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Due to some practical applications, linear complementary dual (LCD) codes and self-orthogonal codes have attracted wide attention in recent years. In this paper, we use simplicial complexes for construction of an infinite family of binary…

Information Theory · Computer Science 2020-03-18 Yansheng Wu , Yoonjin Lee

This letter presents a dual quadrature phasemeter, an implementation of a phase-locked loop designed to track the phase of homodyne and heterodyne inter-satellite laser links. The dual quadrature phasemeters use dual quadrature optical…

Optics · Physics 2024-10-30 Callum S. Sambridge , Kirk McKenzie

The two objects 1SWASP J150822.80-054236.9 and 1SWASP J160156.04+202821.6 were initially detected from their SuperWASP archived light curves as candidate eclipsing binaries with periods close to the short-period cut-off of the orbital…

Solar and Stellar Astrophysics · Physics 2014-03-07 M. E. Lohr , S. T. Hodgkin , A. J. Norton , U. C. Kolb

We consider the design of regenerating codes for distributed storage systems at the minimum bandwidth regeneration (MBR) point. The codes allow for a repair process that is exact and uncoded, but table-based. These codes were introduced in…

Information Theory · Computer Science 2012-11-19 Oktay Olmez , Aditya Ramamoorthy

A Fosters equivalent circuit for 2-D Planar Periodic Structures (PPSs) that exhibit an arbitrary geometry is presented for first time in this paper. The proposed 4-port network shows an invariant circuit topology to the PPS geometry and is…

Applied Physics · Physics 2024-02-07 Gerardo Perez-Palomino , Juan E Page

We devise an analytically simple as well as invertible approximate expression, which describes the relation between the minimum distance of a binary code and the corresponding maximum attainable code-rate. For example, for a rate-(1/4),…

Information Theory · Computer Science 2012-06-29 Yosef Akhtman , Robert G. Maunder , Lajos Hanzo

In this work we demonstrate a proof of concept of a fully-wireless two-node open-loop coherent distributed communication system and evaluate its performance by transmitting QPSK , 64-, and 256-QAM constellations at a symbol rate of 2 MBd…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Jason M. Merlo , Jeffrey A. Nanzer

Maximum distance separable (MDS) codes and near MDS (NMDS) codes are of particular interest in coding theory due to their optimal error-correcting capabilities and wide applications in communication, cryptography, and storage systems. A…

Information Theory · Computer Science 2026-05-13 Yang Li , Zhenliang Lu , San Ling , Kwok-Yan Lam

A design of rate-compatible polar codes suitable for HARQ communications is proposed in this paper. An important feature of the proposed design is that the puncturing order is chosen with low complexity on a base code of short length, which…

Information Theory · Computer Science 2015-09-01 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Hessam Mahdavifar , Inyup Kang

This paper proposes a low decoding complexity, full-diversity and full-rate space-time block code (STBC) for 4 transmit and 2 receive ($4\times 2$) multiple-input multiple-output (MIMO) systems. For such systems, the best code known is the…

Information Theory · Computer Science 2008-06-12 K. Pavan Srinath , B. Sundar Rajan

Recently, minimal linear codes have been extensively studied due to their applications in secret sharing schemes, two-party computations, and so on. Constructing minimal linear codes violating the Ashikhmin-Barg condition and then…

Information Theory · Computer Science 2021-11-23 Haibo Liu Qunying Liao , Canze Zhu

We present a general method for determining the masses and orbital parameters of binary millisecond pulsars with long orbital periods (P_orb >> 1 yr), using timing data in the form of pulse frequency derivatives. We apply our method to…

Astrophysics · Physics 2009-10-28 K. J. Joshi , F. A. Rasio

Linear codes with a few weights have many nice applications including combinatorial design, distributed storage system, secret sharing schemes and so on. In this paper, we construct two families of linear codes with a few weights based on…

Information Theory · Computer Science 2022-10-12 Ziling Heng , Xinran Wang , Xiaoru Li

Research on codes over finite rings has intensified since the discovery in 1994 of the fact that some best binary non-linear codes can be obtained as images of $\mathbb{Z}_4$-linear codes. Codes over many different finite rings has been a…

Information Theory · Computer Science 2022-08-16 Nuh Aydin , Yiang Lu , Vishad R. Onta

Motivated by the application of high-density data storage technologies, symbol-pair codes are proposed to protect against pair-errors in symbol-pair channels, whose outputs are overlapping pairs of symbols. The research of symbol-pair codes…

Information Theory · Computer Science 2016-06-14 Baokun Ding , Gennian Ge , Jun Zhang , Tao Zhang , Yiwei Zhang

Minimum Description Length (MDL) estimators, using two-part codes for universal coding, are analyzed. For general parametric families under certain regularity conditions, we introduce a two-part code whose regret is close to the minimax…

Information Theory · Computer Science 2023-11-08 Kohei Miyamoto , Andrew R. Barron , Jun'ichi Takeuchi

Certain applications require the use of signals that combine both the capability to operate with low signal-to-noise ratios and the ability to support multiple users without interference. In the case where many users have very different…

Information Theory · Computer Science 2021-03-10 Patricio G. Donato , Matias N. Hadad , Marcos A. Funes

Polar codes are a class of capacity-achieving error correcting codes that have been selected for use in enhanced mobile broadband in the 3GPP 5th generation (5G) wireless standard. Most polar code research examines the original Arikan polar…

Information Theory · Computer Science 2019-07-17 Adam Cavatassi , Thibaud Tonnellier , Warren J. Gross

We consider quantum MDS (QMDS) codes for quantum systems of dimension $q$ with lengths up to $q^2+2$ and minimum distances up to $q+1$. We show how starting from QMDS codes of length $q^2+1$ based on cyclic and constacyclic codes, new QMDS…

Quantum Physics · Physics 2016-01-25 Markus Grassl , Martin Roetteler

In this paper, we shed light on how an adaptive, efficient error coding in the transport layer helps ensure the application requirements. We recap the use of MDS codes and show that binary coding can significantly reduce the complexity and…

Information Theory · Computer Science 2022-02-22 Pablo Gil Pereira , Thorsten Herfet