playground.py

import numpy as np
from BinarySymmetricChannel import BSC
from GaloisField import GaloisField
from GaloisField import GF2
from LinearBlockCode import LinearBlockCode
from CyclicCode import CyclicCode
from BCHCode import BCHCode

print("Exercise 1")
"""
A binary linear cyclic code Ccyc(n, k) has code length n = 7 and generator polynomial 
g(X) = 1 + X2 + X3 + X4.

(a) Find the code rate, the generator and parity check matrices of the code in systematic form, and its Hamming distance.
(b) If all the information symbols are ‘1’s, what is the corresponding code vector?
(c) Find the syndrome corresponding to an error in the first information symbol, and show that the code is capable of correcting this error.
"""
p = np.array([1,0,1,0,0,1])
GF25 = GaloisField(p)
GF25.printInfo()

print("Exercise 2")
"""
A binary linear cyclic code Ccyc(n, k) has code length n = 7 and generator polynomial 
g(X) = 1 + X2 + X3 + X4.

(a) Find the code rate, the generator and parity check matrices of the code in systematic form, and its Hamming distance.
(b) If all the information symbols are ‘1’s, what is the corresponding code vector?
(c) Find the syndrome corresponding to an error in the first information symbol, and show that the code is capable of correcting this error.
"""
g = np.array([1,0,1,1,1])
cc = CyclicCode(g, 7)
cc.printInfo()