scholarly journals Optimal Multiple Assignments Based on Integer Programming in Secret Sharing Schemes with General Access Structures

2007 ◽  
Vol E90-A (1) ◽  
pp. 101-112 ◽  
Author(s):  
M. IWAMOTO ◽  
H. YAMAMOTO ◽  
H. OGAWA
Keyword(s):  
Integer Programming ◽  
Secret Sharing ◽  
Secret Sharing Schemes ◽  
Access Structures

scholarly journals Access Structures of Elliptic Secret Sharing Schemes

2008 ◽  
Vol 54 (2) ◽  
pp. 850-852 ◽  
Author(s):  
Hao Chen ◽  
San Ling ◽  
Chaoping Xing
Keyword(s):  
Secret Sharing ◽  
Secret Sharing Schemes ◽  
Access Structures

scholarly journals Access structures of hyperelliptic secret sharing schemes

2016 ◽  
Vol 37 ◽  
pp. 46-53
Author(s):  
Siman Yang ◽  
Hongfeng Wu ◽  
Jiyou Li
Keyword(s):  
Secret Sharing ◽  
Secret Sharing Schemes ◽  
Access Structures

scholarly journals Classical access structures of ramp secret sharing based on quantum stabilizer codes

2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Ryutaroh Matsumoto
Keyword(s):  
Finite Fields ◽  
Secret Sharing ◽  
Sufficient Conditions ◽  
Secret Sharing Schemes ◽  
Sufficient Condition ◽  
Linear Spaces ◽  
Stabilizer Codes ◽  
Access Structures ◽  
Necessary And Sufficient ◽  
Quantum Stabilizer Codes

AbstractIn this paper, we consider to use the quantum stabilizer codes as secret sharing schemes for classical secrets. We give necessary and sufficient conditions for qualified and forbidden sets in terms of quantum stabilizers. Then, we give a Gilbert–Varshamov-type sufficient condition for existence of secret sharing schemes with given parameters, and by using that sufficient condition, we show that roughly 19% of participants can be made forbidden independently of the size of classical secret, in particular when an n-bit classical secret is shared among n participants having 1-qubit share each. We also consider how much information is obtained by an intermediate set and express that amount of information in terms of quantum stabilizers. All the results are stated in terms of linear spaces over finite fields associated with the quantum stabilizers.

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