A method for providing encrypted information by an information entity to one or more operating entities, the information entity having a database for storing encrypted information and the one or more operating entities being configured to operate on the encrypted information, wherein the encrypted information is stored encrypted with an encryption key known to the one or more operating entities includes performing, by an operating entity, a request on the encrypted information, wherein plaintext information to be stored encrypted is provided in tuples, each having ID information, one or more fields with field information specifying the fields, and values, wherein at least the values are encrypted with non-deterministic order preserving encryption with at least one encryption key such that each plaintext value is encrypted into a set of encrypted values, and wherein the set of encrypted values is partitioned into a left set and a right set.

A cryptographic circuit performs a substitution operation of a cryptographic algorithm based on a scrambled substitution table. For each set of one or more substitution operations of the cryptographic algorithm, the circuit performs a series of sets of one or more substitution operations of which: one is a real set of one or more substitution operations defined by the cryptographic algorithm, the real set of one or more substitution operations being based on input data modified by a real scrambling key; and one or more others are dummy sets of one or more substitution operations, each dummy set of one or more dummy substitution operations being based on input data modified by a different false scrambling key.

A method, and system for a distributed artificial intelligence architecture may be shown and described. An embodiment may present an exemplary distributed explainable neural network (XNN) architecture, whereby multiple XNNs may be processed in parallel in order to increase performance. The distributed architecture may include a parallel execution step which may combine parallel XNNs into an aggregate model by calculating the average (or weighted average) from the parallel models. A distributed hybrid XNN/XAI architecture may include multiple independent models which can work independently without relying on the full distributed architecture. An exemplary architecture may be useful for large datasets where the training data cannot fit in the CPU/GPU memory of a single machine. The component XNNs can be standard plain XNNs or any XNN/XAI variants such as convolutional XNNs (CNN-XNNs), predictive XNNS (PR-XNNs), and the like, together with the white-box portions of grey-box models like INNs.

Decision trees can be securely evaluated with reasonable computation speed and bandwidth utilization. A user device encrypts input vectors using a client's public key in an additively homomorphic encryption system. A server computer effectively randomizes the decision tree for each use, such that a value indicative of a path resulting from applying an input vector to the decision tree is different each time the decision tree is used. The server computer homomorphically computes the evaluations of each decision node. The server computer provides the value indicative of the path through the decision tree as one part accessible by the client, and another part accessible by the server. The server computer uses the parts to look up a corresponding output value from a database of output values for each path. In this operation, only the output value corresponding to the combined parts can be retrieved, and only by the intended recipient.

In a general aspect, pseudorandom integers are generated for use in a cryptographic protocol. In some aspects, a first plurality of digits are obtained and converted to a second plurality of digits. The first plurality of digits (e.g., bits) represent an integer in a first number system (e.g., binary), and the second plurality of digits (e.g., trits) represent the integer in a second number system (e.g., trinary). A plurality of integers in the first number system are generated based on the second plurality of digits, and an array of integers is produced. Each integer in the array is less than a modulus, and the array includes the plurality of integers. The array of integers can be used in a lattice-based cryptographic protocol.

An interactive multi-party system for collaboratively performing homomorphic operations, such that no party has access to unencrypted data or an unencrypted operator. A first party device may add noise to encrypted data and an encrypted linear operator to generate noisy encrypted data and a noisy encrypted operator, and transmit the noisy encrypted data and operator to a second party device possessing a secret decryption key for the encryption. The second party device may decrypt the noisy encrypted data and noisy encrypted operator to generate unencrypted noisy data and an unencrypted noisy operator, solve the linear operation using the unencrypted noisy data and an unencrypted noisy operator to generate a noisy solution, encrypt the noisy solution to the linear operation, and transmit it to the first party device. The first party device may then cancel the noise of the encrypted noisy solution to generate the encrypted solution to the linear operation.

To calculate of an exclusive OR of elements of bits while the bits remain distributed to a plurality of secret calculation devices without communication among the secret calculation devices, and to calculate of an AND of bits with small amounts of communication and calculation while the bits remain distributed, provided is a secret calculation device including a local AND device and an AND redistribution device. The local AND device receives at least two one-bit input elements to produce a first local AND element. The AND redistribution device receives a one-bit mask and a second local AND element acquired by calculating an exclusive OR of the first local AND element and P bits (P is an integer equal to or more than 0), calculates a first OR, and communicates to/from an AND redistribution device of another secret calculation device to produce at least one one-bit output element.

Utilizing error correction (ECC) for secure secret sharing includes computing an encrypted key using a key and a number of random values, computing, based on a first ECC scheme, a key ECC for the encrypted key and the random values, and storing a number of key fragments on a number of storage servers, the number of key fragments includes the encrypted key, the random values, and the key ECC.

A device is provided for jamming electromagnetic radiation liable to be emitted by at least one portion of an interconnect region located above at least one zone of an integrated electronic circuit produced in and on a semiconductor substrate. The device includes an antenna located above the at least one zone of the circuit and generating circuit coupled to the antenna and configured to generate an electrical signal having at least one pseudo-random property to pass through the antenna.

This invention establishes means and protocols to secure data, using large undisclosed amounts of randomness, replacing the algorithmic complexity paradigm. Its security is credibly appraised through combinatorics calculus, and it transfers the security responsibility to the user who determines how much randomness to use. This Trans-Vernam cryptography is designed to intercept the Internet of Things where the ‘things’ operate on limited computing capacity and are fueled by fast draining batteries. Randomness in large amounts may be quickly and conveniently stored in the most basic IOT devices, keeping the network safe.