Fast and Efficient Galois Field Binary Arithmetic Procedures in C/C++

We have developed algorithms and code for linear algebra and other transforms which utilize standard compiler 16-bit and 32-bit integer arithmetic. We need to transition these algorithms to Composite Finite Field Binary Arithmetic and so, in the first instance, we need a competent mathematician/ programmer to provide us with highly efficient C/C++ code procedures for Galois Field GF(q) ( p = 2, q = p^m ) arithmetic for +, -, *, and / (add, subtract, multiply and divide) for 8-bit, 10-bit, 16-bit, 24-bit and 32-bit binary words ie for m = 8, 10, 16, 24 and 32 with p = 2. Judicious use of log/look-up tables to increase calculation speed encouraged. Speed tested standalone procedures required for each of the 5 composite fields. Programmer capability needs to be tested and proven by providing code for m = 16 and 24 say, with execution times compared with a readily available ‘free’ Fast Galois Field Arithmetic Library. Mathematica notebook attached shows typical examples of linear transforms converted to Prime Finite Field GF(257) (p = 257, m = 1) arithmetic. We require to do Composite Finite Field (p=2) conversions of these type of linear transforms.

Skills: Algorithm, C++ Programming, Cryptography, Mathematics, Matlab and Mathematica

See more: gf 2 8 calculator, finite field arithmetic for cryptography, gf 2 n, irreducible polynomial gf 2 8, gf(2^8) multiplication table, galois field arithmetic, multiplicative inverse in gf(2^8), galois field c++, binary searching in c, binary search in c using function, binary search in c programming, binary search in c program, binary search in c language, binary search in c code, binary search in c algorithm

About the Employer:
( 7 reviews ) San Jose, United States

Project ID: #15555528

5 freelancers are bidding on average $87 for this job


I am very proficient in c and c++. I have 16 years c++ developing experience now, and have worked for more than 7 years. My work is online game developing, and mainly focus on server side, using c++ under Linux environ More

$100 USD in 3 days
(83 Reviews)

Hello. How are you today. I have read and understood this task. Relevant Skills and Experience I have a lots of experience and very good knowledge of Data structures, Algorithms Design,Cryptography. And I'm expert in More

$105 USD in 2 days
(132 Reviews)

Hi! I'm interesting your project very well. I am mastering c++ and I'm a good Mathematician. And also I have many experience and good skill about algorithm. Let's go ahead with me Stay tuned, I'm still working on th More

$150 USD in 3 days
(56 Reviews)

Hi, it sounds very interesting. I'm making this simple bid just to let you know that I'm interested. Prime numbers are my hobby. Relevant Skills and Experience 15 years of software development with MSc in Software En More

$30 USD in 1 day
(25 Reviews)

Hello, I have reviewed your complete project description along with the attached pdf file and I fulfill all the qualifications required for this job. i can perfectly developed algorithms and code for linear algebra an More

$50 USD in 3 days
(0 Reviews)