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A new coded modulation scheme is proposed. At the transmitter, the concatenation of a distribution matcher and a systematic binary encoder performs probabilistic signal shaping and channel coding. At the receiver, the output of a bitwise…

Information Theory · Computer Science 2015-04-23 Georg Böcherer , Patrick Schulte , Fabian Steiner

We address the maximum size of binary codes and binary constant weight codes with few distances. Previous works established a number of bounds for these quantities as well as the exact values for a range of small code lengths. As our main…

Combinatorics · Mathematics 2025-07-14 Alexander Barg , Alexey Glazyrin , Wei-Jiun Kao , Ching-Yi Lai , Pin-Chieh Tseng , Wei-Hsuan Yu

We employ a pixel-based likelihood technique to estimate the angular power spectrum of the COBE Differential Microwave Radiometer (DMR) 4-year sky maps. The spectrum is consistent with a scale-invariant power-law form with a normalization,…

Astrophysics · Physics 2009-10-28 G. Hinshaw , A. J. Banday , C. L. Bennett , K. M. Gorski , A. Kogut , G. F. Smoot , E. L. Wright

For discrete memoryless multiple-access channels, we propose a general definition of variable length codes with a measure of the transmission rates at the receiver side. This gives a receiver perspective on the multiple-access channel…

Information Theory · Computer Science 2011-02-28 Stephane Musy

We design new continuous phase modulation (CPM) formats which are based on the combination of a proper precoder with binary input and a ternary CPM. The proposed precoder constrains the signal phase evolution in order to increase the…

Information Theory · Computer Science 2016-11-17 Malek Messai , Amina Piemontese , Giulio Colavolpe , Karine Amis , Frederic Guilloud

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

Z-complementary code set (ZCCS) are well known to be used in multicarrier code-division multiple access (MCCDMA) system to provide a interference free environment. Based on the existing literature, the direct construction of optimal ZCCSs…

Information Theory · Computer Science 2022-04-20 Gobinda Ghosh , Sudhan Majhi , Palash Sarkar , Ashish Kumar Upadhyay

The use of error-correcting codes for tight control of the peak-to-mean envelope power ratio (PMEPR) in orthogonal frequency-division multiplexing (OFDM) transmission is considered in this correspondence. By generalizing a result by…

Information Theory · Computer Science 2016-11-17 Kai-Uwe Schmidt

In this paper, we propose a new and optimal construction of two-dimensional (2-D) Z-complementary array code set (ZCACS) using multivariable extended Boolean functions (EBFs). The proposed 2-D arrays have many applications in modern…

Information Theory · Computer Science 2025-09-03 Abhishek Roy

We describe a new parameterized family of symmetric error-correcting codes with low-density parity-check matrices (LDPC). Our codes can be described in two seemingly different ways. First, in relation to Reed-Muller codes: our codes are…

Information Theory · Computer Science 2023-08-31 Irit Dinur , Siqi Liu , Rachel Yun Zhang

The standard approach to the design of individual space-time codes is based on optimizing diversity and coding gains. This geometric approach leads to remarkable examples, such as perfect space-time block codes, for which the complexity of…

Information Theory · Computer Science 2015-05-13 Yiyue Wu , Robert Calderbank

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

We present a practical strategy that aims to attain rate points on the dominant face of the multiple access channel capacity using a standard low complexity decoder. This technique is built upon recent theoretical developments of Zhu and…

Information Theory · Computer Science 2018-01-01 Erixhen Sula , Jingge Zhu , Adriano Pastore , Sung Hoon Lim , Michael Gastpar

The performance of a CDMA based wireless system is largely dependent on the characteristics of pseudo-random spreading codes. The spreading codes should be carefully chosen to ensure highest possible peak value of auto-correlation function…

Information Theory · Computer Science 2012-06-12 Deepak Kedia

Permutation decoding is a technique which involves finding a subset $S$, called PD-set, of the permutation automorphism group of a code $C$ in order to assist in decoding. An explicit construction of $\left \lfloor{\frac{2^m-m-1}{1+m}}…

Information Theory · Computer Science 2016-05-03 Roland D. Barrolleta , Mercè Villanueva

In this paper, we study two issues in asynchronous communication systems. The first issue is the derivation of sum capacity bounds for finite dimensional asynchronous systems. In addition, asymptotic results for the sum capacity bounds are…

Signal Processing · Electrical Eng. & Systems 2019-03-19 Shayan Dashmiz , Seyed Mohammad Mansouri , Amir Najafi , Farrokh Marvasti

In the beginning of 21st century there has been a dramatic shift in the market dynamics of telecommunication services. The transmission from base station to mobile or downlink transmission using M-ary Quadrature Amplitude modulation (QAM)…

Other Computer Science · Computer Science 2010-03-30 M. A. Masud , M. Samsuzzaman , M. A. Rahman

Ternary constant weight codes of length $n=2^m$, weight $n-1$, cardinality $2^n$ and distance $5$ are known to exist for every $m$ for which there exists an APN permutation of order $2^m$, that is, at least for all odd $m \geq 3$ and for…

Information Theory · Computer Science 2016-05-10 Denis S. Krotov , Patric R. J. Östergård , Olli Pottonen

Adaptive modulation and coding (AMC) is widely employed in modern wireless communication systems to improve the transmission efficiency by adjusting the transmission rate according to the channel conditions. Thus, AMC can provide very…

Signal Processing · Electrical Eng. & Systems 2017-12-21 Zhe Yang , Lin Cai , Aaron Gulliver , Liang He , Jianping Pan

Constant dimension codes (CDCs) are essential for error correction in random network coding. A fundamental problem of CDCs is to determine their maximal possible size for given parameters. Inserting construction and multilevel construction…

Information Theory · Computer Science 2025-02-19 Han Li , Fang-Wei Fu