POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS
Let p be a prime, and q = pn be a prime power. This thesis considers maximum Sidon sets that can be derived from group (Fq Fq), and its parametrization by polynomials in Fq[x]. In this thesis, derivations of some criteria for determining the polynomials that can be a part of a maximum Sidon set c...
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id-itb.:595842021-09-13T14:25:08ZPOLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS Afifurrahman, Muhammad Indonesia Theses Sidon sets, finite fields, polynomial, elliptic curve INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/59584 Let p be a prime, and q = pn be a prime power. This thesis considers maximum Sidon sets that can be derived from group (Fq Fq), and its parametrization by polynomials in Fq[x]. In this thesis, derivations of some criteria for determining the polynomials that can be a part of a maximum Sidon set can be found. These criteria may be used to prove that some classes of monomials and cubic polynomials over Fp[x] can not be a part of a maximum Sidon set over Fp Fp. Furthermore, the connection between these criteria and elliptic curve over Fq is also explored. text |
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Indonesia Indonesia |
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Indonesia |
| description |
Let p be a prime, and q = pn be a prime power. This thesis considers maximum
Sidon sets that can be derived from group (Fq Fq), and its parametrization by
polynomials in Fq[x]. In this thesis, derivations of some criteria for determining the
polynomials that can be a part of a maximum Sidon set can be found. These criteria
may be used to prove that some classes of monomials and cubic polynomials over
Fp[x] can not be a part of a maximum Sidon set over Fp Fp. Furthermore, the
connection between these criteria and elliptic curve over Fq is also explored. |
| format |
Theses |
| author |
Afifurrahman, Muhammad |
| spellingShingle |
Afifurrahman, Muhammad POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS |
| author_facet |
Afifurrahman, Muhammad |
| author_sort |
Afifurrahman, Muhammad |
| title |
POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS |
| title_short |
POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS |
| title_full |
POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS |
| title_fullStr |
POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS |
| title_full_unstemmed |
POLYNOMIAL PARAMETRIZATIONS FOR SOME CLASSES OF MAXIMUM SIDON SETS OVER FINITE FIELDS |
| title_sort |
polynomial parametrizations for some classes of maximum sidon sets over finite fields |
| url |
https://digilib.itb.ac.id/gdl/view/59584 |
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1822931113762357248 |