Asynchronous Distributed Private Key Generator

This is a micro but stable implementation of an asynchronous 'Key-Value' cache grid with an option for persistence.In short if you have 5 instances running, 'Key-Value' pair added to one instance gets replicated automatically to other instances.

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  4. Synchronous Vs Asynchronous Generators
  5. Asynchronous Distributed Private Key Generator V2 4

Please refer wiki for more information.

Oct 12, 2017  We solve this problem by implementing distributed key generation to form a group of players which will act as private key generator for ID-Based PKI. The implementation is done on the Android platform, showing the possibilities of running PKI on cheap and widely available hardware. To sign a message. In distributed key distribution centres and threshold decryption and signature schemes, DKG tackles the problem of single point of failure. In IBC, it also mitigates the key escrow issue, when it is impractical to trust and rely on a single entity, the private-key generator (PKG).

Asynchronous Distributed Private Key Generator V2 4 Full Version

For sbt add the below in your build.sbt:

For Maven add the below in your pom.xml file:

Private

Latest Snapshots can be downloaded from: https://oss.sonatype.org/content/repositories/snapshots/com/jatinpuri

  • Dec 15, 2010 An asynchronous password generator, has an authentication server that generates a challenge (a large number or string) which is encrypted with the private key of the token device and has that.
  • Asynchronous Consensus Zones Our key invention is to divide the workload of the entire network into multiple non-overlapped zones. This allows parallel transaction processing and distributed workload of state representation and execution to be realized in a fully decentralized without a beacon or a root chain.
  • In an (n,t)-distributed PKG, the master key is distributed among n PKG nodes such that a set of nodes of size tor smaller cannot compute the master key, while a client extracts her private key by obtaining private-key shares from anyt+ 1.
  • Dec 16, 2016  GE: Why grids don’t need to rely on “synchronous” generation GE technology chief says days of “relying solely on synchronous generation for everything are over”.

External Jar can be downloaded from repo. You will manually have to download the dependencies. (Will update the part with link to all necessory links in future)

Current implementation is based on Akka Actor's and hence can it only be used using message communication with Actors. This constraint might be removed in future.

The current version system includes a primary node, which is responsible for replicating all changes to a set of secondary nodes where secondary nodes might join and leave at arbitrary times. Internally all the changes are persisted locally both by primary or secondary node. (Persistence is loosely coupled and can be done using any SQL or NOSQL based database or file for that matter).

Clients contacting the primary node directly can use all operations on the key-value store, while clients contacting the secondaries can only use lookups.

The two set of operations are:

Update Commands

Insert(key, value, id) - This message instructs the primary to insert the (key, value) pair into the storage and replicate it to the secondaries.

Remove(key, id) - This message instructs the primary to remove the key (and its corresponding value) from the storage and then remove it from the secondaries.

Asynchronous

A successful Insert or Remove results in a reply to the client in the form of an OperationAck(id) message where the id field matches the corresponding id field of the operation that has been acknowledged.A failed Insert or Remove command results in an OperationFailed(id) reply. A failure is defined as the inability to confirm the operation within '1 second'. See the wiki for more details

Lookup

Private

Get(key, id) - Instructs the replica to look up the 'current' (what current means is described in detail in the next section) value assigned with the key in the storage and reply with the stored value.

A Get operation results in a GetResult(key, valueOption, id) message where the id field matches the value in the id field of the corresponding Get message. The valueOption field contains None if the key is not present in the replica or Some(value) if a value is currently assigned to the given key in that replica.

System Behavior - Consistency Guarantees

Ordering is maintained.

If the following command is sent to the primary replica, waiting for successful acknowledgement of each operation before proceeding with the next:

  1. Ordering is guaranteed for clients contacting the primary replica:

A second client reading directly from the primary will not see:

  1. Ordering is guaranteed for clients contacting the secondary replica:

For a second client reading from one of the secondary replicas, the exact same requirements apply as if that client was reading from the primary, with the following addition:

It is guaranteed that a client reading from a secondary replica will eventually see the following (at some point in the future):

Asynchronous Distributed Private Key Generator For Sale

key1 containing bkey2 containing 2

  1. Ordering guarantees for clients contacting different replicas

If a second client asks different replicas for the same key, it may observe different values during the time window when an update is disseminated. The client asking for key1 might see:

Eventually all reads will result in the value b if no other updates are done on key1. Eventual consistency means that given enough time, all replicas settle on the same view.

