CoCalc -- Test CRC-CCITT.ipynb

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License: MIT

unlisted

ubuntu2204

Kernel: SageMath 9.8

In [1]:

F.<a> = GF(2, name='a')
R.<x> = PolynomialRing(F, 'x')

In [7]:

p1 = x^16 + x^12 + x^5 + 1 
p1

Out[7]:

x^16 + x^12 + x^5 + 1

In [10]:

p2= x^15+x^14+x^13+x^12+x^4+x^3+x^2+x+1
p2

Out[10]:

x^15 + x^14 + x^13 + x^12 + x^4 + x^3 + x^2 + x + 1

In [13]:

p3 = (x+1)*(x^15+x^14+x^13+x^12+x^4+x^3+x^2+x+1)
p3

Out[13]:

x^16 + x^12 + x^5 + 1

In [16]:

p3 == p1

Out[16]:

True

In [14]:

p4 = p1/(x+1)
p4

Out[14]:

x^15 + x^14 + x^13 + x^12 + x^4 + x^3 + x^2 + x + 1

In [15]:

p4 == p2

Out[15]:

True