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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/59584 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | 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. |
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