Concept

Code de Golay

Publications associées (41)

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Phase Transitions for Mutual Information

Mohammad Amin Shokrollahi, Krishna Kumar, Amir Hesam Salavati, Raj Kumar Krishna Kumar

We consider ensembles of binary linear error correcting codes, obtained by sampling each column of the generator matrix G or parity check matrix H independently from the set of all binary vectors of weight d (of appropriate dimension). We investigate the c ...

IEEE2010

Joint Identity-Message Coding for Sensor Networks

Christina Fragouli, Suhas Diggavi, Lorenzo Keller, Mahdi Jafari Siavoshani

In a significant class of sensor-network applications, the identities of the reporting sensors constitute the bulk of the communicated data, whereas the message itself can be as small as a single bit—for instance, in many cases, sensors are used to detect ...

Institute of Electrical and Electronics Engineers2010

Function computation via subspace coding

Christina Fragouli, Nikhil Karamchandani

This paper considers function computation in a network where intermediate nodes perform randomized network coding, through appropriate choice of the subspace codebooks at the source nodes. Unlike traditional network coding for computing functions, that req ...

2010

Function computation via subspace coding

Christina Fragouli, Lorenzo Keller, Nikhil Karamchandani

2010

Compressed network coding vectors

Christina Fragouli, Lorenzo Keller, Mahdi Jafari Siavoshani

In networks that employ network coding, two main approaches have been proposed in the literature to allow the receivers to recover the source information: (i) use of coding vectors, that keep track of the linear combinations the received packets contain, a ...

2009

Source and channel coding using Fountain codes

Bertrand Ndzana Ndzana

The invention of Fountain codes is a major advance in the field of error correcting codes. The goal of this work is to study and develop algorithms for source and channel coding using a family of Fountain codes known as Raptor codes. From an asymptotic poi ...

EPFL2009

Network coding for dynamically changing networks

Christina Fragouli

We here advocate the case for network coding as a guiding paradigm for the operation of networks that vary in a small time frame, due to node mobility, channel variations, and varying traffic conditions. Three ideas that appeared succesively in time brough ...

2008

Protection of data from erasures using subsymbol based codes

Mohammad Amin Shokrollahi

An encoder uses output symbol subsymbols to effect or control a tradeoff of computational effort and overhead efficiency to, for example, greatly reduce computational effort for the cost of a small amount of overhead efficiency. An encoder reads an ordered ...

2008

On the Minimum Distance of Non Binary LDPC Codes

Rethnakaran Pulikkoonattu

Minimum distance is an important parameter of a linear error correcting code. For improved performance of binary Low Density Parity Check (LDPC) codes, we need to have the minimum distance grow fast with n, the codelength. However, the best we can hope for ...

2008

Cryptography based on error correcting codes

Lorenz Minder

The idea to use error-correcting codes in order to construct public key cryptosystems was published in 1978 by McEliece [ME1978]. In his original construction, McEliece used Goppa codes, but various later publications suggested the use of different familie ...

EPFL2007