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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. Also, the…

Information Theory · Computer Science 2015-03-19 Eirik Rosnes

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

Quadratic permutation polynomials (QPPs) have been widely studied and used as interleavers in turbo codes. However, less attention has been given to cubic permutation polynomials (CPPs). This paper proves a theorem which states sufficient…

Information Theory · Computer Science 2015-03-13 Lucian Trifina , Daniela Tarniceriu

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

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

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

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. Sun and…

Information Theory · Computer Science 2007-07-13 Jonghoon Ryu , Oscar Y. Takeshita

Quadratic permutation polynomial interleavers over integer rings have recently received attention in practical turbo coding systems from deep space applications to mobile communications. In this correspondence, a necessary and sufficient…

Information Theory · Computer Science 2011-02-11 Jonghoon Ryu , Oscar Y. Takeshita

This paper presents a pioneering study based on a series of experiments on the operation of commercial Time-Division Long-Term Evolution (TD-LTE) systems in the presence of pulsed interfering signals in the 3550-3650 MHz band. TD-LTE…

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

High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware architectures for long polynomial modular multiplication using…

Hardware Architecture · Computer Science 2024-03-21 Weihang Tan , Sin-Wei Chiu , Antian Wang , Yingjie Lao , Keshab K. Parhi

Multipath TCP (MPTCP) is a standardized TCP extension which allows end-hosts to simultaneously exploit all of their network interfaces. The recent proliferation of dual-SIM mobile phones makes multi-LTE MPTCP setup an attractive option. We…

Networking and Internet Architecture · Computer Science 2019-09-09 Nitinder Mohan , Tanya Shreedhar , Aleksandr Zavodovski , Jussi Kangasharju , Sanjit K. Kaul

It has previously been established that the logarithmic-depth approximate quantum Fourier transform (AQFT) provides a suitable replacement for the regular QFT in many quantum algorithms. Since the AQFT is less accurate by definition,…

Quantum Physics · Physics 2007-05-23 Donny Cheung

Given L-qubit states with the fixed spectra of reduced one-qubit density matrices, we find a formula for the minimal number of invariant polynomials needed for solving local unitary (LU) equivalence problem, that is, problem of deciding if…

Quantum Physics · Physics 2014-07-18 Tomasz Maciazek , Michał Oszmaniec , Adam Sawicki

In this paper, we consider methods to compute the coefficients of interpolants relative to a basis of polynomials satisfying a three-term recurrence relation. Two new algorithms are presented: the first constructs the coefficients of the…

Numerical Analysis · Computer Science 2010-03-31 Pedro Gonnet

We propose a new class of information-coupled (IC) Turbo codes to improve the transport block (TB) error rate performance for long-term evolution (LTE) systems, while keeping the hybrid automatic repeat request protocol and the Turbo…

Information Theory · Computer Science 2017-09-21 Lei Yang , Yixuan Xie , Xiaowei Wu , Jinhong Yuan , Xingqing Cheng , Lei Wan

A new construction is proposed for low density parity check (LDPC) codes using quadratic permutation polynomials over finite integer rings. The associated graphs for the new codes have both algebraic and pseudo-random nature, and the new…

Information Theory · Computer Science 2007-07-13 Oscar Y. Takeshita

Some families of linear permutation polynomials of $\mathbb{F}_{q^{ms}}$ with coefficients in $\mathbb{F}_{q^{m}}$ are explicitly described (via conditions on their coefficients) as isomorphic images of classical subgroups of the general…

Representation Theory · Mathematics 2023-06-07 Elías Javier García Claro , Gustavo Terra Bastos

In this article, we study the problem of finding the longest common separable pattern between several permutations. We give a polynomial-time algorithm when the number of input permutations is fixed and show that the problem is NP-hard for…

Combinatorics · Mathematics 2007-06-13 Mathilde Bouvel , Dominique Rossin , Stephane Vialette

When researchers ask whether two transformer layers are "equivalent" for compression, they often conflate distinct tests. Replacement asks whether one layer's map can substitute for another's in place; interchange asks whether two layers…

Machine Learning · Computer Science 2026-05-19 Gabriel Garcia
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