ONTHEARITHMETICOFENDOMORPHISMRINGEnd(Zp2×Zp) ANDITSRSAVARIANTS

Authors

  • NingJauharotul Farida AlgebraResearchGroup, FacultyofMathematicsandNaturalSciences, InstitutTeknologiBandung,JalanGaneshaNo10, Bandung,JawaBarat,40132, INDONESIA
  • Irawati . AlgebraResearchGroup, FacultyofMathematicsandNaturalSciences, InstitutTeknologiBandung,JalanGaneshaNo10, Bandung,JawaBarat,40132, INDONESIA

DOI:

https://doi.org/10.56827/SEAJMMS.2023.1902.04

Keywords:

Endomorphismring,RSA,monoid,cryptosystem,noncommutativering.

Abstract

Bergman(1974)foundthatforanyprimenumberp,theendomorphism ringEnd(Zp×Zp2) isasemilocal ringwhichhasp5 elementsandcannotbeembeddedinmatricesoveranycommutativering. Lateron,Climentetal. (2011) foundthateachelementofendomorphismringEnd(Zp×Zp2)canbeidentifiedas atwobytwomatrixofEpwherethefirstandthesecondrowentriesbelongtoZp andZp2 respectively.Bythischaracterization,LongD.T.,ThuD.T.,andThucD. N.constructedanewRSAvariantbasedonEnd(Zp×Zp2)(2013). Inthispaper, westatethecharacteristicoftheendomorphismringEnd(Zp2×Zp)andtheRSA analoguecryptosystembasedonit.

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Published

2023-08-30

Issue

Vol. 19 No. 02 (2023): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Articles