By Leopoldo Garcia Vargas
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In this app we emulate the structure and behavior of the Finite Fields over the set Z_2. The elements that inhabit these fields will therefore be polynomials with coefficients identical to either one or cero. We will denote this structures by the symbol F_2^n, where 2^n is the order (number of elements) and n is the dimension of the Field when thought of as a vector space.
The emulation of the Fields includes:
-Detailed list of the elements in each field (of order less than 2^17).
-The user will be able to access the details of each individual element and of the field that’s been considered.
- Arithmetic calculations on the field of his/her choice.
-Option to vary the irreductible element that’s been used to modulate the calculations.
-Fast and trustable object oriented calculations.
-Self developed arithmetic library.
-Developed by a Mathematician.
This app will allow you to get a better comprehension of the abstract structure of the fields F_2^n.
Technical; not for casual interest!!
Got this app in the hope it would illuminate my abstract algebra material. Unfortunately, this app is not a teaching/learning tool. It will calculate order, characteristic, dimension, irreducible elements and give the binary, integer, and abstract representations. It will also do arithmetic computations when you choose two elements to operate and one to modulate. What it won't do is tell you what any of that means! For me, the app is useless. If you already know what all this is about and need a finite fields calculator, this will do it (I assume; I am in WAY over my head!). :]
- Category: Education
- Released: Feb 28, 2013
- Version: 1.0
- Size: 4.1 MB
- Language: English
- Seller: Leopoldo Garcia Vargas
- © Leopoldo García Vargas
Compatibility: Requires iOS 6.1 or later. Compatible with iPhone, iPad, and iPod touch. This app is optimized for iPhone 5.