Art

J-GLOBAL ID：201802222364516766   Reference number：18A0116260

On Asymptotically Good Ramp Secret Sharing Schemes

漸近的に良好なランプ秘密分散法について

Author (6)： GEIL Olav (Department of Mathematical Sciences, Aalborg University) ,  MARTIN Stefano (Department of Mathematical Sciences, Aalborg University) ,  MARTINEZ-PENAS Umberto (Department of Mathematical Sciences, Aalborg University) ,  MATSUMOTO Ryutaroh (Department of Mathematical Sciences, Aalborg University) ,  MATSUMOTO Ryutaroh (Department of Information and Communication Engineering, Nagoya University) ,  RUANO Diego (Department of Mathematical Sciences, Aalborg University)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Web)  (IEICE Trans Fundam Electron Commun Comput Sci (Web))
Volume： E100.A  Issue： 12  Page： 2699-2708(J-STAGE)  Publication year： 2017 
JST Material Number： U0466A  ISSN： 1745-1337  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *decentralization ,  linear code ,  *asymptotic behavior ,  leakage ,  analysis ,  reconstitution ,  Hamming code ,  weighting
Semi thesaurus term： parameter analysis ,  information leakage ,  algebraic geometrical code ,  secret sharing scheme ,  partial reconfiguration ,  *ランプ秘密分散法

Author keywords (4)： algebraic geometric codes ,  generalized Hamming weights ,  relative generalized Hamming weights ,  secret sharing

JST classification (2)： Code theory  (ND02030R) ,  Data protection  (JD01020V)

Reference (32)：

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• [3] G.R. Blakley and C. Meadows, “Security of ramp schemes,” Advances in Cryptology - CRYPTO 1984, Lecture Notes in Comput. Sci., vol.196, pp.242-268, 1995. 10.1007/3-540-39568-7_20
• [4] I. Cascudo, R. Cramer, and C. Xing, “Bounds on the threshold gap in secret sharing and its applications,” IEEE Trans. Inf. Theory, vol.59, no.9, pp.5600-5612, 2013. DOI: 10.1109/TIT.2013.2264504 10.1109/TIT.2013.2264504
• [5] I. Cascudo, R. Cramer, and C. Xing, “Torsion limits and Riemann-Roch systems for function fields and applications,” IEEE Trans. Inf. Theory, vol.60, no.7, pp.3871-3888, 2014. DOI: 10.1109/TIT.2014.2314099 10.1109/TIT.2014.2314099

Terms in the title (2)： ランプ ,  秘密分散法