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Space-time block codes (STBCs) from non-square complex orthogonal designs are bandwidth efficient when compared with those from square real/complex orthogonal designs. Though there exists rate-1 ROD for any number of transmit antennas,…

Information Theory · Computer Science 2008-08-12 Smarajit Das , B. Sundar Rajan

Designs and methods for nested lattice codes using Construction D' lattices for coding and convolutional code lattices for shaping are described. Two encoding methods and a decoding algorithm for Construction D' coding lattices that can be…

Information Theory · Computer Science 2022-01-03 Fan Zhou , Brian M. Kurkoski

Large apertures in space are critical for high-power and high-bandwidth applications spanning wireless power transfer (WPT) and communication, however progress on this front is stunted by the geometric limitations of rocket flight. Here, we…

For a high-rate case, it is difficult to randomly construct good low-density parity-check (LDPC) codes of short and moderate lengths because their Tanner graphs are prone to making short cycles. Also, the existing high-rate quasi-cyclic…

Information Theory · Computer Science 2016-11-18 Hosung Park , Seokbeom Hong , Jong-Seon No , Dong-Joon Shin

Conflict-avoiding codes (CACs) have been used in multiple-access collision channel without feedback. The size of a CAC is the number of potential users that can be supported in the system. A code with maximum size is called optimal. The use…

Information Theory · Computer Science 2021-02-25 Chun-e Zhao , Wenping Ma , Tongjiang Yan , Yuhua Sun

Extremely large-scale array (XL-array) has emerged as a promising technology to enable near-field communications for achieving enhanced spectrum efficiency and spatial resolution, by drastically increasing the number of antennas. However,…

Information Theory · Computer Science 2026-01-21 Cong Zhou , Changsheng You , Haodong Zhang , Li Chen , Shuo Shi

This work shows how non-binary low-density parity-check codes over GF($2^p$) can be combined with probabilistic amplitude shaping (PAS) (B\"ocherer, et al., 2015), which combines forward-error correction with non-uniform signaling for…

Information Theory · Computer Science 2017-08-21 Fabian Steiner , Gianluigi Liva , Georg Böcherer

This paper considers a general framework for massive random access based on sparse superposition coding. We provide guidelines for the code design and propose the use of constant-weight codes in combination with a dictionary design based on…

Information Theory · Computer Science 2022-07-27 Patrick Agostini , Zoran Utkovski , Alexis Decurninge , Maxime Guillaud , Slawomir Stanczak

Constant dimension codes are used for error control in random linear network coding, so that constructions for these codes with large cardinality have achieved wide attention in the last decade. Here, we improve the so-called linkage…

Combinatorics · Mathematics 2020-05-06 Sascha Kurz

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

We investigate weakly constrained codes, in which specific patterns occur with prescribed frequencies rather than being strictly forbidden as in conventional constrained coding. We propose a capacity-achieving construction of a weakly…

Information Theory · Computer Science 2026-05-22 Prachi Mishra , Sidharth Jaggi , Navin Kashyap , Michael Langberg

One approach to designing structured low-density parity-check (LDPC) codes with large girth is to shorten codes with small girth in such a manner that the deleted columns of the parity-check matrix contain all the variables involved in…

Discrete Mathematics · Computer Science 2016-11-18 Olgica Milenkovic , Navin Kashyap , David Leyba

This paper is concerned with the design of capacity approaching ensembles of Low-Densiy Parity-Check (LDPC) codes for correlated sources. We consider correlated binary sources where the data is encoded independently at each source through a…

Information Theory · Computer Science 2017-01-30 Mohamad Khas Mohamadi , Hamid Saeedi , Reza Asvadi

In this paper we propose a novel power adapted network coding (PANC) for a non-orthogonal multiple-access relay channel (MARC), where two sources transmit their information simultaneously to the destination with the help of a relay.…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Sha Wei , Jun Li , Wen Chen , Hang Su , Zihuai Lin , Branka Vucetic

We consider two-dimensional $(\lambda_1, \lambda_2)$-constacyclic codes over $\mathbb{F}_{q}$ of area $M N$, where $q$ is some power of prime $p$ with $\gcd(M,p)=1$ and $\gcd(N,p)=1$. With the help of common zero (CZ) set, we characterize…

Information Theory · Computer Science 2025-12-24 Vidya Sagar , Shikha Patel , Ashutosh Singh , Shayan Srinivasa Garani

High power consumption and expensive hardware are two bottlenecks for practical massive multiple-input multiple-output (mMIMO) systems. One promising solution is to employ low-resolution analog-to-digital converters (ADCs) and…

Information Theory · Computer Science 2018-09-11 Jiayi Zhang , Linglong Dai , Ziyan He , Bo Ai , Octavia A. Dobre

We study ensembles of codes on graphs (generalized low-density parity-check, or LDPC codes) constructed from random graphs and fixed local constrained codes, and their extension to codes on hypergraphs. It is known that the average minimum…

Information Theory · Computer Science 2011-02-22 Alexander Barg , Arya Mazumdar

Low-density parity-check (LDPC) codes have been the subject of much interest due to the fact that they can perform near the Shannon limit. In this paper we present a construction of LDPC codes from cubic symmetric graphs. The constructed…

Combinatorics · Mathematics 2020-02-18 Dean Crnkovic , Sanja Rukavina , Marina Simac

In this work, we consider complementary lattice arrays in order to enable a broader range of designs for coded aperture imaging systems. We provide a general framework and methods that generate richer and more flexible designs than existing…

Information Theory · Computer Science 2016-05-04 Jie Ding , Mohammad Noshad , Vahid Tarokh

Maximum Distance Profile (MDP) convolutional codes are an important class of channel codes due to their maximal delay-constrained error correction capabilities. The design of MDP codes has attracted significant attention from the research…

Information Theory · Computer Science 2025-07-15 Sakshi Dang , Julia Lieb , Okko Makkonen , Pedro Soto , Alex Sprintson