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We consider an ensemble of constant composition codes that are subsets of linear codes: while the encoder uses only the constant-composition subcode, the decoder operates as if the full linear code was used, with the motivation of…

Information Theory · Computer Science 2022-06-22 Neri Merhav , Georg Bocherer

An adaptive joint source-channel coding (JSCC) scheme is presented for transmitting correlated sources over discrete-memoryless two-way channels subject to distortion constraints. The proposed JSCC scheme makes use of the previously…

Information Theory · Computer Science 2020-08-13 Jian-Jia Weng , Fady Alajaji , Tamás Linder

In this work, we construct $4$-phase Golay complementary sequence (GCS) set of cardinality $2^{3+\lceil \log_2 r \rceil}$ with arbitrary sequence length $n$, where the $10^{13}$-base expansion of $n$ has $r$ nonzero digits. Specifically,…

Information Theory · Computer Science 2024-01-30 Cheng Du , Yi Jiang

In this paper, nonzero component graphs and nonzero component union graphs of finite dimensional vector space are studied using the zero-divisor graph of specially constructed 0-1-distributive lattice and the zero-divisor graph of rings.…

Combinatorics · Mathematics 2022-10-11 Nilesh Khandekar , Peter J. Cameron , Vinayak Joshi

We consider a downlink 1-bit quantized multiuser (MU) multiple-input-multiple-output (MIMO) system, where 1-bit digital-to-analog (DACs) and analog-to-digital converters (ADCs) are used at the transmitter and the receiver for economical and…

Information Theory · Computer Science 2017-06-28 Hela Jedda , Amine Mezghani , Jawad Munir , Fabian Steiner , Josef A. Nossek

Coordinated multi-point (CoMP) transmission is an effective means of improving network throughput in heterogeneous cellular networks (HetNets). However, its performance is seriously weakened if imperfect coordination happens between base…

Information Theory · Computer Science 2014-12-16 Chun-Hung Liu

In this study, we propose partitioned complementary sequences (CSs) where the gaps between the clusters encode information bits to achieve low peak-to-average-power ratio (PAPR) orthogonal frequency division multiplexing (OFDM) symbols. We…

Information Theory · Computer Science 2021-09-16 Alphan Sahin

Self-orthogonal codes are a significant class of linear codes in coding theory and have attracted a lot of attention. In \cite{HLL2023Te,LH2023Se}, $p$-ary self-orthogonal codes were constructed by using $p$-ary weakly regular bent…

Information Theory · Computer Science 2024-03-20 Jiaxin Wang , Yadi Wei , Fang-Wei Fu , Juan Li

Code Division Multiple Access (CDMA) in which the spreading code assignment to users contains a random element has recently become a cornerstone of CDMA research. The random element in the construction is particular attractive as it…

Disordered Systems and Neural Networks · Physics 2015-05-13 Jack Raymond , David Saad

The maximal rate for non-square Complex Orthogonal Designs (CODs) with $n$ transmit antennas is ${1/2}+\frac{1}{n}$ if $n$ is even and ${1/2}+\frac{1}{n+1}$ if $n$ is odd, which are close to 1/2 for large values of $n.$ A class of maximal…

Information Theory · Computer Science 2008-07-28 Smarajit Das , B. Sundar Rajan

Let $p$ be an odd prime and $r,s,m$ be positive integers. In this study, we initiate our exploration by delving into the intricate structure of all repeated-root cyclic codes and their duals with a length of $2^rp^s$ over the finite field…

Information Theory · Computer Science 2024-06-21 Lanqiang Li , Ziwen Cao , Tingting Wu , Li Liu

In this paper, we consider a quasi-orthogonal (QO) space-time block code (STBC) with minimum decoding complexity (MDC-QO-STBC). We formulate its algebraic structure and propose a systematic method for its construction. We show that a…

Information Theory · Computer Science 2007-07-13 Chau Yuen , Yong Liang Guan , Tjeng Thiang Tjhung

In this paper, we present a new family of cross $Z$-complementary pairs (CZCPs) based on generalized Boolean functions and two roots of unity. Our key idea is to consider an arbitrary partition of the set $\{1,2,\cdots, n\}$ with two…

Information Theory · Computer Science 2023-08-15 Shibsankar Das , Adrish Banerjee , Zilong Liu

Adder MAC is a simple noiseless multiple-access channel (MAC), where if users send messages $X_1,\ldots,X_h\in \{0,1\}^n$, then the receiver receives $Y = X_1+\cdots+X_h$ with addition over $\mathbb{Z}$. Communication over the noiseless…

Information Theory · Computer Science 2018-09-21 Yuzhou Gu

We present new constructions of codes for asymmetric channels for both binary and nonbinary alphabets, based on methods of generalized code concatenation. For the binary asymmetric channel, our methods construct nonlinear…

Information Theory · Computer Science 2015-04-15 Markus Grassl , Peter Shor , Graeme Smith , John Smolin , Bei Zeng

This work presents a first comprehensive analysis of the impact of vector coded caching (VCC) in multi-user multiple-input multiple-output (MU-MIMO) systems with multiple receive antennas and variable pathloss -- two key factors that…

Information Theory · Computer Science 2026-01-21 Hui Zhao , Petros Elia

Constant dimension codes (CDCs), as special subspace codes, have received extensive attention due to their applications in random network coding. The basic problem of CDCs is to determine the maximal possible size $A_q(n,d,\{k\})$ for given…

Information Theory · Computer Science 2025-07-11 Han Li , Fang-Wei Fu

The paper deals with the perfect 1-error correcting codes over a finite field with $q$ elements (briefly $q$-ary 1-perfect codes). We show that the orthogonal code to the $q$-ary non-full-rank 1-perfect code of length $n = (q^{m}-1)/(q-1)$…

Information Theory · Computer Science 2017-04-11 Alexander M. Romanov

To combine the high power efficiency of Continuous Phase Modulation (CPM) with either high spectral efficiency or enhanced performance in low Signal to Noise conditions, some authors have proposed to introduce CPM in a MIMO frame, by using…

Information Theory · Computer Science 2008-12-18 Matthias Hesse , Jerome Lebrun , Luc Deneire

Spatially-coupled (SC) codes are a family of graph-based codes that have attracted significant attention thanks to their capacity approaching performance and low decoding latency. An SC code is constructed by partitioning an underlying…

Information Theory · Computer Science 2018-02-20 Homa Esfahanizadeh , Ahmed Hareedy , Lara Dolecek
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