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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id-itb.:339472019-01-31T10:57:19ZBASIS NORMAL WEAKLY SELF-DUAL Irwansyah Matematika Indonesia Theses Normal bases, Self-dual normal bases, Weakly self-dual normal bases. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/33947 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. text |
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Institut Teknologi Bandung |
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Institut Teknologi Bandung Library |
| continent |
Asia |
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Indonesia Indonesia |
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Institut Teknologi Bandung |
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Digital ITB |
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Indonesia |
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Matematika |
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Matematika Irwansyah BASIS NORMAL WEAKLY SELF-DUAL |
| description |
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. |
| format |
Theses |
| author |
Irwansyah |
| author_facet |
Irwansyah |
| author_sort |
Irwansyah |
| title |
BASIS NORMAL WEAKLY SELF-DUAL |
| title_short |
BASIS NORMAL WEAKLY SELF-DUAL |
| title_full |
BASIS NORMAL WEAKLY SELF-DUAL |
| title_fullStr |
BASIS NORMAL WEAKLY SELF-DUAL |
| title_full_unstemmed |
BASIS NORMAL WEAKLY SELF-DUAL |
| title_sort |
basis normal weakly self-dual |
| url |
https://digilib.itb.ac.id/gdl/view/33947 |
| _version_ |
1823637461168816128 |