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Research Article

DIGITAL TIME: A FINITE FIELD, $T_\mathbb{F}$

G
G. Manikandan Department of Mathematics, St. Joseph s Institute of Technology, OMR, Chennai - 600119, Tamil Nadu, INDIA
K
K. Srinivasa Rao Institute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai - 600113, INDIA
Volume 10, Issue 1 Pages 167-172 December 30, 2022 358 downloads
Article overview

Abstract

Digital time was defined KSR-PP [2] with three two-digit positions as $h_2h_1 : m_2m_1 : s_2s_1$. It was identified with appropriate restricted place values on the hours $(H)$, minutes $(M)$ and seconds $(S)$ shown to be $86400$-element cyclic Time Group, $T_G$. Here it is shown to be a finite time field, $T_\mathbb{F}$. A palindromic sequence of $119$-elements and its sub-sequences are shown to be consequences of $T_F$.

Keywords and Phrases

Digital TimeFinite FieldOrder of ElementsPalindromic Sequence.

AMS Subject Classification

05C25, 20F65.

Reference information

How to Cite

G. Manikandan, K. Srinivasa Rao (2022). DIGITAL TIME: A FINITE FIELD, $T_\mathbb{F}$. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(1), 167-172.
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