Data structure implementing Gaussian Prime Field and operations on it
Example of using the module (output of "examples.jl")
~ % julia examples.jl
a = 3₅
b = 2₅
a + b = 0₅
a - b = 1₅
a * b = 1₅
a / b = 4₅
Addition:
+ | 0₅ | 1₅ | 2₅ | 3₅ | 4₅ |
0₅ | 0₅ | 1₅ | 2₅ | 3₅ | 4₅ |
1₅ | 1₅ | 2₅ | 3₅ | 4₅ | 0₅ |
2₅ | 2₅ | 3₅ | 4₅ | 0₅ | 1₅ |
3₅ | 3₅ | 4₅ | 0₅ | 1₅ | 2₅ |
4₅ | 4₅ | 0₅ | 1₅ | 2₅ | 3₅ |
Multiplication:
* | 0₅ | 1₅ | 2₅ | 3₅ | 4₅ |
0₅ | 0₅ | 0₅ | 0₅ | 0₅ | 0₅ |
1₅ | 0₅ | 1₅ | 2₅ | 3₅ | 4₅ |
2₅ | 0₅ | 2₅ | 4₅ | 1₅ | 3₅ |
3₅ | 0₅ | 3₅ | 1₅ | 4₅ | 2₅ |
4₅ | 0₅ | 4₅ | 3₅ | 2₅ | 1₅ |
x = Main.GPF.GP{5}[1₅ 2₅; 3₅ 4₅]
det(x) = 3₅