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20042019
most citedQuantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}

287 citations · 1.1k across the 26 of their papers we have counts for

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Showing 2007Show all

5 papers · 1 filter

quant-ph2007★ 244 cited

Multidimensional reconciliation for continuous-variable quantum key distribution

Anthony Leverrier, Romain Alléaume, Joseph Boutros +2

We propose a method for extracting an errorless secret key in a continuous-variable quantum key distribution protocol, which is based on Gaussian modulation of coherent states and…

cs.IT2007★ 119 cited

Low-Density Parity-Check Codes for Nonergodic Block-Fading Channels

Joseph J. Boutros, Albert Guillen i Fabregas, Ezio Biglieri +1

We solve the problem of designing powerful low-density parity-check (LDPC) codes with iterative decoding for the block-fading channel. We first study the case of maximum-likelihood…

cs.IT2007★ 25 cited

Asymptotic improvement of the Gilbert-Varshamov bound for linear codes

Philippe Gaborit, Gilles Zemor

The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1) where V(n,d) stands for the…

cs.CR2007★ 80 cited

Optimal Iris Fuzzy Sketches

J. Bringer, H. Chabanne, G. Cohen +2

Fuzzy sketches, introduced as a link between biometry and cryptography, are a way of handling biometric data matching as an error correction issue. We focus here on iris biometrics…

math.NT2007

On Some Subgroup Chains Related to Kneser's Theorem

Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor

A recent result of Balandraud shows that for every subset S of an abelian group G, there exists a non trivial subgroup H such that |TS| <= |T|+|S|-2 holds only if the stabilizer of…