Scientific Research An Academic Publisher
OPEN ACCESS
Add your e-mail address to receive free newsletters from SCIRP.
Select Journal AA AAD AAR AASoci AAST ABB ABC ABCR ACES ACS ACT AD ADR AE AER AHS AID AiM AIT AJAC AJC AJCC AJCM AJIBM AJMB AJOR AJPS ALAMT ALC ALS AM AMI AMPC ANP APD APE APM ARS ARSci AS ASM BLR CC CE CellBio ChnStd CM CMB CN CRCM CS CSTA CUS CWEEE Detection EMAE ENG EPE ETSN FMAR FNS GEP GIS GM Graphene GSC Health IB ICA IIM IJAA IJAMSC IJCCE IJCM IJCNS IJG IJIDS IJIS IJMNTA IJMPCERO IJNM IJOC IJOHNS InfraMatics JACEN JAMP JASMI JBBS JBCPR JBiSE JBM JBNB JBPC JCC JCDSA JCPT JCT JDAIP JDM JEAS JECTC JEMAA JEP JFCMV JFRM JGIS JHEPGC JHRSS JIBTVA JILSA JIS JMF JMGBND JMMCE JMP JPEE JQIS JSBS JSEA JSEMAT JSIP JSS JSSM JST JTR JTST JTTs JWARP LCE MC ME MI MME MNSMS MPS MR MRC MRI MSA MSCE NJGC NM NR NS OALib OALibJ ODEM OJA OJAB OJAcct OJAnes OJAP OJApo OJAppS OJAPr OJAS OJBD OJBIPHY OJBM OJC OJCB OJCD OJCE OJCM OJD OJDer OJDM OJE OJEE OJEM OJEMD OJEpi OJER OJF OJFD OJG OJGas OJGen OJI OJIC OJIM OJINM OJL OJM OJMC OJMetal OJMH OJMI OJMIP OJML OJMM OJMN OJMP OJMS OJMSi OJN OJNeph OJO OJOG OJOGas OJOp OJOph OJOPM OJOTS OJPathology OJPC OJPChem OJPed OJPM OJPP OJPS OJPsych OJRA OJRad OJRD OJRM OJS OJSS OJSST OJST OJSTA OJTR OJTS OJU OJVM OPJ POS PP PST PSYCH SAR SCD SGRE SM SN SNL Soft SS TEL TI UOAJ VP WET WJA WJCD WJCMP WJCS WJET WJM WJNS WJNSE WJNST WJV WSN YM
More>>
E. Bach and J. Shallit, “Efficient Algorithm,” Algorithmic Number Theory, Vol. 1, MIT Press, Cambridge, MA, 1996.
has been cited by the following article:
TITLE: Protection of Sensitive Messages Based on Quadratic Roots of Gaussians: Groups with Complex Modulus
AUTHORS: Boris S. Verkhovsky
KEYWORDS: Complex Modulus; Computational Efficiency; Cryptographic Algorithm; Digital Isotopes; Multiplicative Control Parameter; Octadic Roots, Quartic Roots, Rabin Algorithm, Reduction of Complexity, Resolventa, Secure Communication, Square Roots
JOURNAL NAME: International Journal of Communications, Network and System Sciences, Vol.4 No.5, May 12, 2011
ABSTRACT: This paper considers three algorithms for the extraction of square roots of complex integers {called Gaussians} using arithmetic based on complex modulus p + iq. These algorithms are almost twice as fast as the analogous algorithms extracting square roots of either real or complex integers in arithmetic based on modulus p, where is a real prime. A cryptographic system based on these algorithms is provided in this paper. A procedure reducing the computational complexity is described as well. Main results are explained in several numeric illustrations.
Related Articles:
Predicting Cork Oak Suitability in Maâmora Forest Using Random Forest Algorithm
Said Lahssini, Hicham Lahlaoi, Hicham Mharzi Alaoui, El Aid Hlal, Martino Bagaram, Quentin Ponette
DOI: 10.4236/jgis.2015.72017 3,388 Downloads 4,182 Views Citations
Pub. Date: April 20, 2015
String Theory with Oscillating Space-Time Dimension Number
Ding-Yu Chung
DOI: 10.4236/jmp.2014.56056 3,675 Downloads 4,897 Views Citations
Pub. Date: April 28, 2014
The Ordinal Interpretation of the Integers and Its Use in Number Theory
Nathan Thomas Hamlin
DOI: 10.4236/ojdm.2019.94013 236 Downloads 387 Views Citations
Pub. Date: October 28, 2019
Towards Science Unification through Number Theory
F. M. Sanchez, M. H. Grosmann, R. Veysseyre, H. Veysseyre, D. Weigel
DOI: 10.4236/apm.2021.111004 41 Downloads 141 Views Citations
Pub. Date: January 25, 2021
Comment on the Paper “Condom-Assisted Transurethral Resection: A New Surgical Technique for Urethral Tumor”, Surgical Science, Vol. 1, 2010, pp. 46-48
Guven Aslan
DOI: 10.4236/ss.2011.24042 4,535 Downloads 7,499 Views Citations
Pub. Date: June 23, 2011
