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Reductions Between Code Equivalence Problems

open access: yes2025 IEEE International Symposium on Information Theory (ISIT)
In this paper we present two reductions between variants of the Code Equivalence problem. We give polynomial-time Karp reductions from Permutation Code Equivalence (PCE) to both Linear Code Equivalence (LCE) and Signed Permutation Code Equivalence (SPCE).
Mahdi Cheraghchi   +2 more
openaire   +3 more sources

An Equivalence between Secure Network and Index Coding

open access: yes2016 IEEE Globecom Workshops (GC Wkshps), 2016
We extend the equivalence between network coding and index coding by Effros, El Rouayheb, and Langberg to the secure communication setting in the presence of an eavesdropper. Specifically, we show that the most general versions of secure network-coding setup by Chan and Grant and the secure index-coding setup by Dau, Skachek, and Chee, which also ...
Lawrence Ong   +3 more
openaire   +3 more sources

Generalized Segmented Bit-Flipping Scheme for Successive Cancellation Decoding of Polar Codes With Cyclic Redundancy Check

open access: yesIEEE Access, 2019
As a new flavor for the successive cancellation decoding of polar codes, bit-flipping technology can be used to improve the frame error rate performance of polar codes at moderate code lengths.
Shibao Li   +5 more
doaj   +1 more source

Tanner (3, 23)-Regular QC-LDPC Codes: Cycle Structure and Girth Distribution

open access: yesIEEE Access
This paper studies a class of quasi-cyclic LDPC (QC-LDPC) codes, i.e., Tanner (3, 23)-regular QC-LDPC codes of code length $23p$ with $p$ being a prime and $p \equiv 1 (\mathrm {mod} 69)$ .
Qi Wang   +5 more
doaj   +1 more source

Biological nomenclature terms for facilitating communication in the naming of organisms

open access: yesZooKeys, 2012
A set of terms recommended for use in facilitating communication in biological nomenclature is presented as a table showing broadly equivalent terms used in the traditional Codes of nomenclature.
John David   +14 more
doaj   +1 more source

Iron and Nickel spectral opacity calculations in conditions relevant for pulsating stellar envelopes and experiments

open access: yesEPJ Web of Conferences, 2013
Seismology of stars is strongly developing. To address this question we have formed an international collaboration, OPAC, to perform specific experimental measurements, compare opacity calculations, and improve the opacity calculations in stellar codes ...
Gilles D.   +20 more
doaj   +1 more source

Code Equivalence, Point Set Equivalence, and Polynomial Isomorphism

open access: yesCoRR
minor corrections and clarifications; section 9 has been expanded slightly; 26 ...
openaire   +2 more sources

On the equivalence between additive and linear codes

open access: yesCoRR
Additive codes have attracted considerable attention for their potential to outperform linear codes. However, distinguishing strictly additive codes from those that are equivalent to linear codes remains a fundamental challenge. To resolve this ambiguity, we introduce a deterministic test that requires only the generator matrix of the code.
Kanat Abdukhalikov, Duy Ho
openaire   +2 more sources

Conics Through Inequivalent 5-Arcs in PG(2, 32)

open access: yesمجلة بغداد للعلوم
A k-arcs is usually defined to be a set of k points in the projective plane such that some lines meets K in two points. A conic is an irreducible plane quadric curve with six terms.
Zainab Abbas Khalaf   +1 more
doaj   +1 more source

Identifying cerebral palsy from routinely-collected data in England and Wales

open access: yesClinical Epidemiology, 2019
Bethan Carter,1 C Verity Bennett,1 Jackie Bethel,1 Hywel M Jones,1 Ting Wang,2 Alison Kemp11Division of Population Medicine, School of Medicine, Cardiff University, Cardiff, UK; 2Swansea Medical School, Swansea University, Swansea, UKPurpose: An ...
Carter B   +5 more
doaj  

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