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

Information Theory · Computer Science 2017-05-09 Vahid Jamali , Arman Ahmadzadeh , Nariman Farsad , Robert Schober

The presented work provides a procedure for optimizing the communication cost of a distributed quantum circuit (DQC) in terms of the number of qubit teleportations. Because of technology limitations which do not allow large quantum…

Emerging Technologies · Computer Science 2018-01-17 Mariam Zomorodi-Moghadam , Monireh Houshmand , Mahboobeh Houshmand

Efficient communication in wireless networks is typically challenged by the possibility of interference among several transmitting nodes. Much important research has been invested in decreasing the number of collisions in order to obtain…

Networking and Internet Architecture · Computer Science 2012-08-31 Keren Censor-Hillel , Bernhard Haeupler , Nancy Lynch , Muriel Médard

How to efficiently design a communication network is a paramount task for network designing and engineering. It is, however, not a single objective optimization process as perceived by most previous researches, i.e., to maximize its…

Networking and Internet Architecture · Computer Science 2015-05-14 Guoqiang Zhang

Linear codes with a few weights have been widely investigated in recent years. In this paper, we mainly use Gauss sums to represent the Hamming weights of a class of $q$-ary linear codes under some certain conditions, where $q$ is a power…

Information Theory · Computer Science 2016-05-12 Ziling Heng , Qin Yue

We present a tree-based construction of LDPC codes that have minimum pseudocodeword weight equal to or almost equal to the minimum distance, and perform well with iterative decoding. The construction involves enumerating a $d$-regular tree…

Information Theory · Computer Science 2007-07-13 Christine Kelley , Deepak Sridhara , Joachim Rosenthal

We consider the problem of slotted asynchronous coded communication, where in each time frame (slot), the transmitter is either silent or transmits a codeword from a given (randomly selected) codebook. The task of the decoder is to decide…

Information Theory · Computer Science 2013-08-22 Neri Merhav

The study of the generalized Hamming weight of linear codes is a significant research topic in coding theory as it conveys the structural information of the codes and determines their performance in various applications. However,…

Information Theory · Computer Science 2023-10-19 Chao Liu , Dabin Zheng , Wei Lu , Xiaoqiang Wang

We present a closed-form expression for the minimal delay that is achievable in a setting that combines a buffer and an erasure code, used to mitigate the packet delay variance. The erasure code is modeled according to the recent…

Information Theory · Computer Science 2016-10-17 Jesper H. Sørensen , Petar Popovski , Jan Østergaard

We consider an instance of the following problem: Parties P_1,..., P_k each receive an input x_i, and a coordinator (distinct from each of these parties) wishes to compute f(x_1,..., x_k) for some predicate f. We are interested in one-round…

Computational Complexity · Computer Science 2013-01-22 Daniel Apon , Jonathan Katz , Alex J. Malozemoff

It is known belief propagation decoding variants of LDPC codes can be unrolled easily as neural networks after assigning differed weights to message passing edges flexibly. In this paper we focus on how to determine these weights, in the…

Information Theory · Computer Science 2022-08-10 Guangwen Li , Xiao Yu

We design a network coding scheme with minimum reception overhead and linear encoding/decoding complexity.

Information Theory · Computer Science 2013-09-19 Kaveh Mahdaviani , Raman Yazdani , Masoud Ardakani

Given a correlation generated by a (possibly quantum) communication network, we study the amount of shared randomness required to generate it. We develop a novel upper bound for approximating distributions generated by arbitrary networks…

Quantum Physics · Physics 2026-03-16 Yukari Uchibori , Alice Zheng , Anurag Anshu , Jamie Sikora

This work examines the expected computational cost to determine an approximate global minimum of a class of cost functions characterized by the variance of coefficients. The cost function takes $N$-dimensional binary states as arguments and…

Computational Complexity · Computer Science 2019-05-27 Takuya Isomura

Binary constant weight codes have important applications and have been studied for many years. Optimal or near-optimal binary constant weight codes of small lengths have been determined. In this paper we propose a new construction of…

Information Theory · Computer Science 2015-08-11 Liqing Xu , Hao Chen

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

This paper presents a new decoding for polynomial residue codes, called the minimum degree-weighted distance decoding. The newly proposed decoding is based on the degree-weighted distance and different from the traditional minimum Hamming…

Information Theory · Computer Science 2017-03-28 Li Xiao , Xiang-Gen Xia

The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for constant-weight and…

Information Theory · Computer Science 2008-07-18 Yeow Meng Chee , Gennian Ge , Alan C. H. Ling

We perform an extended numerical search for practical fermion-to-qubit encodings with error correcting properties. Ideally, encodings should strike a balance between a number of the seemingly incompatible attributes, such as having a high…

Quantum Physics · Physics 2024-05-29 Fedor Simkovic , Martin Leib , Francisco Revson F. Pereira

We present an algorithm that takes a CSS stabilizer code as input, and outputs another CSS stabilizer code such that the stabilizer generators all have weights $O(1)$ and such that $O(1)$ generators act on any given qubit. The number of…

Quantum Physics · Physics 2016-11-14 M. B. Hastings
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