DIGITAL TIME: A FINITE FIELD, TF

G. . Manikandan; K. Srinivasa . Rao

doi:10.56827/JRSMMS.2022.1001.14

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 & Director (Hon.), Srinivasa Ramanujan Academy of Maths Talent, 90/1, Second Main Road, Gandhi Nagar, Adyar, Chennai - 600020, INDIA

DOI: https://doi.org/10.56827/JRSMMS.2022.1001.14

Keywords: Digital Time, Finite Field, Order of Elements, Palindromic Sequence.

Abstract

Digital time was defined KSR-PP [2] with three two-digit positions as h2h1 : m2m1 : s2s1. 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, TG. Here it is shown to be a finite time field, TF. A palindromic sequence of 119-elements and its sub-sequences are shown to be consequences of TF .