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Quasi-linear Network Coding [PDF]

open access: green2014 International Symposium on Network Coding (NetCod), 2014
We present a heuristic for designing vector non-linear network codes for non-multicast networks, which we call quasi-linear network codes. The method presented has two phases: finding an approximate linear network code over the reals, and then quantizing it to a vector non-linear network code using a fixed-point representation.
Moshe Schwartz, Muriel Médard
core   +7 more sources

Multiple Linear-Combination Security Network Coding [PDF]

open access: goldEntropy, 2023
In this paper, we put forward the model of multiple linear-combination security multicast network coding, where the wiretapper desires to obtain some information about a predefined set of multiple linear combinations of the source symbols by ...
Yang Bai, Xuan Guang, Raymond W. Yeung
doaj   +4 more sources

On Vector Random Linear Network Coding in Wireless Broadcasts [PDF]

open access: goldEntropy
Compared with scalar linear network coding (LNC) formulated over the finite field GF(2L), vector LNC offers enhanced flexibility in the code design by enabling linear operations over the vector space GF(2)L and demonstrates a number of advantages over ...
Rina Su   +3 more
doaj   +3 more sources

Reciprocity in Linear Deterministic Networks under Linear Coding [PDF]

open access: green2009 IEEE Information Theory Workshop on Networking and Information Theory, 2009
The linear deterministic model has been used recently to get a first order understanding of many wireless communication network problems. In many of these cases, it has been pointed out that the capacity regions of the network and its reciprocal (where the communication links are reversed and the roles of the sources and the destinations are swapped ...
Adnan Raja   +2 more
openalex   +5 more sources

Forms and Linear Network Codes [PDF]

open access: green, 2013
We present a general theory to obtain linear network codes utilizing forms and obtain explicit families of equidimensional vector spaces, in which any pair of distinct vector spaces intersect in the same small dimension. The theory is inspired by the methods of the author utilizing the osculating spaces of Veronese varieties.
Johan P. Hansen
openalex   +5 more sources

Circular-Shift Linear Network Coding [PDF]

open access: green2017 IEEE International Symposium on Information Theory (ISIT), 2018
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 $L$-dimensional circular-shift linear code of degree $ $ restricts its local encoding kernels to be the summation of at ...
Hanqi Tang   +4 more
openalex   +7 more sources

Vector network coding based on subspace codes outperforms scalar linear network coding [PDF]

open access: greenIEEE Transactions on Information Theory, 2016
This paper considers vector network coding solutions based on rank-metric codes and subspace codes. The main result of this paper is that vector solutions can significantly reduce the required alphabet size compared to the optimal scalar linear solution for the same multicast network. The multicast networks considered in this paper have one source with
Tuvi Etzion, Antonia Wachter-Zeh
openalex   +6 more sources

State-Secrecy Codes for Networked Linear Systems [PDF]

open access: greenIEEE Transactions on Automatic Control, 2017
In this paper, we study the problem of remote state estimation, in the presence of a passive eavesdropper. An authorized user estimates the state of an unstable linear plant, based on the packets received from a sensor, while the packets may also be intercepted by the eavesdropper.
Anastasios Tsiamis   +2 more
openalex   +4 more sources

A Cloud-Assisted Random Linear Network Coding Medium Access Control Protocol for Healthcare Applications [PDF]

open access: yesSensors, 2014
Relay sensor networks are often employed in end-to-end healthcare applications to facilitate the information flow between patient worn sensors and the medical data center. Medium access control (MAC) protocols, based on random linear network coding (RLNC)
Elli Kartsakli   +3 more
doaj   +2 more sources

RS-RLNC: A Reinforcement Learning-Based Selective Random Linear Network Coding Framework for Tactile Internet [PDF]

open access: goldIEEE Access, 2023
Tactile Internet (TI) has very stringent networking requirements and the transport layer plays a crucial role in meeting these requirements. However, the transport layer has several inherent limitations (e.g., bufferbloat, incast issue, and head of line ...
Shahzad   +3 more
doaj   +2 more sources

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