Durability & Persistence

Whenever the primary replica receives an update operation (either Insert or Remove) it replies with an OperationAck(id) or OperationFailed(id) message, which is sent at most 1 second after the update command was processed.

A positive OperationAck reply is sent as soon as the following is successful:

Persistence trait has been implemented using which the data can be persisted using any SQL or NOSQL based database or file for that matter.

See Wiki for more information.

Distributed key generation (DKG) is a cryptographic process in which multiple parties contribute to the calculation of a shared public and private key set. Unlike most public key encryption models, distributed key generation does not rely on Trusted Third Parties.[1] Instead, the participation of a threshold of honest parties determines whether a key pair can be computed successfully.[2] Distributed key generation prevents single parties from having access to a private key. The involvement of many parties requires Distributed key generation to ensure secrecy in the presence of malicious contributions to the key calculation.[1]

Distributed Key Generation is commonly used to decrypt shared ciphertexts or create group digital signatures.[2]

History[edit]

Distributed key generation protocol was first specified by Torben Pedersen in 1991. This first model depended on the security of the Joint-Feldman Protocol for verifiable secret sharing during the secret sharing process.[3]

In 1999, Rosario Gennaro, Stanislaw Jarecki, Hugo Krawczyk, and Tal Rabin produced a series of security proofs demonstrating that Feldman verifiable secret sharing was vulnerable to malicious contributions to Pedersen's distributed key generator that would leak information about the shared private key.[4] The same group also proposed an updated distributed key generation scheme preventing malicious contributions from impacting the value of the private key.


Methods[edit]

The distributed key generation protocol specified by Gennaro, Jarecki, Krawczyk, and Rabin assumes that a group of players has already been established by an honest party prior to the key generation. It also assumes the communication between parties is synchronous.[4]

  1. All parties use Pedersen's verifiable secret sharing protocol to share the results of two random polynomial functions.
  2. Every party then verifies all the shares they received. If verification fails, the recipient broadcasts a complaint for the party whose share failed. Each accused party then broadcasts their shares. Each party then has the opportunity to verify the broadcast shares or disqualify accused parties. All parties generate a common list of non-disqualified parties.
  3. Each non-disqualified party broadcasts a set of values constructed by raising a common generator to the power of each value used in one polynomial in Part 1.
  4. These broadcast values are verified by each party similarly to as in Part 2. When a verification fails, the party now broadcasts both the values received in Part 1 and the values received in Part 3. For each party with verifiable complaints, all other parties reconstruct their own value sets in order to eliminate disqualified contributions.
  5. The group computes the private key as the product of every qualified contribution (each qualified party's random polynomial evaluated at 0).[4]


Avoiding the Synchrony Assumption[edit]

In 2009, Aniket Kate and Ian Goldberg presented a Distributed key generation protocol suitable for use over the Internet.[5] Unlike earlier constructions, this protocol does not require a broadcast channel or the synchronous communication assumption, and a ready-to-use library is available.

Robustness[edit]

In many circumstances, a robust distributed key generator is necessary. Robust generator protocols can reconstruct public keys in order to remove malicious shares even if malicious parties still remain in the qualified group during the reconstruction phase.[4] For example, robust multi-party digital signatures can tolerate a number of malicious users roughly proportionate to the length of the modulus used during key generation.[6]

Sparse Evaluated DKG[edit]

Asynchronous Distributed Private Key Generator Download

Distributed key generators can implement a sparse evaluation matrix in order to improve efficiency during verification stages. Sparse evaluation can improve run time from O(nt){displaystyle O(nt)} (where n{displaystyle n} is the number of parties and t{displaystyle t} is the threshold of malicious users) to O(log3n){displaystyle O(log^{3}n)}. Instead of robust verification, sparse evaluation requires that a small set of the parties verify a small, randomly picked set of shares. This results in a small probability that the key generation will fail in the case that a large number of malicious shares are not chosen for verification.[7]

