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Staircase codes (SCCs) are typically decoded using iterative bounded-distance decoding (BDD) and hard decisions. In this paper, a novel decoding algorithm is proposed, which partially uses soft information from the channel. The proposed…

Signal Processing · Electrical Eng. & Systems 2020-06-05 Yi Lei , Bin Chen , Gabriele Liga , Xiong Deng , Zizheng Cao , Jianqiang Li , Kun Xu , Alex Alvarado

High data rates are one of the most prevalent requirements in current mobile communications. To cover this and other high standards regarding performance, increasing coverage, capacity, and reliability, numerous works have proposed the…

Information Theory · Computer Science 2023-07-26 Gabriela Morillo , John Cosmas

Symbol-pair codes are block codes with symbol-pair metrics designed to protect against pair-errors that may occur in high-density data storage systems. MDS symbol-pair codes are optimal in the sense that it can attain the highest pair-error…

Information Theory · Computer Science 2021-11-29 Xilin Tang , Weixian Li , Wei Zhao

Differential distributed space-time coding (D-DSTC) technique has been considered for relay networks to provide both diversity gain and high throughput in the absence of channel state information. Conventional differential detection (CDD)…

Information Theory · Computer Science 2014-04-09 M. R. Avendi , Ha H. Nguyen , Nguyen Quoc-Tuan

Reed-Solomon codes are a classic family of error-correcting codes consisting of evaluations of low-degree polynomials over a finite field on some sequence of distinct field elements. They are widely known for their optimal unique-decoding…

Information Theory · Computer Science 2025-09-01 Omar Alrabiah , Zeyu Guo , Venkatesan Guruswami , Ray Li , Zihan Zhang

We study the design of spectrally efficient fiber-optical communication systems based on different spatially coupled (SC) forward error correction (FEC) schemes. In particular, we optimize the allocation of the coded bits from the FEC…

Information Theory · Computer Science 2024-01-30 Christian Häger , Alexandre Graell i Amat , Fredrik Brännström , Alex Alvarado , Erik Agrell

We propose blind adaptive multi-input multi-output (MIMO) linear receivers for DS-CDMA systems using multiple transmit antennas and space-time block codes (STBC) in multipath channels. A space-time code-constrained constant modulus (CCM)…

Information Theory · Computer Science 2013-01-01 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Recently, a quasi-orthogonal space-time block code (QSTBC) capable of achieving a significant fraction of the outage mutual information of a multiple-input-multiple output (MIMO) wireless communication system for the case of four transmit…

Information Theory · Computer Science 2008-07-22 A. Sezgin , T. J. Oechtering

Spatially-coupled (SC) codes are constructed by coupling many regular low-density parity-check codes in a chain. The decoding chain of SC codes stops when facing burst erasures. This problem can not be overcome by increasing coupling…

Information Theory · Computer Science 2013-02-07 Ryunosuke Ohashi , Kenta Kasai , Keigo Takeuchi

We study a class of linear network coding (LNC) schemes, called circular-shift LNC, whose encoding operations consist of only circular-shifts and bit-wise additions (XOR). Formulated as a special vector linear code over GF($2$), an…

Information Theory · Computer Science 2019-01-03 Hanqi Tang , Qifu Tyler Sun , Zongpeng Li , Xiaolong Yang , Keping Long

In this correspondence, first-tier indirect (direct) discernible constellation expansions are defined for generalized orthogonal designs. The expanded signal constellation, leading to so-called super-orthogonal codes, allows the achievement…

Information Theory · Computer Science 2011-09-06 Dumitru Mihai Ionescu , Zhiyuan Yan

Recently, Guo and Xia gave sufficient conditions for an STBC to achieve full diversity when a PIC (Partial Interference Cancellation) or a PIC-SIC (PIC with Successive Interference Cancellation) decoder is used at the receiver. In this…

Information Theory · Computer Science 2015-03-14 Lakshmi Prasad Natarajan , B. Sundar Rajan

In this paper we present an alternative separable implementation of L2-orthogonal space-time codes (STC) for continuous phase modulation (CPM). In this approach, we split the STC CPM transmitter into a single conventional CPM modulator and…

Information Theory · Computer Science 2016-11-18 Matthias Hesse , Jerome Lebrun , Lutz Lampe , Luc Deneire

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

In this paper, we analyze the performance of space-time block codes which enable symbolwise maximum likelihood decoding. We derive an upper bound of maximum mutual information (MMI) on space-time block codes that enable symbolwise maximum…

Information Theory · Computer Science 2007-07-13 Kenji Tanaka , Ryutaroh Matsumoto , Tomohiko Uyematsu

We compare four open-loop transmit diversity schemes in a coded Orthogonal Frequency Division Multiplexing (OFDM) system with four transmit antennas, namely cyclic delay diversity (CDD), Space-Time Block Code (STBC, Alamouti code is used)…

Information Theory · Computer Science 2008-06-24 Chau Yuen , Yan Wu , Sumei Sun

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

We introduce multivariate multicycle (MM) codes, a new family of quantum error-correcting codes (QECCs) that unifies bivariate bicycle, multivariate bicycle, abelian two-block group algebra, generalized bicycle, trivariate tricycle, and…

Quantum Physics · Physics 2026-05-26 Feroz Ahmed Mian , Owen Gwilliam , Stefan Krastanov

Locally decodable channel codes form a special class of error-correcting codes with the property that the decoder is able to reconstruct any bit of the input message from querying only a few bits of a noisy codeword. It is well known that…

Information Theory · Computer Science 2013-08-28 Ali Makhdoumi , Shao-Lun Huang , Muriel Medard , Yury Polyanskiy

In this article, the first general constructions of fast-decodable, more specifically (conditionally) $g$-group decodable, space-time block codes for the Nonorthogonal Amplify and Forward (NAF) Multiple-Input Multiple-Output (MIMO) relay…

Information Theory · Computer Science 2015-12-11 Amaro Barreal , Camilla Hollanti , Nadya Markin