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http://hdl.handle.net/11320/21438| Tytuł: | Magnitude Relation Properties of Radix-2ᵏ SD Number |
| Autorzy: | Niimura, Masaaki Fuwa, Yasushi |
| Data wydania: | 2004 |
| Data dodania: | 5-lis-2026 |
| Wydawca: | University of Białystok |
| Źródło: | Formalized Mathematics, Volume 12, Issue 1, Pages 5-8 |
| Abstrakt: | In this article, magnitude relation properties of Radix-2ᵏ SD number are discussed. Until now, the Radix-2ᵏ SD Number has been proposed for the high-speed calculations for RSA Cryptograms. In RSA Cryptograms, many modulo calculations are used, and modulo calculations need a comparison between two numbers. In this article, we discuss magnitude relation of Radix-2ᵏ SD Number. In the first section, we present some useful theorems for operations of Radix-2ᵏ SD Number. In the second section, we prove some properties of the primary numbers expressed by Radix-2ᵏ SD Number such as 0, 1, and Radix(k). In the third section, we prove primary magnitude relations between two Radix-2ᵏ SD Numbers. In the fourth section, we define Max/Min numbers in some cases. And in the last section, we prove some relations between the addition of Max/Min numbers. |
| Afiliacja: | Masaaki Niimura - Shinshu University, Nagano Yasushi Fuwa - Shinshu University, Nagano |
| URI: | http://hdl.handle.net/11320/21438 |
| ISSN: | 1426-2630 |
| Typ Dokumentu: | Article |
| metadata.dc.rights.uri: | https://creativecommons.org/licenses/by-sa/4.0/ |
| Właściciel praw: | © 2005 University of Białystok This work is licensed under the Creative Commons License. |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2004, Volume 12, Issue 1 |
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| Magnitude_Relation_Properties_of_Radix_2k_SC_Number.pdf | 76,2 kB | Adobe PDF | Otwórz |
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