Finite Fields In Cryptography And Network Security

Computer and network security by avi kak lecture4 back to toc 4 1 why study finite fields.

Finite fields in cryptography and network security.

It is almost impossible to fully understand practically any facet of modern cryptography and several important aspects of general computer security if you do not know what is meant by a finite field. However finite fields play a crucial role in many cryptographic algorithms. Advanced encryption standard encryption. Services mechanisms and attacks the osi security architecture network security model classical encryption techniques symmetric cipher model substitution techniques transposition techniques steganography finite fields and number theory.

Finite fields part 3 part 3. Polynomial arithmetic theoretical underpinnings of modern cryptography lecture notes on computer and network security by avi kak kak purdue edu may7 2020 12 29noon c2020avinashkak purdueuniversity goals. Cryptography and network security chapter 4 fifth edition by william stallings lecture slides by lawrie brown chapter 4 basic concepts in number theory and finite fields the next morning at daybreak star flew indoors seemingly keen for a lesson. Cryptography and network security chapter 4 fifth edition by william stallings lecture slides by lawrie brown infinite fields are not of particular interest in the context of cryptography.

To review polynomial arithmetic polynomial arithmetic when the coefficients are. It can be shown that the order of a finite field number of elements in the field must be a power of a prime p n where n is a positive integer. Check out this document that discusses encryption and its importance in protecting various types of sensitive information. A finite field is simply a field with a finite number of elements.

I said tap eight. Finite fields are important in several areas of cryptography. This means you can find finite fields of size 5 2 25 and 3 3 27 but you can never find a finite field of size 2 13 26 because it has two different prime factors. Groups rings fields modular arithmetic euclid s algorithm finite fields polynomial arithmetic prime numbers fermat s and euler s theorem.

However cryptography has not found a use for all kinds of finite fields. It can be shown that the order of a finite field.