| Presentation | 2017-09-08 A Strongly Secure Secret Sharing Scheme with Ramp Threshold Forms a Maximum Distance Separable Code Mikihiko Nishiara, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is known that ideal secret sharing schemes can be constructed from MDS (maximum distance separable) codes on a finite field. It is also known that strong secure secret sharing schemes with ramp threshold can be constructed from MDS codesif the pieces of secret and the shares take its values in a finite field. In this manuscript, we prove that any strong secure secret sharing scheme with ramp threshold has a structure ofan MDS code on a finite set that has no algebraic structure. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | secret sharing schemes / maximum distance separable codes / orthogonal arrays |
| Paper # | IT2017-43 |
| Date of Issue | 2017-09-01 (IT) |
| Conference Information | |
| Committee | IT |
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| Conference Date | 2017/9/8(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Centcore Yamaguchi Hotel |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | error correcting codes, general |
| Chair | Masayoshi Ohashi(Fukuoka Univ.) |
| Vice Chair | Jun Muramatsu(NTT) |
| Secretary | Jun Muramatsu(Yokohama College of Commerce) |
| Assistant | Sigeaki Kuzuoka(wakayama univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Strongly Secure Secret Sharing Scheme with Ramp Threshold Forms a Maximum Distance Separable Code |
| Sub Title (in English) | |
| Keyword(1) | secret sharing schemes |
| Keyword(2) | maximum distance separable codes |
| Keyword(3) | orthogonal arrays |
| 1st Author's Name | Mikihiko Nishiara |
| 1st Author's Affiliation | Shinshu University(Shinshu Univ.) |
| Date | 2017-09-08 |
| Paper # | IT2017-43 |
| Volume (vol) | vol.117 |
| Number (no) | IT-208 |
| Page | pp.pp.27-30(IT), |
| #Pages | 4 |
| Date of Issue | 2017-09-01 (IT) |