Results 31 to 40 of about 105,712 (106)

Network Communication with operators in Dedekind Finite and Stably Finite Rings [PDF]

, 2015
Messages in communication networks often are considered as "discrete" taking values in some finite alphabet (e.g. a finite field). However, if we want to consider for example communication based on analogue signals, we will have to consider messages that
Riis, S
core   +1 more source

The dual of convolutional codes over $\mathbb{Z}_{p^r}$

, 2016
An important class of codes widely used in applications is the class of convolutional codes. Most of the literature of convolutional codes is devoted to con- volutional codes over finite fields.
Napp, Diego, Oued, Mohammed El, Pinto, Raquel, Toste, Marisa   +3 more
core   +1 more source

Solving Shift Register Problems over Skew Polynomial Rings using Module Minimisation [PDF]

, 2015
For many algebraic codes the main part of decoding can be reduced to a shift register synthesis problem. In this paper we present an approach for solving generalised shift register problems over skew polynomial rings which occur in error and erasure ...
Li, Wenhui, Nielsen, Johan S. R., Puchinger, Sven, Sidorenko, Vladimir   +3 more
core   +4 more sources

Analysis of cubic permutation polynomials for turbo codes

, 2012
Quadratic permutation polynomials (QPPs) have been widely studied and used as interleavers in turbo codes. However, less attention has been given to cubic permutation polynomials (CPPs).
D. Tărniceriu, Daniela Tarniceriu, G. H. Hardy, H. Zhao, H. Zhao, J. G. Proakis, J. Ryu, J. Sun, J. Yuan, Lucian Trifina, R. Garello, S. Benedetto, Y. O. Takeshita, Y. O. Takeshita, Y.-L. Chen   +14 more
core   +1 more source

Information Storage in the Stochastic Ising Model

, 2018
Most information systems store data by modifying the local state of matter, in the hope that atomic (or sub-atomic) local interactions would stabilize the state for a sufficiently long time, thereby allowing later recovery.
Bresler, Guy, Goldfeld, Ziv, Polyanskiy, Yury   +2 more
core   +1 more source

Application-Oriented Study of Next-Generation Alternant Codes over Gaussian Integers for Secure and Efficient Communication

Mathematics
This paper presents the construction and analysis of a novel class of alternant codes over Gaussian integers, aimed at enhancing error correction capabilities in high-reliability communication systems.
Muhammad Sajjad, Nawaf A. Alqwaifly
doaj   +1 more source

Fourier-Reflexive Partitions and MacWilliams Identities for Additive Codes [PDF]

, 2013
A partition of a finite abelian group gives rise to a dual partition on the character group via the Fourier transform. Properties of the dual partitions are investigated and a convenient test is given for the case that the bidual partition coincides the ...
Gluesing-Luerssen, Heide
core  

On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]

Entropy (Basel)
Saif SH, Alhomaidhi AA.
europepmc   +1 more source

Explicit error coding can mediate gain recalibration in continuous bump attractor networks. [PDF]

Nat Commun
Secer G, Knierim JJ, Cowan NJ.
europepmc   +1 more source

The MacWilliams Identity for the m-Spotty Weight Enumerators over ZpRk. [PDF]

Entropy (Basel)
Wang J, Jiang A, Solé P.
europepmc   +1 more source