aqora

A communication-efficient quantum threshold secret sharing scheme

Lijie Rui, Zhihui Li, Zhaowei Han +1 more

Quantum Information ProcessingSep 23, 20251 citation

Lattice-based Threshold Secret Sharing Algorithm

ZHANG Hongjun,LIU Ke,MOU Zhansheng

The secret sharing algorithm based on the traditional mathematical assumption is difficult to resist the attack of the quantum algorithm.Therefore,a lattice-based threshold secret sharing algorithm is proposed.The basic process of the secret sharing strategy is analyzed,which is divided into public key generation,share generation and secret reconstruction.The threshold secret sharing algorithm based on lattice is discussed.The algorithm can be reduced to the closest vector problem,and its security is analyzed.Calculation results prove that the algorithm is correct and safe.The secret sharing algorithm based on the traditional mathematical assumption is difficult to resist the attack of the quantum algorithm.Therefore,a lattice-based threshold secret sharing algorithm is proposed.The basic process of the secret sharing strategy is analyzed,which is divided into public key generation,share generation and secret reconstruction.The threshold secret sharing algorithm based on lattice is discussed.The algorithm can be reduced to the closest vector problem,and its security is analyzed.Calculation results prove that the algorithm is correct and safe.

Jun 1, 20160 citations

A Secure Vector Space Secret Sharing Scheme

Chunxiao Xu

A secure vector space secret sharing scheme with the secret k∈GF(q) is presented.This scheme can detect the cheaters more effectively,with the probability of cheating 1/ q 2 and asymptotically optimal information rate 1/3.Meanwhile,a robust threshold scheme is studied and the expression of its probability of cheating is given.

Jan 1, 20028 citations

Asymmetric optical cryptosystem with secret-key sharing based on coherent superposition and normalized decomposition

Mohamed G. Abdelfattah, Salem F. Hegazy, Salah S. A. Obayya

Optical and Quantum ElectronicsFeb 14, 20252 citations

A Practical and Efficient Quantum Threshold Secret Sharing Scheme

Na Zhou, Zhihui Li, Xingjia Wei +1 more

International Journal of Theoretical PhysicsOct 21, 20250 citations

Rational secret sharing

Yun Zhang

The set of all real numbers Z -The set of all integers F -A finite field GF(q) -The finite field with q elements P i -The i th player n -The number of players P -The set contains n players P 1 , . . ., P n 2 P -The power set of P |A| -The size of the set A s -A secret in secret sharing schemes R -The domain of random strings S -The domain of the secrets in secret sharing schemesS i -The share domain of P i -The operation of bitwise XOR α, β -The inner product of α and β α[i] -The i th coordinate of α D -The dealer in secret sharing schemes Π -A secret sharing scheme Π(s, r) i -The share of P i generated with the secret s and a random string r in the secret sharing scheme Π Π(s, r) A -The shares of players in A generated with the secret s and a random string r in the secret sharing scheme Π A -An adversary structure Γ -An access structure A ⊥ -The dual adversary structure of A Γ ⊥ -The dual access structure of Γ M -A monotone span program M ⊥ -A dual monotone span program of M LSSS -Linear secret sharing scheme RSSS -Rational secret sharing scheme MSP -Monotone span program MPC -Multiparty computation C -A block code C ⊥ -The dual code of C Γ(C) -The admissible distance of a block code C ∆(C) -The forbidden distance of a block code C rank(M ) -The rank of a matrix M span(M ) -The vector space spanned by the row vectors in M M T -The transpose of the matrix M ker(M ) -The solution space of the linear equation system M • X = 0 (α|M ) -The matrix containing the columns of M along with an additional column α (a, β) -The vector containing the elements of β along with an additional element a t -The size of each minimal authorized set in a threshold access structure t * -The size of active players in the secret reconstruction process k -A security parameter G -A gameThe set of all real numbers Z -The set of all integers F -A finite field GF(q) -The finite field with q elements P i -The i th player n -The number of players P -The set contains n players P 1 , . . ., P n 2 P -The power set of P |A| -The size of the set A s -A secret in secret sharing schemes R -The domain of random strings S -The domain of the secrets in secret sharing schemesS i -The share domain of P i -The operation of bitwise XOR α, β -The inner product of α and β α[i] -The i th coordinate of α D -The dealer in secret sharing schemes Π -A secret sharing scheme Π(s, r) i -The share of P i generated with the secret s and a random string r in the secret sharing scheme Π Π(s, r) A -The shares of players in A generated with the secret s and a random string r in the secret sharing scheme Π A -An adversary structure Γ -An access structure A ⊥ -The dual adversary structure of A Γ ⊥ -The dual access structure of Γ M -A monotone span program M ⊥ -A dual monotone span program of M LSSS -Linear secret sharing scheme RSSS -Rational secret sharing scheme MSP -Monotone span program MPC -Multiparty computation C -A block code C ⊥ -The dual code of C Γ(C) -The admissible distance of a block code C ∆(C) -The forbidden distance of a block code C rank(M ) -The rank of a matrix M span(M ) -The vector space spanned by the row vectors in M M T -The transpose of the matrix M ker(M ) -The solution space of the linear equation system M • X = 0 (α|M ) -The matrix containing the columns of M along with an additional column α (a, β) -The vector containing the elements of β along with an additional element a t -The size of each minimal authorized set in a threshold access structure t * -The size of active players in the secret reconstruction process k -A security parameter G -A game

Jan 1, 20120 citations

Optical threshold secret sharing scheme based on basic vector operations and coherence superposition

Related papers

Optical threshold secret sharing scheme based on basic vector operations and coherence superposition

Related papers