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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}, ${\left[h\right(x\left)\right]}_{k}={\sum}_{i=0}^{k1}{a}_{i}{x}^{i}$. 

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abhinav shukla
@panditabhinav91

May 17  
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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}, ${\left[h\right(x\left)\right]}_{k}={\sum}_{i=0}^{k1}{a}_{i}{x}^{i}$. 
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