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

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 200

Volume : 10 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.14
Author :
G. Manikandan (Department of Mathematics, St. Joseph s Institute of Technology, OMR, Chennai - 600119, Tamil Nadu, INDIA)
K. Srinivasa Rao (Institute of Mathematical Sciences, C.I.T Campus, Taramani, Chennai - 600113, INDIA)

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 Time, Finite Field, Order of Elements, Palindromic Sequence.

A.M.S. subject classification

05C25, 20F65.

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