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The performance of a Turbo code with short block length depends critically on the interleaver design. There are two major criteria in the design of an interleaver: the distance spectrum of the code and the correlation between the…

Combinatorics · Mathematics 2007-07-16 H. R. Sadjadpour , N. J. A. Sloane , M. Salehi , G. Nebe

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are of particular interest because they admit analytical designs and simple, practical hardware implementation.…

Information Theory · Computer Science 2016-11-17 Oscar Y. Takeshita

The structure and size of the interleaver used in a turbo code critically affect the distance spectrum and the covariance property of a component decoder's information input and soft output. This paper introduces a new class of…

Information Theory · Computer Science 2009-09-29 Yan-Xiu Zheng , Yu T. Su

Conventional turbo codes (CTCs) usually employ a block-oriented interleaving so that each block is separately encoded and decoded. As interleaving and de-interleaving are performed within a block, the message-passing process associated with…

Information Theory · Computer Science 2007-07-13 Yan-Xiu Zheng , Yu T. Su

We present an interleaving scheme that yields quasi-cyclic turbo codes. We prove that randomly chosen members of this family yield with probability almost 1 turbo codes with asymptotically optimum minimum distance, i.e. growing as a…

Information Theory · Computer Science 2007-07-16 Joseph Boutros , Gilles Zémor

An interleaver is a critical component for the channel coding performance of turbo codes. Algebraic constructions are important because they admit analytical designs and simple, practical hardware implementation. The spread factor of an…

Information Theory · Computer Science 2016-11-17 Oscar Y. Takeshita

Parameter recovering of channel codes is important in applications such as cognitive radio. The main task for that of a turbo code is to recover the interleaver. The existing optimal algorithm recovers interleaver parameters incrementally…

Information Theory · Computer Science 2016-05-18 Peidong Yu , Hua Peng , Jing Li

In this paper a discussion of the detailed operation of the interleavers used by the turbo codes defined on the telecommunications standards cdma2000 (3GPP2 C.S0024-B V2.0) and W-CDMA (3GPP TS 25.212 V7.4.0) is presented. Differences in the…

Information Theory · Computer Science 2008-02-07 Fabio G. Guerrero , Maribell Sacanamboy

In this paper, we consider coding of short data frames (192 bits) by IRA codes. A new interleaver for the IRA codes based on a Gruenbaum graph is proposed. The difference of the proposed algorithm from known methods consists in the…

Information Theory · Computer Science 2017-01-10 Alexander Zhdanov

We present a novel algorithm that solves the turbo code LP decoding problem in a fininte number of steps by Euclidean distance minimizations, which in turn rely on repeated shortest path computations in the trellis graph representing the…

Information Theory · Computer Science 2014-03-18 Michael Helmling , Stefan Ruzika

Given a hypergraph $\mathcal{H}$, we introduce a new class of evaluation toric codes called edge codes derived from $\mathcal{H}$. We analyze these codes, focusing on determining their basic parameters. We provide estimations for the…

Commutative Algebra · Mathematics 2024-04-04 Delio Jaramillo-Velez

In this paper an improved method for searching good interleavers from a certain set is proposed. The first few terms, corresponding to maximum distance of approximately 40 of the distance spectra, for turbo codes using these interleavers…

Information Theory · Computer Science 2012-03-08 Lucian Trifina , Daniela Tarniceriu

In this paper, we study turbo codes from the digital signal processing point of view by defining turbo codes over the complex field. It is known that iterative decoding and interleaving between concatenated parallel codes are two key…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Xiang-Gen Xia

Two classes of turbo codes over high-order finite fields are introduced. The codes are derived from a particular protograph sub-ensemble of the (dv=2,dc=3) low-density parity-check code ensemble. A first construction is derived as a…

Information Theory · Computer Science 2016-11-17 Gianluigi Liva , Enrico Paolini , Sandro Scalise , Marco Chiani

The effects of the odd-even constraint - as an interleaver design criterion - on the performance of rate-1/2 binary turbo codes are revisited. According to the current understanding, its adoption is favored because it makes the information…

Information Theory · Computer Science 2016-11-15 Konstantinos S. Arkoudogiannis , Christos E. Dimakis , Konstantinos V. Koutsouvelis

In this paper the ensemble of codes formed by a serial concatenation of a repetition code with multiple accumulators connected through random interleavers is considered. Based on finite length weight enumerators for these codes, asymptotic…

Information Theory · Computer Science 2008-10-21 Joerg Kliewer , Kamil S. Zigangirov , Christian Koller , Daniel J. Costello

It is well known that 3--regular graphs with arbitrarily large girth exist. Three constructions are given that use the former to produce non-Hamiltonian 3--regular graphs without reducing the girth, thereby proving that such graphs with…

Combinatorics · Mathematics 2019-02-28 Michael Haythorpe

We define multi-block interleaved codes as codes that allow reading information from either a small sub-block or from a larger full block. The former offers faster access, while the latter provides better reliability. We specify the…

Information Theory · Computer Science 2017-01-26 Yuval Cassuto , Evyatar Hemo , Sven Puchinger , Martin Bossert

In this work, we consider the minimum distance properties and convergence thresholds of 3-dimensional turbo codes (3D-TCs), recently introduced by Berrou et al.. Here, we consider binary 3D-TCs while the original work of Berrou et al.…

Information Theory · Computer Science 2015-03-19 Eirik Rosnes , Alexandre Graell i Amat

Turbo code is a great achievement in the field of communication system. It can be created by connecting a turbo encoder and a decoder serially. A Turbo encoder is build with parallel concatenation of two simple convolutional codes. By…

Information Theory · Computer Science 2010-05-31 Akash Kumar Gupta , Sanjeet Kumar
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