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ASIACRYPT
2001
Springer
15 years 4 months ago
Efficient Zero-Knowledge Authentication Based on a Linear Algebra Problem MinRank
A Zero-knowledge protocol provides provably secure entity authentication based on a hard computational problem. Among many schemes proposed since 1984, the most practical rely on f...
Nicolas Courtois
CORR
2008
Springer
115views Education» more  CORR 2008»
15 years 24 days ago
Lower Bounds on the Rate-Distortion Function of LDGM Codes
Abstract-- We analyze the performance of low-density generator matrix (LDGM) codes for lossy source coding. We first develop a generic technique for deriving lower bounds on the ef...
Alexandros G. Dimakis, Martin J. Wainwright, Kanna...
97
Voted
CORR
2004
Springer
111views Education» more  CORR 2004»
15 years 17 days ago
Maximum-likelihood decoding of Reed-Solomon Codes is NP-hard
Maximum-likelihood decoding is one of the central algorithmic problems in coding theory. It has been known for over 25 years that maximum-likelihood decoding of general linear cod...
Venkatesan Guruswami, Alexander Vardy
105
Voted
CORR
2011
Springer
142views Education» more  CORR 2011»
14 years 4 months ago
On the Locality of Codeword Symbols
Consider a linear [n, k, d]q code C. We say that that i-th coordinate of C has locality r, if the value at this coordinate can be recovered from accessing some other r coordinates...
Parikshit Gopalan, Cheng Huang, Huseyin Simitci, S...
COCO
2011
Springer
217views Algorithms» more  COCO 2011»
14 years 16 days ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin