TCSSA  DTCSSA  TCSSB  DTCSSB  

NTL  t < t′  t_{min} ≤ t′ ≤ t_{max}  t′ ∈ {t_{1}, t_{2},⋯, t_{N}} (0 < t_{i + 1} − t_{i} < t_{1})  t′ ∈ {t_{1}, t_{2},⋯, t_{N}} 
NCP  t′ − t + 1  1  N  1 
NRP  $\frac{{t}^{\prime}t+2}{2}$  1  $\frac{N+1}{2}$  1 
SSS  (t′ − t + 1) log q  log q  N log q  log q 
BCS  log q  log q  $\frac{N+1}{2}logq$  (n + 1) log q 
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}, ${\left[h\right(x\left)\right]}_{k}={\sum}_{i=0}^{k1}{a}_{i}{x}^{i}$. 

More on reconciling your checkbook...
If you've never reconciled a checkbook before then these notes may be useful to you. In short, a checkbook is "reconciled" when outstanding checks are subtracted from the bank balance and the result is compared to your checkbook balance. If that result is zero then all items are accurate and accounted for and the checking account is "reconciled". Reconciling your account is simple... First, enter your account balance according to your bank statement in cell H3. Second, go through your bank statement line by line and enter an "x" in column B for each item accounted for in your bank statement. Hopefully everything balances and cell H4 is 0.00. If it is not, go through deposits, credits, check amounts and withdrawls looking for the error. While reconciling your checkbook on a regular (monthly) basis is a wonderful thing, this Simple Checkbook will operate just fine if you never reconcile it. You'll just have to hope that you haven't made a mistake or forgotten to enter a check ;) 
More on reconciling your checkbook...
If you've never reconciled a checkbook before then these notes may be useful to you. In short, a checkbook is "reconciled" when outstanding checks are subtracted from the bank balance and the result is compared to your checkbook balance. If that result is zero then all items are accurate and accounted for and the checking account is "reconciled". Reconciling your account is simple... First, enter your account balance according to your bank statement in cell H3. Second, go through your bank statement line by line and enter an "x" in column B for each item accounted for in your bank statement. Hopefully everything balances and cell H4 is 0.00. If it is not, go through deposits, credits, check amounts and withdrawls looking for the error. While reconciling your checkbook on a regular (monthly) basis is a wonderful thing, this Simple Checkbook will operate just fine if you never reconcile it. You'll just have to hope that you haven't made a mistake or forgotten to enter a check ;) 
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