| Presentation | 1999/3/6 On the Independent and identically Distributed Binary Digits Generated with π and its Application for One Time Pad Cipher Yoshio NOMURA, Kentarou NAGANO, Norio KUBOTA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The present paper deals with the independent and identically distributed binary digits (iid) generated with π. π is a number of great significance and also has the strong randomness of their digits. In this study, we generate 10000 iid binary digits using the first 10000 digits of π. To find the randomness, we focus our attention on the geometric distribution in terms of the chain and gap of code "0" and "1"among the binary digits in addition to the conventional correlation test. From χ^2 hypothesis test of the said geometric distribution, we show that the digits so obtained has the iid characteristic.. An application of these digits is illustrated with one-time-pad cipher. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | iid binary digits / geometric distribution / one-time-pad cipher |
| Paper # | ET98-135 |
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| Conference Information | |
| Committee | ET |
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| Conference Date | 1999/3/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Educational Technology (ET) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On the Independent and identically Distributed Binary Digits Generated with π and its Application for One Time Pad Cipher |
| Sub Title (in English) | |
| Keyword(1) | iid binary digits |
| Keyword(2) | geometric distribution |
| Keyword(3) | one-time-pad cipher |
| 1st Author's Name | Yoshio NOMURA |
| 1st Author's Affiliation | Tokyo National College of Technology() |
| 2nd Author's Name | Kentarou NAGANO |
| 2nd Author's Affiliation | Tokyo National College of Technology |
| 3rd Author's Name | Norio KUBOTA |
| 3rd Author's Affiliation | Tokyo National College of Technology |
| Date | 1999/3/6 |
| Paper # | ET98-135 |
| Volume (vol) | vol.98 |
| Number (no) | 643 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |