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Z-complementary code set (ZCCS), an extension of perfect complementary codes (CCs), refers to a set of two-dimensional matrices having zero correlation zone properties. ZCCS can be used in various multi-channel systems to support, for…

Information Theory · Computer Science 2019-11-11 Palash Sarkar , Sudhan Majhi , Zilong Liu

Precoding for multiple-input, multiple-output (MIMO) antenna systems is considered with perfect channel knowledge available at both the transmitter and the receiver. For 2 transmit antennas and QAM constellations, an approximately optimal…

Information Theory · Computer Science 2015-03-17 K. Pavan Srinath , B. Sundar Rajan

In this paper, we introduce novel coding schemes for wireless networks with random transmission delays. These coding schemes obviate the need for synchronicity, reduce the number of transmissions and achieve the optimal rate region in the…

Information Theory · Computer Science 2015-03-04 Niv Voskoboynik , Haim H. Permuter , Asaf Cohen

In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount of `wire' available to connect nodes…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Markus Brede

We formulate explicit predictions concerning the symmetry of optimal codes in compact metric spaces. This motivates the study of optimal codes in various spaces where these predictions can be tested.

Combinatorics · Mathematics 2025-12-25 Emily J. King , Dustin G. Mixon , Hans Parshall , Chris Wells

Using the spatial modulation approach, where only one transmit antenna is active at a time, we propose two transmission schemes for two-way relay channel using physical layer network coding with space time coding using Coordinate…

Information Theory · Computer Science 2014-01-07 K. G. Unnikrishnan , B. Sundar Rajan

We construct explicit rate-one, full-diversity, geometrically dense matrix lattices with large, non-vanishing determinants (NVD) for four transmit antenna multiple-input single-output (MISO) space-time (ST) applications. The constructions…

Information Theory · Computer Science 2016-11-17 Camilla Hollanti , Jyrki Lahtonen , Hsiao-feng Francis Lu

We define a new family of codes for symmetric classical-quantum channels and establish their optimality. To this end, we extend the classical notion of generalized perfect and quasi-perfect codes to channels defined over some finite…

Quantum Physics · Physics 2020-07-17 Andreu Blasco Coll , Gonzalo Vazquez-Vilar , Javier R. Fonollosa

The space-time bit-interleaved coded modulation (ST-BICM) is an efficient technique to obtain high diversity and coding gain on a block-fading MIMO channel. Its maximum-likelihood (ML) performance is computed under ideal interleaving…

Information Theory · Computer Science 2016-11-15 Nicolas Gresset , Loic Brunel , Joseph Boutros

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

Codes in finite projective spaces equipped with the subspace distance have been proposed for error control in random linear network coding. Here we collect the present knowledge on lower and upper bounds for binary subspace codes for…

Combinatorics · Mathematics 2018-10-01 Daniel Heinlein , Sascha Kurz

Algebraic space--time coding --- a powerful technique developed in the context of multiple-input multiple-output (MIMO) wireless communications --- has profited tremendously from tools from Class Field Theory and, more concretely, the…

Number Theory · Mathematics 2017-08-04 Amaro Barreal , Capi Corrales Rodrigáñez , Camilla Hollanti

A low complexity, essentially-ML decoding technique for the Golden code and the 3 antenna Perfect code was introduced by Sirianunpiboon, Howard and Calderbank. Though no theoretical analysis of the decoder was given, the simulations showed…

Information Theory · Computer Science 2015-03-20 Lakshmi Prasad Natarajan , B. Sundar Rajan

Multi-hop relay channels use multiple relay stages, each with multiple relay nodes, to facilitate communication between a source and destination. Previously, distributed space-time coding was used to maximize diversity gain. Assuming a…

Information Theory · Computer Science 2008-05-22 Rahul Vaze , Robert W. Heath

An index coding problem arises when there is a single source with a number of messages and multiple receivers each wanting a subset of messages and knowing a different set of messages a priori. The noiseless Index Coding Problem is to…

Information Theory · Computer Science 2015-10-13 Kavitha R. , Niranjana Ambadi , B. Sundar Rajan

In the setting of a Gaussian channel without power constraints, proposed by Poltyrev, the codewords are points in an n-dimensional Euclidean space (an infinite constellation) and the tradeoff between their density and the error probability…

Information Theory · Computer Science 2013-02-28 Amir Ingber , Ram Zamir , Meir Feder

This is the second part of a two-part series of papers. In this paper, for the generalized non-orthogonal amplify and forward (GNAF) protocol presented in Part-I, a construction of a new family of distributed space-time codes based on…

Information Theory · Computer Science 2007-07-16 G. Susinder Rajan , B. Sundar Rajan

Differential distributed space-time coding (D-DSTC) has been considered to improve both diversity and data-rate in cooperative communications in the absence of channel information. However, conventionally, it is assumed that relays are…

Information Theory · Computer Science 2016-11-17 M. R. Avendi , Sina Poorkasmaei , Hamid Jafarkhani

In this work, we develop a space-time block code for noncoherent communication using techniques from the field of quantum error correction. We decompose the multiple-input multiple-output (MIMO) channel into operators from quantum…

Signal Processing · Electrical Eng. & Systems 2019-01-31 S. Andrew Lanham , Travis C. Cuvelier , Corey Ostrove , Brian La Cour , Granville Ott , Robert Heath

We analyze the problem of zero-error communication through timing channels that can be interpreted as discrete-time queues with bounded waiting times. The channel model includes the following assumptions: 1) Time is slotted, 2) at most $ N…

Information Theory · Computer Science 2020-08-13 Mladen Kovačević , Petar Popovski