon codes interpolation
2010/11/11
In this paper we present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Minimal list decoding for a code $C$ refers to list decoding with radius $L$, where $L$ is the minimum of the d...
Collaborative Decoding of Interleaved Reed-Solomon Codes using Gaussian Elimination
Collaborative Decoding Interleaved Reed-Solomon Codes Gaussian Elimination
2010/12/8
We propose an alternative method for collaborative decoding of interleaved Reed-Solomon codes. Simulation results for a concatenated coding scheme using polar codes as inner codes are included.
Cryptographic Hardness based on the Decoding of Reed-Solomon Codes
Cryptographic Hardness Decoding Reed-Solomon Codes
2008/9/3
We investigate the decoding problem of Reed-Solomon (RS) Codes, also known as
the Polynomial Reconstruction Problem (PR), from a cryptographic hardness perspective.
Namely, we deal with PR instances...
In this paper, the subspace subcodes of generalized Reed-Solomn codes are codes are introduced and the fomulas to compute the dimensions of these codes are given.
中国科学院数学研究所万大庆教授于2005年7月21日（星期四）13:00—15:30来上海交通大学闵行校区数学楼大会议室作题目为《Introduction to Decoding of Reed—Solomon Codes》的学术报告。
