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In this paper we propose a new cooperative packet transmission scheme that allows independent sources to superimpose over-the-air their packet transmissions. Relay nodes are used and cooperative diversity is combined with distributed…

Networking and Internet Architecture · Computer Science 2013-03-18 Antonios Argyriou

The upcoming 5G networks demand high-speed and high spectral-efficiency communications to keep up with the proliferating traffic demands. To this end, Massive multiple-input multiple-output (MIMO) techniques have gained significant traction…

Information Theory · Computer Science 2019-08-06 Anu Jagannath , Jithin Jagannath , Andrew Drozd

Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full diversity order and single-symbol ML decodability have been introduced recently for cooperative networks and an upper-bound on the maximal rate of such codes along with…

Information Theory · Computer Science 2007-08-31 J. Harshan , B. Sundar Rajan

Distributed Space-Time Block Codes (DSTBCs) from Complex Orthogonal Designs (CODs) (both square and non-square CODs other than the Alamouti design) are known to lose their single-symbol ML decodable (SSD) property when used in two-hop…

Information Theory · Computer Science 2009-08-04 J. Harshan , B. Sundar Rajan , Are Hjørungnes

Space-Time Block Codes (STBCs) suffer from a prohibitively high decoding complexity unless the low-complexity decodability property is taken into consideration in the STBC design. For this purpose, several families of STBCs that involve a…

Information Theory · Computer Science 2013-01-03 Amr Ismail , Jocelyn Fiorina , Hikmet Sari

Multicasting $K$ independent messages via multiple-input multiple-output (MIMO) channels to multiple users where each user already has a subset of messages as side information is studied. A general framework of constructing layered…

Information Theory · Computer Science 2017-09-14 Yu-Chih Huang , Yi Hong , Emanuele Viterbo , Lakshmi Natarajan

In the last time some papers were devoted to the study of the con- nections between binary block codes and BCK-algebras. In this paper, we try to generalize these results to n-ary block codes, providing an algorithm which allows us to…

We present constructions of Space-Time (ST) codes based on lattice coset coding. First, we focus on ST code constructions for the short block-length case, i.e., when the block-length is equal to or slightly larger than the number of…

Information Theory · Computer Science 2008-04-14 K. Raj Kumar , Giuseppe Caire

A new design method for high rate, fully diverse ('spherical') space frequency codes for MIMO-OFDM systems is proposed, which works for arbitrary numbers of antennas and subcarriers. The construction exploits a differential geometric…

Information Theory · Computer Science 2016-11-17 Oliver Henkel

Fast-decodable distributed space-time codes are constructed by adapting the iterative code construction introduced in [1] to the N -relay multiple-input multiple-output channel, leading to the first fast-decodable distributed space-time…

Information Theory · Computer Science 2015-04-21 Amaro Barreal , Camilla Hollanti , Nadya Markin

We consider the CSS algorithm relating self-orthogonal classical linear codes to q-ary quantum stabilizer codes and we show that to such a pair of a classical and a quantum code one can associate geometric spaces constructed using methods…

Information Theory · Computer Science 2011-07-29 Matilde Marcolli , Christopher Perez

It is well known that the Space-time Block Codes (STBCs) from Complex orthogonal designs (CODs) are single-symbol decodable/symbol-by-symbol decodable (SSD). The weight matrices of the square CODs are all unitary and obtainable from the…

Information Theory · Computer Science 2016-11-17 Sanjay Karmakar , K. Pavan Srinath , B. Sundar Rajan

A non-associative algebra over a field $\mathbb{K}$ is a $\mathbb{K}$-vector space $A$ equipped with a bilinear operation \[ {A\times A\to A\colon\; (x,y)\mapsto x\cdot y=xy}. \] The collection of all non-associative algebras over…

Rings and Algebras · Mathematics 2021-10-20 Tim Van der Linden

A novel distributed space-time block code (STBC) for the next generation mobile TV broadcasting is proposed. The new code provides efficient performance within a wide range of power imbalance showing strong adaptivity to the single…

Networking and Internet Architecture · Computer Science 2012-12-12 Ming Liu , Maryline Hélard , Matthieu Crussière , Jean-François Hélard

Block graphs are graphs in which every block (biconnected component) is a clique. A graph $G=(V,E)$ is said to be an (unpartitioned) $k$-probe block graph if there exist $k$ independent sets $N_i\subseteq V$, $1\le i\le k$, such that the…

Combinatorics · Mathematics 2016-11-22 Van Bang Le , Sheng-Lung Peng

Non-binary codes correcting multiple deletions have recently attracted a lot of attention. In this work, we focus on multiplicity-free codes, a family of non-binary codes where all symbols are distinct. Our main contribution is a new…

Information Theory · Computer Science 2025-08-06 Michael Schaller , Beatrice Toesca , Van Khu Vu

The exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $SL_2^n$-structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so…

Rings and Algebras · Mathematics 2020-11-18 Isabel Cunha , Alberto Elduque

Binary self-orthogonal codes and balanced incomplete block designs are two combinatorial configurations that have been much studied because of their wide areas of application. In this paper, we have shown the distribution of (16; 6;…

Combinatorics · Mathematics 2021-03-31 Navid Nasr Esfahani , G. H. John van Rees

We propose a new class of space-time block codes based on finite-field rank-metric codes in combination with a rank-metric-preserving mapping to the set of Eisenstein integers. It is shown that these codes achieve maximum diversity order…

Information Theory · Computer Science 2017-05-30 Sven Puchinger , Sebastian Stern , Martin Bossert , Robert F. H. Fischer

In this paper, we present a belief propagation (BP) based algorithm for decoding non-orthogonal space-time block codes (STBC) from cyclic division algebras (CDA) having {\em large dimensions}. The proposed approach involves message passing…

Information Theory · Computer Science 2009-01-14 Madhekar Suneel , Pritam Som , A. Chockalingam , B. Sundar Rajan