mark watson 11 Jan 18
This is the bay I meant @OssianLore perhaps moved sideways, but I'd need a closer look to see if it's pre or post 1879. Looks better already!
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NotationMeaning
n Number of participants
t Threshold value
Pi Participant i
P Participant set, P = {P1, P2,⋯, Pn}
q A big prime number randomly chosen by the dealer, q > n
S Domain of the secret, S = GF(q)
s Secret, sS
Si Domain of participant Pi’s secret shadow, Si = GF(q)
si Participant Pi’s secret shadow, siSi
T Domain of potential threshold
t New threshold in DTCSS-A scheme
N Number of potential thresholds in DTCSS-B scheme
h(x) A polynomial
h(xi) Value of polynomial h(x) in a given xi
yij Participant Pi’s jth advance secret shadow
ψiParticipant Pi’s secret shadow updating function
f(r, s) A two-variable one-way function
deg(⋅)Operator is used for computing the degree of the polynomial
[xk] Coefficient operator. If h(x) = ∑i≥0aixi, then [xk] h(x) = ak.
[⋅]k Polynomial operator. If h(x) = ∑i≥0aixi, [h(x)]k=i=0k-1aixi.
1
NotationMeaning
n Number of participants
t Threshold value
Pi Participant i
P Participant set, P = {P1, P2,⋯, Pn}
q A big prime number randomly chosen by the dealer, q > n
S Domain of the secret, S = GF(q)
s Secret, sS
Si Domain of participant Pi’s secret shadow, Si = GF(q)
si Participant Pi’s secret shadow, siSi
T Domain of potential threshold
t New threshold in DTCSS-A scheme
N Number of potential thresholds in DTCSS-B scheme
h(x) A polynomial
h(xi) Value of polynomial h(x) in a given xi
yij Participant Pi’s jth advance secret shadow
ψiParticipant Pi’s secret shadow updating function
f(r, s) A two-variable one-way function
deg(⋅)Operator is used for computing the degree of the polynomial
[xk] Coefficient operator. If h(x) = ∑i≥0aixi, then [xk] h(x) = ak.
[⋅]k Polynomial operator. If h(x) = ∑i≥0aixi, [h(x)]k=i=0k-1aixi.
4
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