Reed–Muller codes are a family of linear error-correcting codes used in communications. Reed–Muller codes belong to the classes of locally testable… (More)

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Highly Cited

2008

Highly Cited

2008

- E. Arkan
- IEEE Communications Letters
- 2008

Polar coding is a code construction method that can be used to construct capacity-achieving codes for binary-input channels with… (More)

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Highly Cited

2005

Highly Cited

2005

- Noga Alon, Tali Kaufman, Michael Krivelevich, Simon Litsyn, Dana Ron
- IEEE Transactions on Information Theory
- 2005

A code is locally testable if there is a way to indicate with high probability that a vector is far enough from any codeword by… (More)

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2005

2005

- P. K. Sarvepalli, Andreas Klappenecker
- Proceedings. International Symposium on…
- 2005

We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these… (More)

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2005

2005

- Joaquim Borges, Cristina Fernandez, Kevin T. Phelps
- IEEE Transactions on Information Theory
- 2005

The class of quaternary Reed-Muller codes is introduced as a generalization of Reed-Muller codes to /spl Zopf//sub 4/-linear… (More)

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Highly Cited

2001

Highly Cited

2001

- Amnon Ta-Shma, David Zuckerman, Shmuel Safra
- FOCS
- 2001

Finding explicit extractors is an important derandomization goal that has received a lot of attention in the past decade. This… (More)

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Highly Cited

2000

Highly Cited

2000

- Kenneth G. Paterson
- IEEE Trans. Information Theory
- 2000

Controlling the peak-to-mean envelope power ratio (PMEPR) of Orthogonal Frequency Division Multiplexed (OFDM) transmissions is a… (More)

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Highly Cited

1999

Highly Cited

1999

- James A. Davis, Jonathan Jedwab
- IEEE Trans. Information Theory
- 1999

We present a range of coding schemes for OFDM transmission using binary, quaternary, octary, and higher order modulation that… (More)

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1999

1999

- Andrew M. Steane
- IEEE Trans. Information Theory
- 1999

A set of quantum error correcting codes based on classical Reed-Muller codes is described. The codes have parameters [[n, k, d… (More)

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1986

1986

- Gilles Lachaud
- Coding Theory and Applications
- 1986

R~sum~. On inlroduit une classe de codes lintaires de la famille des codes de Reed-Muller, les codes de Reed-Muller projectifs… (More)

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Highly Cited

1971

Highly Cited

1971

- Tadao Kasami
- Information and Control
- 1971

Recently, a theorem was proved by Berlekamp (1970) which asserts that all sufficiently low weight codewords in certain supercodes… (More)

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