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Mohammad Amin Shokrollahi

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Publications associées (57)

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Methods and apparatus employing FEC codes with permanent inactivation of symbols for encoding and decoding processes

Mohammad Amin Shokrollahi, Lorenz Minder

Encoding of a plurality of encoded symbols is provided wherein an encoded symbol is generated from a combination of a first symbol generated from a first set of intermediate symbols and a second symbol generated from a second set of intermediate symbols, e ...

2016

Cryptanalysis of the Sidelnikov cryptosystem

Mohammad Amin Shokrollahi, Lorenz Minder

We present a structural attack against the Sidelnikov cryptosystem. The attack creats a private key from a give public key. Its running time is subexponential and it is effective if the parameters of the Reed-Muller code allow for efficient sampling of min ...

Springer Verlag2007

Raptor Codes

Mohammad Amin Shokrollahi

LT-codes are a new class of codes introduced by Luby for the purpose of scalable and fault-tolerant distribution of data over computer networks. In this paper, we introduce Raptor codes, an extension of LT-codes with linear time encoding and decoding. We w ...

2006

Neural Pre-coding Increases the Pattern Retrieval Capacity of Hopﬁeld and Bidirectional Associative Memories

Wulfram Gerstner, Mohammad Amin Shokrollahi, Amir Hesam Salavati, Krishna Kumar

We consider the problem of neural association, which deals with the retrieval of a previously memorized pattern from its noisy version. The performance of various neural networks developed for this task may be judged in terms of their pattern retrieval cap ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Systematic encoding and decoding of chain reaction codes

Mohammad Amin Shokrollahi

A method of encoding data into a chain reaction code includes generating a set of input symbols from input data. Subsequently, one or more non-systematic output symbols is generated from the set of input symbols, each of the one or more non-systematic outp ...

2005

Method and apparatus for fast encoding of data symbols according to half-weight codes

Mohammad Amin Shokrollahi

Efficient methods for encoding and decoding Half-Weight codes are disclosed and similar high density codes are disclosed. The efficient methods require at most 3(k-1)+h/2+1 XORs of symbols to calculate h Half-Weight symbols from k source symbols, where h i ...

2010

Multi-stage code generator and decoder for communication systems

Mohammad Amin Shokrollahi

A method of encoding data for transmission from a source to a destination over a communications channel is provided. A plurality of redundant symbols are generated from an ordered set of input symbols to be transmitted. A plurality of output symbols are ge ...

2006

Analysis of the Second Moment of the LT Decoder

Mohammad Amin Shokrollahi, Ghid Maatouk

In this paper, the second moment of the ripple size during the Luby transform (LT) decoding process is analyzed. Combined with a result by Karp et al. (2004) stating that the expectation of the ripple size is of the order of k, our study gives bounds on th ...

2012

Vector signaling codes with high pin-efficiency for chip-to-chip communication and storage

Mohammad Amin Shokrollahi

An alternative type of vector signaling codes having increased pin-efficiency normal vector signaling codes is described. Receivers for these Permutation Modulation codes of Type II use comparators requiring at most one fixed reference voltage. The resulti ...

2016

System and method for reliably communicating the content of a live data stream

Mohammad Amin Shokrollahi

A method for communicating the content of a live data stream to a receiver using a plurality of channels comprising two encoder channels used to encode the live data content prior to transmission. Initially a plurality of segments of a live data stream are ...

2007

A Class of Generalized RS-Codes with Faster Encoding and Decoding Algorithms

Mohammad Amin Shokrollahi

In this paper we study a particular class of generalized Reed-Solomon codes and introduce encoding and decoding algorithms for such codes that speed up current hardware implementations by a factor p wherein p can be any divisor of the size of the multiplic ...

Ieee2013

Repeat-accumulate codes that approach the Gilbert-Varshamov bound

Mohammad Amin Shokrollahi, Andrew Brown

2005

Encoding and decoding using elastic codes with flexible source block mapping

Mohammad Amin Shokrollahi

Data can be encoded by assigning source symbols to base blocks, assigning base blocks to source blocks and encoding each source block into encoding symbols, where at least one pair of source blocks is such they have at least one base block in common with b ...

2016

Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials over a sufficiently large finite field, produces a common zero of the polynom ...

2009

Verification decoding of raptor codes

Mohammad Amin Shokrollahi

2006

Burrows-Wheeler text compression with fountain codes

Mohammad Amin Shokrollahi

This paper presents an algorithm in a purely lossless text compression setting based on fountain codes and the Burrows-Wheeler transform (BWT). The scheme consists of five stages, each of which is briefly described in the paper. The algorithm offers encour ...

2006

Optimal regular LDPC codes for the binary erasure channel

Mohammad Amin Shokrollahi

We prove that for any given R between 0 and 1 the best threshold value for a regular LDPC code of rate R with common variable degree v and common check degree c occurs when v is at least 3 and is minimal subject to the condition

R=1-v/c

...

2005