Constructions of PRF (Pseudo Random Function)The Goldreich-Goldwasser-Micali Construction with bad PRGSSecurity of KDF1 and KDF2 (hash based KDF's)Implementing a pseudo random function in practiceCryptanalysis of Marvin32 compared to SipHashPseudo Random FunctionWhy is this function pseudo random (PRF)?Decentralized consent over a random numberExistence of PRF $implies$ existence of PRGDoes a distinguisher for an PRF based on a hash make the hash function insecure?Can we convert a pseudorandom function (PRF) to an Oblivious PRF (OPRF) through an Oblivious Transfer (OT) protocol?
Can I criticise the more senior developers around me for not writing clean code?
can anyone help me with this awful query plan?
Was there a Viking Exchange as well as a Columbian one?
Does tea made with boiling water cool faster than tea made with boiled (but still hot) water?
Elements other than carbon that can form many different compounds by bonding to themselves?
555 timer FM transmitter
Multiple options vs single option UI
How much cash can I safely carry into the USA and avoid civil forfeiture?
"Whatever a Russian does, they end up making the Kalashnikov gun"? Are there any similar proverbs in English?
Two field separators (colon and space) in awk
Can someone publish a story that happened to you?
Should the Death Curse affect an undead PC in the Tomb of Annihilation adventure?
How to have a sharp product image?
Why must Chinese maps be obfuscated?
Does a large simulator bay have standard public address announcements?
Critique of timeline aesthetic
How to stop co-workers from teasing me because I know Russian?
What term is being referred to with "reflected-sound-of-underground-spirits"?
What makes accurate emulation of old systems a difficult task?
Aligning equation numbers vertically
I preordered a game on my Xbox while on the home screen of my friend's account. Which of us owns the game?
Is it idiomatic to construct against `this`
How come there are so many candidates for the 2020 Democratic party presidential nomination?
Do I have an "anti-research" personality?
Constructions of PRF (Pseudo Random Function)
The Goldreich-Goldwasser-Micali Construction with bad PRGSSecurity of KDF1 and KDF2 (hash based KDF's)Implementing a pseudo random function in practiceCryptanalysis of Marvin32 compared to SipHashPseudo Random FunctionWhy is this function pseudo random (PRF)?Decentralized consent over a random numberExistence of PRF $implies$ existence of PRGDoes a distinguisher for an PRF based on a hash make the hash function insecure?Can we convert a pseudorandom function (PRF) to an Oblivious PRF (OPRF) through an Oblivious Transfer (OT) protocol?
$begingroup$
I was taught only GGM based PRF construction in class. It's very inefficient. I am just curious about various PRF constructions from standard assumptions. Please provide a few PRF constructions from various assumptions.
pseudo-random-generator pseudo-random-function
$endgroup$
add a comment |
$begingroup$
I was taught only GGM based PRF construction in class. It's very inefficient. I am just curious about various PRF constructions from standard assumptions. Please provide a few PRF constructions from various assumptions.
pseudo-random-generator pseudo-random-function
$endgroup$
$begingroup$
Well, one standard assumption is that the SHA-256 compression function is a PRF, from which we can conclude that HMAC-SHA256 is a PRF (and a reasonably efficient one at that), but maybe you meant to restrict the domain of ‘standard assumptions’?
$endgroup$
– Squeamish Ossifrage
9 hours ago
add a comment |
$begingroup$
I was taught only GGM based PRF construction in class. It's very inefficient. I am just curious about various PRF constructions from standard assumptions. Please provide a few PRF constructions from various assumptions.
pseudo-random-generator pseudo-random-function
$endgroup$
I was taught only GGM based PRF construction in class. It's very inefficient. I am just curious about various PRF constructions from standard assumptions. Please provide a few PRF constructions from various assumptions.
pseudo-random-generator pseudo-random-function
pseudo-random-generator pseudo-random-function
asked 10 hours ago
satyasatya
441317
441317
$begingroup$
Well, one standard assumption is that the SHA-256 compression function is a PRF, from which we can conclude that HMAC-SHA256 is a PRF (and a reasonably efficient one at that), but maybe you meant to restrict the domain of ‘standard assumptions’?
$endgroup$
– Squeamish Ossifrage
9 hours ago
add a comment |
$begingroup$
Well, one standard assumption is that the SHA-256 compression function is a PRF, from which we can conclude that HMAC-SHA256 is a PRF (and a reasonably efficient one at that), but maybe you meant to restrict the domain of ‘standard assumptions’?
$endgroup$
– Squeamish Ossifrage
9 hours ago
$begingroup$
Well, one standard assumption is that the SHA-256 compression function is a PRF, from which we can conclude that HMAC-SHA256 is a PRF (and a reasonably efficient one at that), but maybe you meant to restrict the domain of ‘standard assumptions’?
$endgroup$
– Squeamish Ossifrage
9 hours ago
$begingroup$
Well, one standard assumption is that the SHA-256 compression function is a PRF, from which we can conclude that HMAC-SHA256 is a PRF (and a reasonably efficient one at that), but maybe you meant to restrict the domain of ‘standard assumptions’?
$endgroup$
– Squeamish Ossifrage
9 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
The most common efficient PRFs from specific assumptions are:
The Naor-Reingold PRF, which is based on the decision Diffie-Hellman assumption (DDH), and
The BPR PRF, which is based on the learning with error assumption (LWE).
Perhaps slightly less well-known is the NRR PRF, which is based on the hardness of factoring.
$endgroup$
add a comment |
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "281"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fcrypto.stackexchange.com%2fquestions%2f70083%2fconstructions-of-prf-pseudo-random-function%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
The most common efficient PRFs from specific assumptions are:
The Naor-Reingold PRF, which is based on the decision Diffie-Hellman assumption (DDH), and
The BPR PRF, which is based on the learning with error assumption (LWE).
Perhaps slightly less well-known is the NRR PRF, which is based on the hardness of factoring.
$endgroup$
add a comment |
$begingroup$
The most common efficient PRFs from specific assumptions are:
The Naor-Reingold PRF, which is based on the decision Diffie-Hellman assumption (DDH), and
The BPR PRF, which is based on the learning with error assumption (LWE).
Perhaps slightly less well-known is the NRR PRF, which is based on the hardness of factoring.
$endgroup$
add a comment |
$begingroup$
The most common efficient PRFs from specific assumptions are:
The Naor-Reingold PRF, which is based on the decision Diffie-Hellman assumption (DDH), and
The BPR PRF, which is based on the learning with error assumption (LWE).
Perhaps slightly less well-known is the NRR PRF, which is based on the hardness of factoring.
$endgroup$
The most common efficient PRFs from specific assumptions are:
The Naor-Reingold PRF, which is based on the decision Diffie-Hellman assumption (DDH), and
The BPR PRF, which is based on the learning with error assumption (LWE).
Perhaps slightly less well-known is the NRR PRF, which is based on the hardness of factoring.
answered 10 hours ago
Geoffroy CouteauGeoffroy Couteau
9,29011834
9,29011834
add a comment |
add a comment |
Thanks for contributing an answer to Cryptography Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fcrypto.stackexchange.com%2fquestions%2f70083%2fconstructions-of-prf-pseudo-random-function%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
Well, one standard assumption is that the SHA-256 compression function is a PRF, from which we can conclude that HMAC-SHA256 is a PRF (and a reasonably efficient one at that), but maybe you meant to restrict the domain of ‘standard assumptions’?
$endgroup$
– Squeamish Ossifrage
9 hours ago