Security protection method for electric document digital signing based on elliptical curve
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An elliptic curve and digital signature technology, applied in the field of information security, can solve the problems of integrity verification document authenticity, signature non-repudiation, etc.
Inactive Publication Date: 2009-05-27
XIAN UNIV OF TECH
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[0006] The purpose of the present invention is to provide a security protection method for digital signatures of electronic documents based on elliptic curves, which solves the problems of integrity verification, authenticity of documents, and non-repudiation of signatures in existing electronic documents in the network environment
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Embodiment 1
[0078] The signer first selects and publishes the mapping function η in the signature algorithm 0 (T, U) = 1, η 1 (T, U) = T+U, η 2 (T, U) = TU, η 3 (T, U) = T ∨ U, η 4 ( T , U ) = T ⊕ U , n 5 (T, U) = T∧U, η 6 (T, U)=T+U, π(R)=R; in this way, a specific signature algorithm is formulated.
[0079] Signature algorithm:
[0080] In order to sign the electronic document M, the signer randomly selects an integer k in the interval [1, q-1],
[0081] Calculate the point R on the elliptic curve = (x 1 , Y 1 )=kG, calculate T=π(R)=R;
[0082] Calculate the Hash value U=H(M) of the message;
[0083] Then the signature of the message M is (T, S), where
[0084] S = ^ [ kη ...
Embodiment 2
[0095] The signer first selects and publishes the mapping function η in the signature algorithm 0 (T, U) = 1, η 1 (T, U) = T, η 2 (T, U) = T-U, η 3 (T, U) = U, η 4 (T, U) = T+U, η 5 (T, U) = 0, η 6 (T, U)=T-2U, π(R)=R; in this way, a signature algorithm is specifically determined.
[0096] In order to sign the electronic document M, the signer randomly selects an integer k in the interval [1, q-1],
[0097] Calculate the point R on the elliptic curve = (x 1 , Y 1 )=kG, calculate T=π(R)=R;
[0098] Calculate the Hash value U=H(M) of the message; then the signature of the message M is (T, S), where
[0099] S = ^ [ kη 4 ( T , U ) + ...
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Abstract
The invention discloses an elliptic curve based safety protection method for digital signatures of electric documents. The method comprises the following steps: 1, generating system parameters: setting public parameters such as elliptic curve, mapping functions and a plurality of effectively computable functions; establishing a user cipher key; randomly selecting a private key for each signer, working out the corresponding public key, keeping the private key secret for signature by the signer, and verifying the signature by the disclosed the public key; 2, signing process: by utilizing the private key, generating the message signature and sending the message signature to a document receiver; and 3, verifying process: after the message and the signature are received, by utilizing the verification formula in the proposal for checking, verifying the signature if the verification formula is true, and ensuring that the message received by a verifier is sent by a sender keeping the private key corresponding to the public key. The digital signature method can generate a plurality of elliptic curve based digital signature algorithms for safety protection of integrality, trueness and non-repudiation during document transmission.
Description
technical field [0001] The invention belongs to the technical field of information security, and relates to a security protection method for digital signatures of electronic documents based on elliptic curves. Background technique [0002] In people's daily life and work, many matters need to be signed by the parties involved, such as documents, orders, treaties, agreements, contracts, etc. need to be signed, so that they can be certified, approved, and come into effect at the legal level. In traditional transaction processing with written documents as the carrier, handwritten signatures, seals, fingerprints, etc. are usually used as written signatures. Written signatures are recognized by the judicial department and have legal significance. However, the rapid development of the Internet makes people have higher and higher demands for fast and long-distance e-commerce activities through the Internet. In digital communications such as e-mail and e-commerce based on computer ...
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