8 results about "Polynomial matrix" patented technology

The present application relates to a kind of facing polynomial fuzzy control system cost control stability judging method, comprising the following steps: establishing polynomial fuzzy model;According to the first SOS condition based on Lyapunov function, try to solve the first polynomial matrix and the second polynomial matrix, omit non-convex term in solving process, judge whether it is successful, if yes, based on the first polynomial matrix and the second polynomial matrix, obtain feedback gain;Based on feedback gain, according to the second SOS condition, try to solve positive definite matrix, judge whether it is successful, if yes, based on positive definite matrix, construct polynomial Lyapunov function, realize cost control analysis based on polynomial Lyapunov function.Compared with prior art, the present application solves the non-convex optimization problem in cost control in two steps, avoids the influence of the constraint existing in input matrix itself on the flexibility of fuzzy control system design, and improves the performance of control system by obtaining the numerical value of cost J.

Provided are a method and an electronic device for performing convolutional neural network operations on a batch of input images using homomorphic encryption. The method includes: for each channel of the batch of the input images, grouping pixel values at the same location in the images included in the batch into a single vector, and encrypting the grouped vectors using a homomorphic encryption method to obtain a first ciphertext; for each channel and each coefficient of the ciphertext, grouping coefficients of the first ciphertext corresponding to all pixel locations to generate polynomials, and configuring the polynomials into a single matrix; multiplying the matrix by a polynomial matrix representing a convolution filter to obtain a result matrix, and performing a modulo operation on each element of the result matrix to generate an encrypted convolution operation result, the operation being performed on unencrypted matrices; and rearranging polynomial coefficients of the result matrix to generate a second ciphertext for the batch of the images after the convolution layer is applied, in which the second ciphertext is encrypted by the same homomorphic encryption method as the first ciphertext.

The invention discloses a physical-level anti-quantum key packaging device and method, and the method comprises the steps: cutting off a byte stream to a first modulus through a bit mask operation, and generating a polynomial matrix in a constant physical clock period; calculating an inner product of a private key vector of the polynomial matrix, executing logic combination operation, compressing modulus, and generating a public key vector; after receiving the public key vector, the second communication node reconstructs a system state by using the temporary private key and outputs a ciphertext; and the first communication node receives the ciphertext, performs fault-tolerant restoration and re-encryption, drives a bottom multiplexer to generate a mask, and selects one of a real session key and a random noise key to be output in a constant physical clock period. According to the anti-quantum cryptography algorithm, logic combination operation, algebraic divide-and-conquer and physical circuit characteristics are utilized, hardware simplification is achieved, meanwhile, safety is improved, strategic expansion capacity is achieved, and the problems that an existing anti-quantum cryptography algorithm faces the computing power bottleneck and the side channel attack risk in a low-power-consumption node lacking a hardware divider circuit are solved.

The application provides a kind of collaborative office encryption method and system based on non-commutative group transformation and perturbation mapping, method includes: extracting the feature matrix of the heterogeneous data to be encrypted, and encoding as initial group element sequence after quantization processing;From the discrete Gaussian distribution sampling error polynomial matrix superimposed to the sequence to introduce perturbation;Conjugate transformation is carried out using the system public key to obtain ciphertext polynomial matrix sequence;Random mask matrix embedding group transformation attribute is generated;Blind processing is implemented by group multiplication, and the accumulated noise norm is limited within the decryption fault boundary by cooperating with the module switching mechanism;Dynamic routing identification is generated by analyzing network path state, and encrypted transmission message is constructed;Secondary blind is carried out on load header using algebraic operator, and network layer plaintext resolvable anti-quantum encryption data is generated.The application can effectively resist quantum computing attack and flow statistical analysis, and protect the efficient and safe flow of heterogeneous data in office environment.

The embodiment of the invention provides a polynomial matrix acquisition method and device, electronic equipment and a storage medium, and relates to the technical field of information security. The method comprises the steps of obtaining an input seed used for generating a polynomial matrix, wherein the polynomial matrix is used in the process of executing a target task based on a post quantum cryptography algorithm; based on the input seed, performing a sampling operation on a plurality of polynomial coefficients of the polynomial matrix through an extensible output function and pre-calculation information to obtain the polynomial matrix, the pre-calculation information comprising a plurality of intermediate check points, each middle check point is used for representing an internal state of the extensible output function in the process of executing the sampling operation. The scheme is short in time consumption, high in effect, small in calculation overhead and low in cost.

Embodiments of the present application provide a polynomial matrix obtaining method and device, electronic equipment and storage medium, and relate to the technical field of information security. The method comprises: obtaining an input seed used to generate a polynomial matrix, the polynomial matrix being used in the process of performing a target task based on a post-quantum cryptography algorithm; performing a sampling operation on a plurality of polynomial coefficients of the polynomial matrix based on the input seed, an expandable output function and pre-computed information to obtain the polynomial matrix, wherein the pre-computed information comprises a plurality of intermediate checkpoints, and each intermediate checkpoint is used to represent an internal state of the expandable output function in the process of performing the sampling operation. The present scheme has the advantages of short time consumption, high effect, small calculation overhead and low cost.

The invention discloses a lattice signature algorithm rapid implementation method and device based on a parallel architecture, and the method comprises the steps: generating a random number sequence needed by a polynomial vector y based on the parallel architecture in a manner that the random number generation and sampling steps of the polynomial vector are separated, and obtaining the polynomial vector y in a lattice signature algorithm, a random number sequence required by a polynomial matrix A is generated by adopting a hybrid calculation mechanism of SHAKE128 and SHAKE256, the polynomial matrix A in a lattice signature algorithm is obtained, Hash calculation is performed on a polynomial vector w by adopting a hybrid calculation mechanism of a KECCAK absorption and extrusion stage realized based on multiple paths, and when the polynomial vector w is subjected to Hash calculation, multiple rounds of absorption and extrusion operation are performed in parallel. According to the method, the generation efficiency of the polynomial vector y in the signature rejection process can be effectively improved, so that the execution efficiency of the whole signature is effectively improved. The method can be effectively applied to the algorithms such as ML-DSA, BLISS and HAETAE.

The invention provides a lightweight anti-quantum key agreement protocol method and system for edge computing, and relates to the technical field of edge computing security, and the method comprises the steps: generating a short vector private key and public key polynomial matrix based on a lattice password parameter, embedding an identity abstract vector into a public key to form an identity binding public key, generating a dynamic lattice base chain through recursive reconstruction, and generating a dynamic lattice base chain; and performing adaptive sparsification processing on the session parameters in combination with the resource weight vector, and finally generating a lightweight session key. The method has the quantum attack resistance, and can be dynamically adjusted according to the computing performance and the communication bandwidth of the edge node, so that the resource consumption is reduced.