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Self-orthogonal codes are a subclass of linear codes that are contained within their dual codes. Since self-orthogonal codes are widely used in quantum codes, lattice theory and linear complementary dual (LCD) codes, they have received…

Information Theory · Computer Science 2024-11-12 Yaozong Zhang , Dabin Zheng , Xiaoqiang Wang

Self-orthogonal codes are of interest as they have important applications in quantum codes, lattices and many areas. In this paper, based on the weakly regular plateaued functions or plateaued Boolean functions, we construct a family of…

Information Theory · Computer Science 2024-11-08 Peng Wang , Ziling Heng

Optical orthogonal signature pattern codes (OOSPCs) have attracted wide attention as signature patterns of spatial optical code division multiple access networks. In this paper, an improved upper bound on the size of an…

Combinatorics · Mathematics 2019-09-04 Rong Pan , Tao Feng , Lidong Wang , Xiaomiao Wang

The probabilistic shaping scheme from Honda and Yamamoto (2013) for polar codes is used to enable power-efficient signaling for on-off keying (OOK). As OOK has a non-symmetric optimal input distribution, shaping approaches that are based on…

Information Theory · Computer Science 2019-07-22 Thomas Wiegart , Fabian Steiner , Patrick Schulte , Peihong Yuan

Recently, the notions of self-orthogonal subspace codes and LCD subspace codes were introduced, and LCD subspace codes obtained from mutually unbiased weighing matrices were studied. In this paper, we provide a method of constructing…

Combinatorics · Mathematics 2024-07-09 Dean Crnković , Keita Ishizuka , Hadi Kharaghani , Sho Suda , Andrea Švob

Visible light communication (VLC) has been recognized as a promising technology for handling the continuously increasing quality of service and connectivity requirements in modern wireless communications, particularly in indoor scenarios.…

Information Theory · Computer Science 2021-11-09 Shimaa Naser , Lina Bariah , Sami Muhaidat , Mahmoud Al-Qutayri , Murat Uysal , Paschalis C. Sofotasios

The study of optical orthogonal codes has been motivated by an application in an optical code-division multiple access system. This paper focuses on optimal two-dimensional optical orthogonal codes with autocorrelation and cross-correlation…

Combinatorics · Mathematics 2026-02-24 Xiuling Shan , Lidong Wang , Yanxun Chang , Xiaomiao Wang

Differential space time block coding (STBC) achieves full spatial diversity and avoids channel estimation overhead. Over highly frequency-selective channels, STBC is integrated with orthogonal frequency division multiplexing (OFDM) to…

Information Theory · Computer Science 2016-12-28 Lei Chen , Ahmed G. Helmy , Guangrong Yue , Shaoqian Li , Naofal Al-Dhahir

A novel distributed space-time block code (STBC) for the next generation mobile TV broadcasting is proposed. The new code provides efficient performance within a wide range of power imbalance showing strong adaptivity to the single…

Networking and Internet Architecture · Computer Science 2012-12-12 Ming Liu , Maryline Hélard , Matthieu Crussière , Jean-François Hélard

Space Time Block Codes (STBCs) from orthogonal designs have attracted significant interest in recent years. However, with the growing demand for higher capacity schemes, the multiantenna transmission techniques must support and achieve…

Networking and Internet Architecture · Computer Science 2020-09-04 Anu Jagannath , Jithin Jagannath , Andrew Drozd

In this paper, a design criterion for space-time block codes (STBC) is proposed for two-user MIMO interference channels when a group zero-forcing (ZF) algorithm is applied at each receiver to eliminate the inter-user interference. Based on…

Information Theory · Computer Science 2012-09-27 Long Shi , Wei Zhang , Xiang-Gen Xia

Optical orthogonal codes (OOCs) are sets of $(0,1)$-sequences with good auto- and cross-correlation properties. They were originally introduced for use in multi-access communication, particularly in the setting of optical CDMA…

Combinatorics · Mathematics 2025-01-15 Sophie Huczynska , Siaw-Lynn Ng

Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full diversity order and single-symbol ML decodability have been introduced recently by Yi and Kim for cooperative networks and an upperbound on the maximal rate of such…

Information Theory · Computer Science 2007-09-04 Harshan J. , B. Sundar Rajan

Several new constructions of 3-dimensional optical orthogonal codes are presented here. In each case the codes have ideal autocorrelation $\mathbf{ \lambda_a=0} $, and in all but one case a cross correlation of $ \mathbf{\lambda_c=1} $. All…

Information Theory · Computer Science 2022-07-18 Tim L. Alderson

Analogous to time signals that can be composed of multiple frequency functions, we use uniquely structured orthogonal spatial modes to create different beam shapes. We tailor the spatial structure by judiciously choosing a weighted…

The concept of orthogonality through the block factor (OTB), defined in Bagchi (2010), is extended here to orthogonality through a set (say S) of other factors. We discuss the impact of such an orthogonality on the precision of the…

Statistics Theory · Mathematics 2020-12-22 Bhaskar Bagchi , Sunanda Bagchi

We focus on full-rate, fast-decodable space-time block codes (STBCs) for 2x2 and 4x2 multiple-input multiple-output (MIMO) transmission. We first derive conditions for reduced-complexity maximum-likelihood decoding, and apply them to a…

Information Theory · Computer Science 2008-03-18 Ezio Biglieri , Yi Hong , Emanuele Viterbo

The purpose of the study is to investigate potential benefits of using Alamouti-like orthogonal space-time-frequency block codes (STFBC) in distributed multiple-input multiple-output (D-MIMO) systems to increase the diversity at the UE side…

Information Theory · Computer Science 2023-02-09 Fehmi Emre Kadan , Ömer Haliloğlu , Andres Reial

It is well known that the Space-time Block Codes (STBCs) from Complex orthogonal designs (CODs) are single-symbol decodable/symbol-by-symbol decodable (SSD). The weight matrices of the square CODs are all unitary and obtainable from the…

Information Theory · Computer Science 2016-11-17 Sanjay Karmakar , K. Pavan Srinath , B. Sundar Rajan

This is the second part of a two-part series of papers. In this paper, for the generalized non-orthogonal amplify and forward (GNAF) protocol presented in Part-I, a construction of a new family of distributed space-time codes based on…

Information Theory · Computer Science 2007-07-16 G. Susinder Rajan , B. Sundar Rajan