A General Approach to Construction and Determination of the Linear Complexity of Sequences Based on Cosets

نویسندگان

  • Ayça Çesmelioglu
  • Wilfried Meidl
چکیده

We give a general approach to N -periodic sequences over a finite field Fq constructed via a subgroup D of the group of invertible elements modulo N . Well known examples are Legendre sequences or the two-prime generator. For some generalizations of sequences considered in the literature and for some new examples of sequence constructions we determine the linear complexity.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A general construction of Reed-Solomon codes based on generalized discrete Fourier transform

In this paper, we employ the concept of the Generalized Discrete Fourier Transform, which in turn relies on the Hasse derivative of polynomials, to give a general construction of Reed-Solomon codes over Galois fields of characteristic not necessarily co-prime with the length of the code. The constructed linear codes  enjoy nice algebraic properties just as the classic one.

متن کامل

A New High-order Takagi-Sugeno Fuzzy Model Based on Deformed Linear Models

Amongst possible choices for identifying complicated processes for prediction, simulation, and approximation applications, high-order Takagi-Sugeno (TS) fuzzy models are fitting tools. Although they can construct models with rather high complexity, they are not as interpretable as first-order TS fuzzy models. In this paper, we first propose to use Deformed Linear Models (DLMs) in consequence pa...

متن کامل

Developing a fuzzy group decision making approach for project manager selection considering the static complexity of construction projects

Due to the particular importance of projects in human life and in organizations, proper project management has been always regarded highly by researchers and practitioners. Recent advances in technology and fundamental changes in most scientific areas have affected projects and made their nature and environmental circumstances much more complex than in the past. Fortunately, in recent years, ma...

متن کامل

A Software for Prediction of Periodic Response of Non-linear Multi Degree of Freedom Rotors Based on Harmonic Balances

It is the purpose of this paper to introduce a computer software that is developed for the analysis of general multi degree of freedom rotor bearing systems with non-linear support elements. A numerical-analytical method for the prediction of steady state periodic response of large order nonlinear rotor dynamic systems is addressed which is based on the harmonic balance technique. By utilizing ...

متن کامل

تئوری پیچیدگی و رویکرد کلاژیسم در سیستم های ژئومورفیک

Complexity Theory and Collagist Approach in Geomorphic Systems Introduction Now, scientists know the world as complex systems that predict consequences of it is so difficult. In this situation, the systems operated by rotation manner in which chaos is order and discipline leads to chaos. Nowadays, simple idea of ​​how the world work change and convert to complex and paradoxical idea. This i...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010