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The study of subblock-constrained codes has recently gained attention due to their application in diverse fields. We present bounds on the size and asymptotic rate for two classes of subblock-constrained codes. The first class is binary…

Information Theory · Computer Science 2017-01-19 Anshoo Tandon , Han Mao Kiah , Mehul Motani

We present a novel differential space-time modulation (DSTM) scheme that is single-symbol decodable and can provide full transmit diversity. It is the first known singlesymbol- decodable DSTM scheme not based on Orthogonal STBC (O-STBC),…

Information Theory · Computer Science 2016-11-18 Chau Yuen , Yong Liang Guan , Tjeng Thiang Tjhung

Non-orthogonal space-time block codes (STBC) from cyclic division algebras (CDA) having large dimensions are attractive because they can simultaneously achieve both high spectral efficiencies (same spectral efficiency as in V-BLAST for a…

Information Theory · Computer Science 2009-01-14 Saif K. Mohammed , A. Chockalingam , B. Sundar Rajan

The problem of designing high rate, full diversity noncoherent space-time block codes (STBCs) with low encoding and decoding complexity is addressed. First, the notion of $g$-group encodable and $g$-group decodable linear STBCs is…

Information Theory · Computer Science 2016-11-17 G. Susinder Rajan , B. Sundar Rajan

Various realizations of Kitaev's surface code perform surprisingly well for biased Pauli noise. Attracted by these potential gains, we study the performance of Clifford-deformed surface codes (CDSCs) obtained from the surface code by…

Quantum Physics · Physics 2024-03-21 Arpit Dua , Aleksander Kubica , Liang Jiang , Steven T. Flammia , Michael J. Gullans

It has been shown recently that the maximum rate of a 2-real-symbol (single-complex-symbol) maximum likelihood (ML) decodable, square space-time block codes (STBCs) with unitary weight matrices is $\frac{2a}{2^a}$ complex symbols per…

Information Theory · Computer Science 2011-05-10 Teja Damodaram Bavirisetti , B. Sundar Rajan

Applying single-qubit Clifford unitaries to a Pauli stabilizer code produces a Clifford-deformed variant whose stabilizers remain Pauli operators, but with locally rotated Pauli axes. Such deformations provide a simple way to tailor a fixed…

Quantum Physics · Physics 2026-05-18 Jagannath Das , Sayandip Dhara , Pedro Medina , Arthur Pesah , Arpit Dua

In this paper, we give a new framework for constructing low ML decoding complexity Space-Time Block Codes (STBCs) using codes over the finite field $\mathbb{F}_4$. Almost all known low ML decoding complexity STBCs can be obtained via this…

Information Theory · Computer Science 2010-08-17 Lakshmi Prasad Natarajan , B. Sundar Rajan

Motivated by the recent developments in the Space Shift Keying (SSK) and Spatial Modulation (SM) systems which employ Time-Orthogonal Pulse Shaping (TOPS) filters to achieve transmit diversity gains, we propose TOPS for Space-Time Block…

Information Theory · Computer Science 2012-04-26 Rakshith Rajashekar , K. V. S. Hari

Space-Time Block Codes from square complex orthogonal designs (SCOD) have been extensively studied and most of the existing SCODs contain large number of zero. The zeros in the designs result in high peak-to-average power ratio (PAPR) and…

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

We focus on full-rate, fast-decodable space-time block codes (STBCs) for 2x2 and 4x2 multiple-input multiple-output (MIMO) transmission. We first derive conditions for reduced-complexity maximum-likelihood decoding, and apply them to a…

Information Theory · Computer Science 2008-03-18 Ezio Biglieri , Yi Hong , Emanuele Viterbo

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

In this paper we consider the generalization of binary spatially coupled low-density parity-check (SC-LDPC) codes to finite fields GF$(q)$, $q\geq 2$, and develop design rules for $q$-ary SC-LDPC code ensembles based on their iterative…

Information Theory · Computer Science 2014-11-18 Lai Wei , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

High data-rate Distributed Orthogonal Space-Time Block Codes (DOSTBCs) which achieve the single-symbol decodability and full diversity order are proposed in this paper. An upper bound of the data-rate of the DOSTBC is derived and it is…

Information Theory · Computer Science 2009-08-10 Zhihang Yi , Il-Min Kim

Instantaneous or statistical channel state information (CSI) is needed for most detection schemes developed for molecular communication (MC) systems. Since the MC channel changes over time, e.g., due to variations in the velocity of flow,…

Information Theory · Computer Science 2017-06-08 Vahid Jamali , Arman Ahmadzadeh , Nariman Farsad , Robert Schober

For an $n_t$ transmit, $n_r$ receive antenna system ($n_t \times n_r$ system), a {\it{full-rate}} space time block code (STBC) transmits $min(n_t,n_r)$ complex symbols per channel use. In this paper, a scheme to obtain a full-rate STBC for…

Information Theory · Computer Science 2010-01-13 K. Pavan Srinath , B. Sundar Rajan

Common signals in public channels of cellular systems are usually transmitted omnidirectionally from the base station (BS). In recent years, both discrete and consecutive omnidirectional space-time block codings (STBC) have been proposed…

Signal Processing · Electrical Eng. & Systems 2019-05-03 Can Liu , Xiang-Gen Xia , Yongzhao Li , Xiqi Gao , Hailin Zhang

Ultra-reliable low-latency communications (URLLC) demand high-performance error-correcting codes and decoders in the finite blocklength regime. This letter introduces a novel two-stage near-maximum likelihood (near-ML) decoding framework…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Yubeen Jo , Geon Choi , Yongjune Kim , Namyoon Lee

We introduce the class of partition-balanced families of codes, and show how to exploit their combinatorial invariants to obtain upper and lower bounds on the number of codes that have a prescribed property. In particular, we derive precise…

Information Theory · Computer Science 2018-12-13 Eimear Byrne , Alberto Ravagnani

In this paper we study the iterative decoding threshold performance of non-binary spatially-coupled low-density parity-check (NB-SC-LDPC) code ensembles for both the binary erasure channel (BEC) and the binary-input additive white Gaussian…

Information Theory · Computer Science 2016-11-18 Lai Wei , Toshiaki Koike-Akino , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello