group.py

GroupElement

This is a class for finite group element.

Initialize

Initialize with group element instance.

>>>GroupElement(element_instance)

You may decide operation type(addtive 0, multiplicative 1).
If you don't decide operation type, it checks and sets proper type.

>>>GroupElement(element_instance, int)

Example

>>>Ge=GroupElement(finitefield.FinitePrimeFieldElement(18, 37), 1)

(See finitefield.py)

Operator

addmul
==Equality
opeBasic operation+*
ope2Ext operation***

Operation changes with group type, additive,0(add) or multiplicative,1(mul).

Methods

setmain(int)

Change group type for additive(0) or multiplicative(1).

>>>Ge.setmain(1)

inverse()

Return inverse element.

>>>Ge.inverse()
FinitPrimeField,FinitePrimeFieldElement(35, 37)

order()

Return group element order. It uses grouporder factorization.

>>>Ge.order()
36

t_order()

Return group element order. It uses Terr's baby-step giant-step argorithm.
You can put number of baby-step.(default: 2 times)

>>>Ge.t_order()
36

getGroup()

Return group this element belongs.

>>>Ge.getGroup()
FinitePrimeField(37)

Last-modified: 2006-04-25 (Ва) 15:52:21