BASIS NORMAL WEAKLY SELF-DUAL
Let Fqn and Fq be nite elds with qn and q elements, respectively, where q is a prime power and n is a positive integer. Fqn can be viewed as a vector space over Fq. One important type of bases for Fqn over Fq is self-dual normal bases, because it has many applications in coding theory and cryptog...
Saved in:
| Main Author: | |
|---|---|
| Format: | Theses |
| Language: | Indonesia |
| Subjects: | |
| Online Access: | https://digilib.itb.ac.id/gdl/view/33947 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Let Fqn and Fq be nite elds with qn and q elements, respectively, where q is a prime
power and n is a positive integer. Fqn can be viewed as a vector space over Fq. One
important type of bases for Fqn over Fq is self-dual normal bases, because it has many
applications in coding theory and cryptography, such as orthogonal transform encoding for
cyclic codes and public-key cryptography. Unfortunately, this type of bases exists in some
nite elds only, therefore we can't use it in arbitrary nite elds. To avoid this limitation,
weakly self-dual normal bases dened, which has similar property as self-dual normal bases
and has wider existence. In this thesis, we study the existence and construction of weakly
self-dual normal bases. |
|---|