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...
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| 格式: | Theses |
| 語言: | Indonesia |
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| 在線閱讀: | https://digilib.itb.ac.id/gdl/view/33947 |
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| 總結: | 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. |
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