Design of TCH-type sequences for communications

Almeida, Alexandre M. C. Passos de

Please use this identifier to cite or link to this item: http://hdl.handle.net/10071/5889

Author(s):	Almeida, Alexandre M. C. Passos de
Advisor:	Pedro Joaquim Amaro Sebastião Rui Miguel Henriques Dias Morgado Dinis
Date:	2012
Title:	Design of TCH-type sequences for communications
Reference:	Almeida, A. M. C. P. (2012). Design of TCH-type sequences for communications [Tese de doutoramento, Iscte - Instituto Universitário de Lisboa]. Repositório do Iscte. http://hdl.handle.net/10071/5889
ISBN:	978-989-732-213-6
Keywords:	TIC - Tecnologias da informação e comunicação Teoria dos números -- Number theory Sistema de comunicação -- Communication system Teoria dos ciclos -- Cycle theory
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
Degree:	Doutoramento em Ciências e Tecnologias da Informação
Access type:	Open Access
Appears in Collections:	T&D-TD - Teses de doutoramento

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