Background

• This project aims to:

1. search for primitive polynomials over given finity field 'GF(p^m)'
2. judge whether a polynomial is primitive or not

• The project is based on Flask and Galois.
• Many Thanks to the Authors!

Installation

• Before you first use this application, please type the following commands to initialize it:

1. 'chmod +x run.sh'
2. './run.sh'

Usage

• Please type the following commands to start this program:

1. '. venv/bin/activate'
2. 'python app.py'

• Then click on the link 'http://localhost:5050/'.
• The website provides five services:

1. Find All: Search For All Primitive Polynomials over GF(p^m)
2. Find One: Search For A Primitive Polynomial over GF(p^m)
3. Num-Term: Search For Num-Term Primitive Polynomials Over GF(p^m)
4. Conway: Select A Conway Polynomial Over GF(p)
5. Judge: Judge Whether A Polynomial Is Primitive Over GF(p^m)

• Please select a item of the navbar by clicking on it.
• Then set values for arguments on the selected page:

1. GF: 'characteristic^degree', such as '2','2^7','3^11'.
   characteristic must be a prime and degree must be a positive number
2. Degree: the degree of the polynomials to be shown, which must be a positive number
3. Limit: the number of polynomials to be shown, which must be a positive number or '-1'(All)
4. Method: five options: 'order', 'reverse', 'random', 'min, and 'max'
5. Submit: submit the arguments you have input
6. Number Of Term: the number of term of the polynomials to be shown, which must be a positive number
7. Characteristic: the characteristic of the prime field, which must be a prime
8. Expression: the expression of polynomial, such as 'x', 'x^5+x^7+x^19+8x^9'

• Please type 'Ctrl-C' to quit

Maintainer

CanisMinor-1037