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In this paper, for the first time, we present a direct and new construction of multiple zero-correlation zone (ZCZ) sequence sets with inter-set zero-cross correlation zone (ZCCZ) from generalised Boolean function. Tang \emph{et al.} in…

Information Theory · Computer Science 2023-02-07 Nishant Kumar , Sudhan Majhi , Ashish K. Upadhyay

The construction of complementary sets (CSs) of sequences with different set size and sequence length become important due to its practical application for OFDM systems. Most of the constructions of CSs, based on generalized Boolean…

Information Theory · Computer Science 2020-02-19 Gaoxiang Wang , Avik Ranjan Adhikary , Zhengchun Zhou , Yang Yang

The zero correlation zone (ZCZ) ratio, i.e., the ratio of the width of the ZCZ and the length of the sequence plays a major role in reducing interference in an asynchronous environment of communication systems. However, to the best of the…

Combinatorics · Mathematics 2019-08-01 Avik Ranjan Adhikary , Palash Sarkar , Sudhan Majhi

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

This paper presents an efficient construction of two-dimensional (2D) complete complementary codes (CCCs) for their modern application as omnidirectional precoding matrices in massive MIMO systems to attain enhanced cell coverage. Unlike…

Information Theory · Computer Science 2022-05-10 Cheng-Yu Pai , Zilong Liu , You-Qi Zhao , Zhen-Ming Huang , Chao-Yu Chen

A major drawback of orthogonal frequency division multiplexing (OFDM) systems is their high peak-to-mean envelope power ratio (PMEPR). The PMEPR problem can be solved by adopting large codebooks consisting of complementary sequences with…

Information Theory · Computer Science 2020-06-24 Palash Sarkar , Sudhan Majhi , Zilong Liu

In recent years, complementary sequence sets have found many important applications in multi-carrier code-division multiple-access (MC-CDMA) systems for their good correlation properties. In this paper, we propose a construction, which can…

Information Theory · Computer Science 2021-05-24 Zhengchun Zhou , Fangrui Liu , Avik Ranjan Adhikary , Pingzhi Fan

One-dimensional (1-D) Golay complementary sets(GCSs) possess numerous well-known properties and have achieved extensive use in communication engineering. The concept of 1-D GCSs can be extended to two-dimensional (2-D) Golay complementary…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Zhaoyu Zhang , Xiaoyu Chen , Yuqiong Du , Luyi Zheng

In this study, we propose a flexible construction of complementary sequences (CSs) that can contain zero-valued elements. To derive the construction, we use Boolean functions to represent a polynomial generated with a recursion. By applying…

Information Theory · Computer Science 2021-08-05 Alphan Sahin , Rui Yang

In this paper, we propose a direct construction of a novel type of code set, which has combined properties of complete complementary code (CCC) and zero-correlation zone (ZCZ) sequences and called it complete complementary-ZCZ (CC-ZCZ) code…

Information Theory · Computer Science 2022-07-28 Nishant Kumar , Sudhan Majhi , A. K. Upadhyay

Linear complementary dual (LCD) maximum distance separable (MDS) codes are constructed to given specifications. For given $n$ and $r<n$, with $n$ or $r$ (or both) odd, MDS LCD $(n,r)$ codes are constructed over finite fields whose…

Information Theory · Computer Science 2020-05-19 Ted Hurley

Generalized spatial modulation (GSM) is a novel multiple-antenna technique offering flexibility among spectral efficiency, energy efficiency, and the cost of RF chains. In this paper, a novel class of sequence sets, called enhanced cross…

Information Theory · Computer Science 2023-12-04 Zhen-Ming Huang , Cheng-Yu Pai , Zilong Liu , Chao-Yu Chen

Cross Z-complementary pairs (CZCPs) are a special kind of Z-complementary pairs (ZCPs) having zero autocorrelation sums around the in-phase position and end-shift position, also having zero cross-correlation sums around the end-shift…

Information Theory · Computer Science 2021-12-30 Hui Zhang , Cuiling Fan , Sihem Mesnager

Spatial modulation (SM) is a new paradigm of multiple-input multiple-output (MIMO) systems, in which only one antenna at the transmitter is activated during each symbol period. Recently, it is observed that SM training sequences derived…

Information Theory · Computer Science 2021-05-24 Avik Ranjan Adhikary , Zhengchun Zhou , Yang Yang , Pingzhi Fan

Recently, two-dimensional (2D) array codes have been found to have applications in wireless communication.In this paper, we propose direct construction of 2D complete complementary codes (2D-CCCs) with arbitrary array size and flexible set…

Information Theory · Computer Science 2024-09-12 Gobinda Ghosh , Sachin Pathak

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

In recent years, traditional zero-correlation zone (ZCZ) sequences are being studied due to support interference-free quasi-synchronous code division multiple access (QS-CDMA) systems. However, in cognitive radio (CR) network, it is…

Information Theory · Computer Science 2023-09-06 Nishant Kumar , Palash Sarkar , Sudhan Majhi

In this paper, an algorithm for construction of multiple sets of two dimensional (2D) or matrix unipolar (optical) orthogonal codes has been proposed. Representations of these 2D codes in difference of positions representation (DoPR) have…

Information Theory · Computer Science 2013-09-10 Ram Chandra Singh Chauhan , Yatindra Nath Singh , Rachna Asthana

Quasi-complementary sequence sets (QCSSs) can be seen as a generalized version of complete complementary codes (CCCs), which enables multicarrier communication systems to support more users. The contribution of this work is two-fold. First,…

Information Theory · Computer Science 2020-10-22 Avik Ranjan Adhikary , Yanghe Feng , Zhengchun Zhou , Pingzhi Fan

We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensions. This approach is different from earlier approaches…

Information Theory · Computer Science 2024-05-30 Ferruh Ozbudak , Paolo Santonastaso , Ferdinando Zullo