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http://hdl.handle.net/10071/5889
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Title: Design of tch-type sequences for communications
Authors: Almeida, Alexandre M. C. Passos de
Keywords: TIC - Tecnologias da informação e comunicação
Teoria dos números
Sistema de comunicação
Teoria dos ciclos
Issue Date: 2012
Citation: ALMEIDA, Alexandre M. C. Passos de - Design of tch-type sequences for communications [Em linha]. Lisboa: ISCTE-IUL, 2012. Tese de doutoramento. [Consult. Dia Mês Ano] Disponível em www:<http://hdl.handle.net/10071/5889>. ISBN 978-989-732-213-6.
Abstract: This thesis deals with the design of a class of cyclic codes inspired by TCH codewords. Since TCH codes are linked to finite fields the fundamental concepts and facts about abstract algebra, namely group theory and number theory, constitute the first part of the thesis. By exploring group geometric properties and identifying an equivalence between some operations on codes and the symmetries of the dihedral group we were able to simplify the generation of codewords thus saving on the necessary number of computations. Moreover, we also presented an algebraic method to obtain binary generalized TCH codewords of length N = 2k, k = 1,2, . . . , 16. By exploring Zech logarithm’s properties as well as a group theoretic isomorphism we developed a method that is both faster and less complex than what was proposed before. In addition, it is valid for all relevant cases relating the codeword length N and not only those resulting from N = pi
URI: http://hdl.handle.net/10071/5889
Thesis identifier: 101411391
ISBN: 978-989-732-213-6
Designation: Doutoramento em Ciências e Tecnologias da Informação
Appears in Collections:T&D-TD - Teses de doutoramento

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