Applications[edit]

Distributed key generation and distributed key cryptography are rarely applied over the internet because of the reliance on synchronous communication.[4]

Distributed key cryptography is useful in key escrow services where a company can meet a threshold to decrypt a ciphertext version of private key. This way a company can require multiple employees to recover a private key without giving the escrow service a plaintext copy.[1]

Distributed key generation is also useful in server-side password authentication. If password hashes are stored on a single server, a breach in the server would result in all the password hashes being available for attackers to analyze offline. Variations of distributed key generation can authenticate user passwords across multiple servers and eliminate single points of failure.[8][9]

Distributed key generation is more commonly used for group digital signatures. This acts as a form of voting, where a threshold of group members would have to participate in order for the group to digitally sign a document.[2]

References[edit]

Synchronous Vs Asynchronous Generators

  1. ^ abcKate, Aniket; Goldberg, Ian (2010). Distributed Private-Key Generators for Identity Based Cryptography. Security and Cryptography for Networks. Lecture Notes in Computer Science. 6280. pp. 436–453. CiteSeerX10.1.1.389.4486. doi:10.1007/978-3-642-15317-4_27. ISBN978-3-642-15316-7.
  2. ^ abcBoldyreva, Alexandra (2003). Threshold Signatures, Multisignatures and Blind Signatures Based on the Gap-Diffie-Hellman-Group Signature Scheme(PDF). Public Key Cryptography. Lecture Notes in Computer Science. 2567. pp. 31–46. doi:10.1007/3-540-36288-6_3. ISBN978-3-540-00324-3.
  3. ^Pedersen, T. P. (1992). 'Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing'. Advances in Cryptology — CRYPTO '91. Lecture Notes in Computer Science. 576. pp. 129–140. doi:10.1007/3-540-46766-1_9. ISBN978-3-540-55188-1.
  4. ^ abcdeGennaro, Rosario; Jarecki, Stanislaw; Krawczyk, Hugo; Rabin, Tal (24 May 2006). 'Secure Distributed Key Generation for Discrete-Log Based Cryptosystems'. Journal of Cryptology. 20 (1): 51–83. CiteSeerX10.1.1.134.6445. doi:10.1007/s00145-006-0347-3.
  5. ^Kate, Aniket; Goldberg, Ian (2006). 'Distributed Key Generation for the Internet'. IEEE ICDCS. doi:10.1109/ICDCS.2009.21.
  6. ^Castelluccia, Claude; Jarecki, Stanisław; Kim, Jihye; Tsudik, Gene (2006). 'Secure acknowledgment aggregation and multisignatures with limited robustness'. Computer Networks. 50 (10): 1639–1652. doi:10.1016/j.comnet.2005.09.021.
  7. ^Canny, John; Sorkin, Steve (2004). Practical Large-scale Distributed Key Generation(PDF). Advances in Cryptography - EUROCRYPT 2004. Lecture Notes in Computer Science. 3027. pp. 138–152. CiteSeerX10.1.1.69.6028. doi:10.1007/978-3-540-24676-3_9. ISBN978-3-540-21935-4.
  8. ^MacKenzie, Philip; Shrimpton, Thomas; Marcus, Jakobsson (2006). 'Threshold Password-authenticated Key Exchange'. Journal of Cryptology. 19 (1): 27–66. CiteSeerX10.1.1.101.6403. doi:10.1007/s00145-005-0232-5.
  9. ^Jarecki, Stanislaw; Kiayias, Aggelos; Krawczyk, Hugo (2014). 'Round-Optimal Password-Protected Secret Sharing and T-PAKE in the Password-Only model'(PDF). Cryptology ePrint Archive. 650. Retrieved 5 November 2014.

Asynchronous Distributed Private Key Generator V2 4

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