New classes of nonassociative divison algebras and MRD codes

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New classes of nonassociative divison algebras and MRD codes

In the first part of the thesis, we generalize a construction by J Sheekey that employs skew polynomials to obtain new nonassociative division algebras and maximum rank distance (MRD) codes. This construction contains Albert’s twisted fields as special cases. As a byproduct, we obtain a class of non...

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Bibliographic Details
Main Author:	Thompson, Daniel
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2021
Subjects:	nonassociative algebra division algebra skew polynomial rings
Online Access:	https://eprints.nottingham.ac.uk/64396/

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