What does “constant rate” mean in universal composable commitment scheme?
I'm wondering what does the "constant rate" mean in universal composable commitment scheme? I have known the rate of a commitment scheme is message length divided by the communication complexity of the scheme. What's the "constant" mean here? Must the constant be a number less than 1?
commitments
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I'm wondering what does the "constant rate" mean in universal composable commitment scheme? I have known the rate of a commitment scheme is message length divided by the communication complexity of the scheme. What's the "constant" mean here? Must the constant be a number less than 1?
commitments
Can you please post a reference to a paper or something where you encountered this term?
– SEJPM♦
Dec 18 '18 at 17:21
add a comment |
I'm wondering what does the "constant rate" mean in universal composable commitment scheme? I have known the rate of a commitment scheme is message length divided by the communication complexity of the scheme. What's the "constant" mean here? Must the constant be a number less than 1?
commitments
I'm wondering what does the "constant rate" mean in universal composable commitment scheme? I have known the rate of a commitment scheme is message length divided by the communication complexity of the scheme. What's the "constant" mean here? Must the constant be a number less than 1?
commitments
commitments
asked Dec 18 '18 at 17:14
CryptoLover
402212
402212
Can you please post a reference to a paper or something where you encountered this term?
– SEJPM♦
Dec 18 '18 at 17:21
add a comment |
Can you please post a reference to a paper or something where you encountered this term?
– SEJPM♦
Dec 18 '18 at 17:21
Can you please post a reference to a paper or something where you encountered this term?
– SEJPM♦
Dec 18 '18 at 17:21
Can you please post a reference to a paper or something where you encountered this term?
– SEJPM♦
Dec 18 '18 at 17:21
add a comment |
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Constant rate in general means that the overhead from a non-secure method is constant. So, in a simple way, if I am committing to an $ell$-bit message, then the size of the commitment is $O(ell)$. In some cases, however, one also allows an additive factor that is independent of the message size. Thus, for example, it could be that to commit to a message of size $ell$ the amount is $O(ell)+{rm poly}(n)$, where $n$ is the security parameter.
Note that typically these are measured in an amortized manner. So, you have to send many commitments (or a long message) for it to be true. But, again, this depends on the exact scheme, so you'll have to read the details.
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1 Answer
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1 Answer
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active
oldest
votes
active
oldest
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active
oldest
votes
Constant rate in general means that the overhead from a non-secure method is constant. So, in a simple way, if I am committing to an $ell$-bit message, then the size of the commitment is $O(ell)$. In some cases, however, one also allows an additive factor that is independent of the message size. Thus, for example, it could be that to commit to a message of size $ell$ the amount is $O(ell)+{rm poly}(n)$, where $n$ is the security parameter.
Note that typically these are measured in an amortized manner. So, you have to send many commitments (or a long message) for it to be true. But, again, this depends on the exact scheme, so you'll have to read the details.
add a comment |
Constant rate in general means that the overhead from a non-secure method is constant. So, in a simple way, if I am committing to an $ell$-bit message, then the size of the commitment is $O(ell)$. In some cases, however, one also allows an additive factor that is independent of the message size. Thus, for example, it could be that to commit to a message of size $ell$ the amount is $O(ell)+{rm poly}(n)$, where $n$ is the security parameter.
Note that typically these are measured in an amortized manner. So, you have to send many commitments (or a long message) for it to be true. But, again, this depends on the exact scheme, so you'll have to read the details.
add a comment |
Constant rate in general means that the overhead from a non-secure method is constant. So, in a simple way, if I am committing to an $ell$-bit message, then the size of the commitment is $O(ell)$. In some cases, however, one also allows an additive factor that is independent of the message size. Thus, for example, it could be that to commit to a message of size $ell$ the amount is $O(ell)+{rm poly}(n)$, where $n$ is the security parameter.
Note that typically these are measured in an amortized manner. So, you have to send many commitments (or a long message) for it to be true. But, again, this depends on the exact scheme, so you'll have to read the details.
Constant rate in general means that the overhead from a non-secure method is constant. So, in a simple way, if I am committing to an $ell$-bit message, then the size of the commitment is $O(ell)$. In some cases, however, one also allows an additive factor that is independent of the message size. Thus, for example, it could be that to commit to a message of size $ell$ the amount is $O(ell)+{rm poly}(n)$, where $n$ is the security parameter.
Note that typically these are measured in an amortized manner. So, you have to send many commitments (or a long message) for it to be true. But, again, this depends on the exact scheme, so you'll have to read the details.
answered Dec 18 '18 at 17:34
Yehuda Lindell
18.6k3560
18.6k3560
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Can you please post a reference to a paper or something where you encountered this term?
– SEJPM♦
Dec 18 '18 at 17:21