**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**6

# Search results for: automorphism

##### 6 Skew Cyclic Codes over Fq+uFq+…+uk-1Fq

**Abstract:**

*R*=

*F*+

_{q}*uF*+…+

_{q}*u*

^{k-}^{1}

*F*, where

_{q}*q*is a prime power. A Gray map

*ɸ*from

*R*to

*F*and a Gray map

_{q}*ɸ'*from

*R*to

^{n}*F*are defined, as well as an automorphism

^{n}_{q}*Θ*over

*R*. It is proved that the images of skew cyclic codes over

*R*under map

*ɸ'*and

*Θ*are cyclic codes over

*F*, and they still keep the dual relation.

_{q}**Keywords:**
skew cyclic code,
gray map,
automorphism,
cyclic code

##### 5 Restrictedly-Regular Map Representation of n-Dimensional Abstract Polytopes

**Authors:**
Antonio Breda d’Azevedo

**Abstract:**

**Keywords:**
abstract polytope,
automorphism group,
N-simplicies,
symmetry

##### 4 A Characterization of Skew Cyclic Code with Complementary Dual

**Authors:**
Eusebio Jr. Lina,
Ederlina Nocon

**Abstract:**

**Keywords:**
LCD cyclic codes,
skew cyclic LCD codes,
skew cyclic complementary dual codes,
theta-cyclic codes with complementary duals

##### 3 Jacobson Semisimple Skew Inverse Laurent Series Rings

**Authors:**
Ahmad Moussavi

**Abstract:**

**Keywords:**
skew polynomial rings,
Laurent series,
skew inverse Laurent series rings

##### 2 Neural Network Approach for Solving Integral Equations

**Authors:**
Bhavini Pandya

**Abstract:**

**Keywords:**
feed forward,
gradient descent,
neural network,
integral equation

##### 1 Multifractal Behavior of the Perturbed Cerbelli-Giona Map: Numerical Computation of ω-Measure

**Authors:**
Ibrahim Alsendid,
Rob Sturman,
Benjamin Sharp

**Abstract:**

**Keywords:**
Discrete-time dynamical systems,
Fractal geometry,
Multifractal behaviour of the Perturbed map,
Multifractal of Dynamical systems