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- Alexander Vardy, Yair Be'ery
- IEEE Trans. Communications
- 1991

HE practical importance of Reed-Solomon codes is well established (see [1]-[7]). The application of Reed-Solomon codes spans from deep-space communication standard [2] -[4] and over the air teletext broadcast [5] to frequency-hop spreadspectrum systems [6] and optical communication [7]. Harddecision decoders for RS codes are readily available… (More)

- Alexander Vardy, Yair Be'ery
- IEEE Trans. Information Theory
- 1994

The problem of efficient maximum-likelihood soft decision decoding of binary BCH codes is considered. It is known that those primitive BCH codes whose designed distance is one less than a power of two, contain subcodes of high dimension which consist of a direct sum of several identical codes. We show that the same kind of direct-sum structure exists in all… (More)

- Jakov Snyders, Yair Be'ery
- IEEE Trans. Information Theory
- 1989

- Alexander Vardy, Yair Be'ery
- IEEE Trans. Information Theory
- 1991

- Eliya Nachmani, Yair Be'ery, David Burshtein
- 2016 54th Annual Allerton Conference on…
- 2016

A novel deep learning method for improving the belief propagation algorithm is proposed. The method generalizes the standard belief propagation algorithm by assigning weights to the edges of the Tanner graph. These edges are then trained using deep learning techniques. A well-known property of the belief propagation algorithm is the independence of the… (More)

- Samuel Ouzan, Yair Be'ery
- ArXiv
- 2009

We propose a new type of short to moderate block-length, linear error-correcting codes, called moderate-density parity-check (MDPC) codes. The number of one’s of the parity-check matrix of the codes presented is typically higher than the number of one’s of the parity-check matrix of low-density paritycheck (LDPC) codes. But, still lower than those of the… (More)

- Ofer Amrani, Yair Be'ery, Alexander Vardy, Feng-Wen Sun, Henk C. A. van Tilborg
- IEEE Trans. Information Theory
- 1994

Abstmct-Multilevel constructions of the binary Golay code and the Leech lattice are described. Both constructions are based upon the prvjection of the Golay code and the Leech lattice onto the (6,3,4) hexacode over GF(4). However, unlike the previously reported constructiods, the new multilevel constructions make the three levels independent by way of using… (More)

- Yuval Berger, Yair Be'ery
- IEEE Trans. Information Theory
- 1993

- Alexander Vardy, Yair Be'ery
- IEEE Trans. Information Theory
- 1993

- Ilan Reuven, Yair Be'ery
- IEEE Trans. Information Theory
- 1998

In this paper, the trellis representation of nonlinear codes is studied from a new perspective. We introduce the new concept of entropy/length profile (ELP). This profile can be considered as an extension of the dimension/length profile (DLP) to nonlinear codes. This elaboration of the DLP, the entropy/length profiles, appears to be suitable to the analysis… (More)