Industry Newswire / Press Releases 
Talking Rain Debuts New Sparkling Ice Flavor and Premium Water 
Ben Stiller, Cher and Icelandic Glacial Provide Hurricane Relief 
Ocean Spray Introduces New Beverage Lines (1 comments) 
Alkaline88 Now Available in Publix Super Markets (1 comments) 

Notation  Meaning 

n  Number of participants 
t  Threshold value 
P_{i}  Participant i 
P  Participant set, P = {P_{1}, P_{2},⋯, P_{n}} 
q  A big prime number randomly chosen by the dealer, q > n 
S  Domain of the secret, S = GF(q) 
s  Secret, s ∈ S 
S_{i}  Domain of participant P_{i}’s secret shadow, S_{i} = GF(q) 
s_{i}  Participant P_{i}’s secret shadow, s_{i} ∈ S_{i} 
T  Domain of potential threshold 
t′  New threshold in DTCSSA scheme 
N  Number of potential thresholds in DTCSSB scheme 
h(x)  A polynomial 
h(x_{i})  Value of polynomial h(x) in a given x_{i} 
${y}_{i}^{j}$  Participant P_{i}’s j^{th} advance secret shadow 
ψ_{i}  Participant P_{i}’s secret shadow updating function 
f(r, s)  A twovariable oneway function 
deg(⋅)  Operator is used for computing the degree of the polynomial 
[x^{k}]  Coefficient operator. If h(x) = ∑_{i≥0}a_{i}x^{i}, then [x^{k}] h(x) = a_{k}. 
[⋅]_{k}  Polynomial operator. If h(x) = ∑_{i≥0}a_{i}x^{i}, ${\left[h\right(x\left)\right]}_{k}={\sum}_{i=0}^{k1}{a}_{i}{x}^{i}$. 
Software Version: 22 January 2019 Database updated 19 min ago Current Users: 65 
30 January 2019, 11:21 UTC 
Industry Newswire / Press Releases 
Talking Rain Debuts New Sparkling Ice Flavor and Premium Water 
Ben Stiller, Cher and Icelandic Glacial Provide Hurricane Relief 
Ocean Spray Introduces New Beverage Lines (1 comments) 
Alkaline88 Now Available in Publix Super Markets (1 comments) 
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