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There is a one-to-one correspondence between $\ell$-quasi-cyclic codes over a finite field $\mathbb F_q$ and linear codes over a ring $R = \mathbb F_q[Y]/(Y^m-1)$. Using this correspondence, we prove that every $\ell$-quasi-cyclic self-dual…

Information Theory · Computer Science 2012-01-31 Sunghyu Han , Jon-Lark Kim , Heisook Lee , Yoonjin Lee

We study additive quaternary codes whose parameters are close to those of the extended cyclic [12; 6; 6]4-code or to the quaternary linear codes generated by the elliptic quadric in PG(3; 4) or its dual. In particular we characterize those…

Combinatorics · Mathematics 2018-04-10 Juergen Bierbrauer , Stefano Marcugini , Fernanda Pambianco

Low-discrepancy sequences have seen widespread adoption in computer graphics thanks to their superior convergence rates. Since rendering integrals often comprise products of lower-dimensional integrals, recent work has focused on developing…

Graphics · Computer Science 2025-05-28 Abdalla G. M. Ahmed , Matt Pharr , Victor Ostromoukhov , Hui Huang

Two-dimensional (2D) semiconductors isoelectronic to phosphorene has been drawing much attention recently due to their promising applications for next-generation (opt)electronics. This family of 2D materials contains more than 400 members,…

Mesoscale and Nanoscale Physics · Physics 2017-08-17 Zhen Zhu , Baojuan Dong , Teng Yang , Zhi-Dong Zhang

Binary cyclic codes having large dimensions and minimum distances close to the square-root bound are highly valuable in applications where high-rate transmission and robust error correction are both essential. They provide an optimal…

Information Theory · Computer Science 2025-04-22 Mrinal Kanti Bose , Udaya Parampalli , Abhay Kumar Singh

We present the timing parameters of nine pulsars discovered in a survey of intermediate Galactic latitudes at 1400 MHz with the Parkes radio telescope. Eight of these pulsars possess small pulse periods and period derivatives thought to be…

Astrophysics · Physics 2009-11-06 R. T. Edwards , M. Bailes

This paper studies the coherent and non-coherent multiuser multiple-input multiple-output (MU-MIMO) uplink system in the finite blocklength regime. The i.i.d. Gaussian codebook is assumed for each user. To be more specific, the BS first…

Information Theory · Computer Science 2022-10-04 Junjuan Feng , Hien Quoc Ngo , Michail Matthaiou

In this letter, we propose a novel construction of type-II $Z$-complementary code set (ZCCS) having arbitrary sequence length using the Kronecker product between a complete complementary code (CCC) and mutually orthogonal uni-modular…

Information Theory · Computer Science 2024-05-15 Rajen Kumar , Sushant Kumar Jha , Prashant Kumar Srivastava , Sudhan Majhi

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang

Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance plays a vital role in determining the error-correcting capability and the constructions of symbol-pair codes with…

Information Theory · Computer Science 2022-06-22 Junru Ma , Jinquan Luo

We develop signal capture and analysis techniques for precisely extracting and characterizing the frame timing of the Starlink constellation's Ku-band downlink transmissions. The aim of this work is to determine whether Starlink frame…

Signal Processing · Electrical Eng. & Systems 2026-02-06 Wenkai Qin , Andrew M. Graff , Zachary L. Clements , Zacharias M. Komodromos , Todd E. Humphreys

We present new constructions of binary quantum codes from quaternary linear Hermitian self-dual codes. Our main ingredients for these constructions are nearly self-orthogonal cyclic or duadic codes over F_4. An infinite family of…

Information Theory · Computer Science 2022-11-03 Reza Dastbasteh , Petr Lisonek

In this paper, we construct self-dual codes from a construction that involves 2x2 block circulant matrices, group rings and a reverse circulant matrix. We provide conditions whereby this construction can yield self-dual codes. We construct…

Rings and Algebras · Mathematics 2020-02-25 Joe Gildea , Abidin Kaya , Rhian Taylor , Alexander Tylyshchak

The main result here is a characterisation of binary $2$-neighbour-transitive codes with minimum distance at least $5$ via their minimal subcodes, which are found to be generated by certain designs. The motivation for studying this class of…

Combinatorics · Mathematics 2018-07-27 Daniel R. Hawtin , Cheryl E. Praeger

This paper (Part of the content of this manuscript has been accepted for presentation in IEEE Globecom 2008, to be held in New Orleans) deals with low maximum likelihood (ML) decoding complexity, full-rate and full-diversity space-time…

Information Theory · Computer Science 2008-09-04 K. Pavan Srinath , B. Sundar Rajan

Partial spread is important in finite geometry and can be used to construct linear codes. From the results in (Designs, Codes and Cryptography 90:1-15, 2022) by Xia Li, Qin Yue and Deng Tang, we know that if the number of the elements in a…

Information Theory · Computer Science 2023-05-10 W. Lu , X. Wu , X. W. Cao , G. J. Luo , X. P. Qin

Quantum low-density parity-check (QLDPC) codes offer a promising route to scalable fault-tolerant quantum computation, but their performance under iterative decoding is strongly influenced by short-cycle structure and other harmful…

Information Theory · Computer Science 2026-05-05 Anthony Gómez-Fonseca , Gretchen L. Matthews , Kirsten D. Morris , Tefjol Pllaha

In this study we present photometric and spectroscopic variation analysis and orbital period study of a low-mass interacting system OO Aql. Simultaneous solution of the light and radial velocity curves provide us a determination of new set…

Solar and Stellar Astrophysics · Physics 2015-06-15 Tuğçe İçli , Dolunay Koçak , G. Çisem Boz , Kadri Yakut

A constant-amplitude code is a code that reduces the peak-to-average power ratio (PAPR) in multicode code-division multiple access (MC-CDMA) systems to the favorable value 1. In this paper quaternary constant-amplitude codes (codes over…

Information Theory · Computer Science 2009-09-24 Kai-Uwe Schmidt

In this paper, the quasi-constant modulus (QCM) property is analyzed and leveraged in the design of nonlinearity-tolerant four-dimensional (4D) modulation formats. Accordingly, we propose a family of QCM-based quadrature amplitude…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Junzhe Xiao , Zekun Niu , Lyu Li , Minghui Shi , Weisheng Hu , Lilin Yi
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