Composite Matrices from Group Rings, Composite G-Codes and Constructions of Self-Dual Codes
Name:
Composite Matrices from Group ...
Embargo:
2022-05-19
Size:
354.5Kb
Format:
PDF
Request:
Main Article
Affiliation
University of Scranton; University of Chester; Harmony School of TechnologyPublication Date
2021-05-19Metadata
Show full item recordAbstract
In this work, we define composite matrices which are derived from group rings. We extend the idea of G-codes to composite G-codes. We show that these codes are ideals in a group ring, where the ring is a finite commutative Frobenius ring and G is an arbitrary finite group. We prove that the dual of a composite G-code is also a composite G-code. We also define quasi-composite G-codes. Additionally, we study generator matrices, which consist of the identity matrices and the composite matrices. Together with the generator matrices, the well known extension method, the neighbour method and its generalization, we find extremal binary self-dual codes of length 68 with new weight enumerators for the rare parameters $\gamma$ = 7; 8 and 9: In particular, we find 49 new such codes. Moreover, we show that the codes we find are inaccessible from other constructions.Citation
Dougherty, S. T., Gildea, J., Korban, A., & Kaya, A. (2021). Composite matrices from group rings, composite G-Codes and constructions of self-dual codes. Designs, Codes and Cryptography, 89, 1615-1638. https://doi.org/10.1007/s10623-021-00882-8Publisher
SpringerJournal
Designs, Codes and CryptographyAdditional Links
https://link.springer.com/article/10.1007/s10623-021-00882-8Type
ArticleDescription
This document is the Accepted Manuscript version of a published work that appeared in final form in Designs, Codes and Cryptography. To access the final edited and published work see http://dx.doi.org/10.1007/s10623-021-00882-8ISSN
0925-1022EISSN
1573-7586Scopus Count
Collections
Except where otherwise noted, this item's license is described as https://creativecommons.org/licenses/by-nc-nd/4.0/
Related items
Showing items related by title, author, creator and subject.
-
A review of composite product data interoperability and product life-cycle management challenges in the composites industryA review of composite product data interoperability and product life-cycle management challenges is presented, which addresses “Product Life-cycle Management”, developments in materials. The urgent need for this is illustrated by the life-cycle management issues faced in modern military aircraft, where in-service failure of composite parts is a problem, not just in terms of engineering understanding, but also in terms of the process for managing and maintaining the fleet. A demonstration of the use of ISO 10303-235 for a range of through-life composite product data is reported. The standardization of the digital representation of data can help businesses to automate data processing. With the development of new materials, the requirements for data information models for materials properties are evolving, and standardization drives transparency, improves the efficiency of data analysis, and enhances data accuracy. Current developments in Information Technology, such as big data analytics methodologies, have the potential to be highly transformative.
-
Integration and Characterisation of Piezoelectric Macro-Fibre Composite on Carbon Fibre Composite for Vibration Energy HarvestingCarbon fibre composite is a strong and a lightweight structural material with applications in automotive, aerospace, medical and industrial applications. The integration of piezoelectric transducer films onto the composite stack can add vibration energy harvesting capabilities to enable net-zero-power autonomous sensing for an otherwise purely mechanical structure. A PZT macro-fibre composite is co-cured with a carbon/epoxy pre-preg in order to manufacture the multi-functional composite plate. Without noticeably increasing profile, adding weight or compromising mechanical integrity, the resultant mechanical plate can recover power from vibrational excitations. With a volume of 13.5 cm3, a peak average power of 9.25 mW was recorded at 2.66 ms −2 . The normalised power density of 97 µW cm −3 m −2 s4 is comparable to some of the state-of-the-art PZT generators reported in the literature.
-
Multiphysics vibration FE model of piezoelectric macro fibre composite on carbon fibre composite structuresThis paper presents a finite element (FE) model developed using commercial FE software COMSOL to simulate the multiphysical process of pieozoelectric vibration energy harvesting (PVEH), involving the dynamic mechanical and electrical behaviours of piezoelectric macro fibre composite (MFC) on carbon fibre composite structures. The integration of MFC enables energy harvesting, sensing and actuation capabilities, with applications found in aerospace, automotive and renewable energy. There is an existing gap in the literature on modelling the dynamic response of PVEH in relation to real-world vibration data. Most simulations were either semi-analytical MATLAB models that are geometry unspecific, or basic FE simulations limited to sinusoidal analysis. However, the use of representative environment vibration data is crucial to predict practical behaviour for industrial development. Piezoelectric device physics involving solid mechanics and electrostatics were combined with electrical circuit defined in this FE model. The structure was dynamically excited by interpolated vibration data files, while orthotropic material properties for MFC and carbon fibre composite were individually defined for accuracy. The simulation results were validated by experiments with <10﹪ deviation, providing confidence for the proposed multiphysical FE model to design and optimise PVEH smart composite structures.
