Elliptic Curve Cryptography using a Diophantine Triple, Constructed through Tetradecagonal Numbers
Keywords:
Diophantine triples, Tetradecagonal numbers, Pell equation, Elliptic curve, Elliptic curve cryptography.Abstract
The world of Mathematics has time and again thrown mysterious patterns at us and left it for us humans to decipher and unravel the reasons for such consistency. One such structure that has left a mark in its midst is that of a polygonal number. We are all conversant with the Polygon which by mere definition shows that it is a close plane figure of three or more sides and angles. Extending this definition further takes us to Tetradecagon, which is known as a 14-sided polygon. We identified a Diophantine triple from two special Tetradecagonal numbers a, b with property Using this property, we extended our research to include Elliptic Curve Cryptography.
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