Towards the Construction of Reed-Muller Code Based Symmetric Key FHE

Homomorphic encryption (HE) schemes became popular cryptographic primitives and very useful in variety of security applications. Homomorphic encryption based on coding theory have the advantages of faster computations due to the structural properties of the codes used. Several schemes are supporting unlimited Mod2 addition operations in literature. The present paper introduces Reed-Muller (RM) code based Mod2 multiplication operation thereby making RM code based HE scheme fully homomorphic. The representation of the codeword with necessary adaption to support unlimited number of Mod2​ multiplication operations is presented along with the scheme first. The correctness proof of the homomorphic operations along with experimental evaluation is also presented to demonstrate the practical aspects of the proposal.

A New Method to Identify and Quantify Hydraulic Communication between Isolated Reservoir Systems Using Pressure-Transient Data

A new analytical workflow that uses pressure-transient data to characterize connectivity between two originally non-communicating reservoir zones is presented. With this technique, hydraulic communication is clearly identified and corresponding fluid crossflow rates accurately quantified. It is applicable to a wide range of communication mechanisms, including inactive commingled-completion wells, conductive fractures and faults, in addition to behind-casing completion problems. The impact of interference is also captured by handling an unlimited number of wells and communicating media. The solution uses pressure-transient data effectively to diagnose communication and estimate the amount of transported fluids. The new formulation is a general formulation for handling an unlimited number of producing wells and communicating media, which helps analyze pressure responses under the influence of interference. The reservoir system under consideration is assumed to be two-dimensional with two initially-isolated reservoir zones, intersected by an arbitrary number of wells, part of which are active producers while others can be penetrating wells with commingled completion, in addition to other communicating media. The well test duration is assumed long enough for the pressure-transient data to be affected by fluid communication. To demonstrate the applicability of the new model, a synthetic case study is presented to diagnose a fluid-communication mechanism. The system under consideration consists of two isolated reservoirs and two wells: a single producer completed in the top reservoir in which pressure responses are measured, and an offset well connecting both reservoirs through a fluid communication mechanism. Using the model, type-curves have been utilized to diagnose the hydraulic communication in the offset well. The connectivity of the communication channel in the offset well is also estimated by matching the pressure-transient responses of the model with the measured data. The rate of crossflow between the two reservoirs is also quantified as a function of time. It is observed from the log-log plot that higher connectivity values of the cement sheath causes a steeper merging ramp in the transition region, following a period dominated by the producing reservoir. Although the rate of crossflow depends on the magnitude of the connectivity, it is observed that there is an upper limit controlled by the rock and fluid properties of the individual reservoirs. In addition, the pressure regime at the location of the offset well plays an important role in the rate of crossflow. This study presents a novel analytical approach to detect communication from pressure-transient data, and to quantify the magnitude of crossflow rates between reservoir zones. The formulation captures the influence of interference between wells caused by production. While complementing diagnostic information from other sources to confirm fluid movement from isolated zones, the method also quantifies the connectivity of the communicating media, and the amount of crossflow rates as a continuous function of time.

Impacts of Risks Over Benefits in the Adoption of Self-Tracking Technologies

Self-tracking (ST) technologies offer an unlimited number of opportunities to improve human life, especially health and well-being. Many scholars have been interested in this technology because of its worldwide spread but have not emphasized the benefits versus ST practices risks. This paper presents a literature review of the benefits and risks of ST practices to close this gap. It also develops a multidisciplinary research model based on the extended valence framework. This model offers five hypotheses highlighting the importance of considering technological, social, and health factors when measuring ST adoption. The results show that the perceived benefits outweigh the risks. Health is paramount in the perception of benefits. These results lead us to make a few recommendations for practitioners.

Impacts of Risks Over Benefits in the Adoption of Self-Tracking Technologies

Self-tracking (ST) technologies offer an unlimited number of opportunities to improve human life, especially health and well-being. Many scholars have been interested in this technology because of its worldwide spread but have not emphasized the benefits versus ST practices risks. This paper presents a literature review of the benefits and risks of ST practices to close this gap. It also develops a multidisciplinary research model based on the extended valence framework. This model offers five hypotheses highlighting the importance of considering technological, social, and health factors when measuring ST adoption. The results show that the perceived benefits outweigh the risks. Health is paramount in the perception of benefits. These results lead us to make a few recommendations for practitioners.

