Cryptographically secure cross-chain interoperability
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Browse our researchhyperbridge core
Blockchain subprocessor
Initializing state machine client
Decoding block witness
Re-executing blocks
Checking state root matches
Successfully verified blocks
State Proof Verification
Initializing merkle-patricia trie verifier
loading EIP-1168 Proofs
Traversing the Partial Trie
Reached leaf nodes
Extracting values
Successfully verified state proof
Initializing consensus client
Decoding consensus proof
Checking for super majority participation
Waiting for challenge period
Successfully verified consensus proof
Consensus processing Unit
Powered by industry leading, zero-knowledge cryptography. Secured by Polkadot.
Browse our researchUTILIZING EQUATIONS _
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.20;
n + y n = z n x^n + y^n = z^n xn+yn=zn for any integer n > 2 n>2 n>2.
(n ≥ 5) and PSL2(Fp) (p ≥ 5) = (C ≥ 5) and PSL2(FA) (p ≥ 0)
2. 6 ( ) 2 ( ) 6 ( ) ( ) 1 1 1 = − ≥ − = − × ∑
c(G5 ) = 4, c(Gi) = c(Gi−1 + vi) = 4
2. 6 ( ) 2 ( ) 6 ( ) ( ) 1 1 1 = − ≥ − = − × ∑
c(G5 ) = 4, c(Gi) = c(Gi−1 + vi) = 4
2. 6 ( ) 2 ( ) 6 ( ) ( ) 1 1 1 = − ≥ − = − × ∑
c(G5 ) = 4, c(Gi) = c(Gi−1 + vi) = 4
2. 6 ( ) 2 ( ) 6 ( ) ( ) 1 1 1 = − ≥ − = − × ∑
c(G5 ) = 4, c(Gi) = c(Gi−1 + vi) = 4
2. 6 ( ) 2 ( ) 6 ( ) ( ) 1 1 1 = − ≥ − = − × ∑
c(G5 ) = 4, c(Gi) = c(Gi−1 + vi) = 4
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