MDS Ideal Secret Sharing Scheme from AG-codes on Elliptic Curves
| dc.creator | Chen, Hao | |
| dc.date | 2006-08-14 | |
| dc.date | 2006-09-03 | |
| dc.date.accessioned | 2026-07-07T07:19:59Z | |
| dc.date.available | 2026-07-07T07:19:59Z | |
| dc.description | For a secret sharing scheme, two parameters $d_{min}$ and $d_{cheat}$ are defined in [12] and [13]. These two parameters measure the error-correcting capability and the secret-recovering capability of the secret sharing scheme against cheaters. Some general properties of the parameters have been studied in [12,[9] and [13]. The MDS secret-sharing scheme was defined in [12] and it is proved that MDS perfect secret sharing scheme can be constructed for any monotone access structure. The famous Shamir $(k,n)$ threshold secret sharing scheme is the MDS with $d_{min}=d_{cheat}=n-k+1$. In [3] we proposed the linear secret sharing scheme from algebraic-geometric codes. In this paper the linear secret sharing scheme from AG-codes on elliptic curves is studied and it is shown that many of them are MDS linear secret sharing scheme. | |
| dc.identifier | https://arxiv.org/abs/cs/0608055 | |
| dc.identifier | http://arxiv.org/abs/cs/0608055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114833 | |
| dc.subject | Cryptography and Security | |
| dc.title | MDS Ideal Secret Sharing Scheme from AG-codes on Elliptic Curves | |
| dc.type | text |