Improved Bootstrapping by FFT on Encrypted Multi Operands Homomorphic Addition

Bootstrapping is a technique that was introduced by Gentry in 2009. It is based on reencryption which allows an encryption scheme to perform an unlimited number of processing on encrypted data. It is a bottleneck in the practicability of these schemes because of multiplication operations which are costly in complexity. This complexity was reduced in TFHE by processing bootstrapping on the result of a two-bit logic gate in thirteen milliseconds using the Fast Fourier Transform. Building on this advance, an implementation of the addition of ten (10) numbers of 32-bits was performed based on the 32-bit Carry Look ahead Adder and was executed in less than 35 seconds using the configured SPQLIOS Fast Fourier transform to manipulate AVX and FMA instructions. This connector improves performance to a higher level than FFTW3 and NAYUKI.

Assessing The Suitability of New Film Laminates For Sustainable Insect Eradication By Modified Atmosphere In Museums

The increasing demand for applying modified inert atmosphere (MIA) systems for insect eradication in museums has led to the desire for lower-cost consumable materials, particularly laminated plastic films. An ultra-low oxygen-permeable laminate is required for creating successful MIA systems to keep the oxygen concentration lower than 0.3%, which is commercially available but at a high cost. The wide use of local laminated films for food preservation makes them a perfect target for testing and improvement for MIA applications. However, the lack of laboratory oxygen permeability test methods to gauge the potential of local laminates for inclusion in MIA applications distracts attention from looking at them as alternatives and encourages the expense on extremely expensive imported ones. Therefore, the present work investigates the potential of employing two laminates (one local and one imported) to create a successful leak-proof MIA system. A laboratory easy-to-use test method was developed to assess the oxygen-gas retention property of each laminate by measuring its oxygen permeability and consequently oxygen transmission rate (OTR). The test method is a sealed static diffusion chamber separated in the middle by a known area (cm2) of the test laminate to be tested. The test relies on measuring the concentration of oxygen in either sides of the laminate membrane within the sealed system and monitors the change over time to assess the OTR of the laminate. The specifications and design of the test chamber are adapted from the ASTM Designation: E2945 − 14, to meet the facilities of a typical artefact fumigation laboratory. The test is undertaken at standard MIA conditions (temperature of 25°C, relative humidity of 45%, and target oxygen concentration of 0.3). Results indicated that the new method is useful for an unlimited number of tests of an unlimited number of laminates. The conducted tests proved that the local laminate normally used for food packaging has superior advantages over the long-used imported ones.

Using Free Mathematical Software in Engineering Classes

There are many computational applications and engines used in mathematics, with some of the best-known arguably being Maple, Mathematica, MATLAB, and Mathcad. However, although they are very complete and powerful, they demand the use of commercial licences, which can be a problem for some education institutions or in cases where students desire to use the software on an unlimited number of devices or to access it from several of them simultaneously. In this contribution, we show how GeoGebra, WolframAlpha, Python, and SageMath can be applied to the teaching of different mathematical courses in engineering studies, as they are some of the most interesting representatives of free (and mostly open source) mathematical software. As the best way to show a topic in mathematics is by providing examples, this article explains how to make calculations for some of the main topics associated with Calculus, Algebra, and Coding theories. In addition to this, we provide some results associated with the usage of Mathematica in different graded activities. Moreover, the comparison between the results from students that use Mathematica and students that participate in a “traditional” course, solving problems and attending to master classes, is shown.

The structure of an agent-oriented model of the formation of social groups from a random set of individuals (part 1)

This article describes a model for the formation of groups of individuals from a random set of individuals who have a certain amount of knowledge about the environment and have a certain relationship to each of the phenomena (further – notion) of the world around them that they know. The rules of combining individuals from this initial set into groups of individuals and the rules for changing the attitude of individuals to notions known to them under the influence of their contacts with other individuals are described. The process of formation of groups of individuals and changes in their attitudes to the notions is cyclical, with an unlimited number of repetitions of this cycle. The model is based on the theory of agent-oriented models (AOM) and is implemented in a set of programs written in Visual Basic.

EXTERNAL ENVIRONMENT MODEL IN PROCESS OF MONITORING TECHNICAL CONDITION OF COMPLEX OBJECTS

The article proposes a dynamic model of the external environment for an unlimited number of influencing factors based on the interpolation of a table function. The results of simulation of the process of movement of the observed object under the influence of factors dependent on its coordinates and time of observation are considered.