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ASIACRYPT
2001
Springer
13 years 11 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»
13 years 8 months 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...
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 8 months 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
CORR
2011
Springer
142views Education» more  CORR 2011»
12 years 11 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»
12 years 7 months 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