An efficient residue-to-binary converter for the new moduli set {2&lt;sup&gt;n/2&lt;/sup&gt; &amp;#x00B1; 1, 2&lt;sup&gt;2n&amp;#x002B;1&lt;/sup&gt;,2&lt;sup&gt;n&lt;/sup&gt; &amp;#x002B; 1}

Siewobr, H.; Gbolagade, Kazeem Alagbe; Cotofana, Sorin

doi:10.1109/isicir.2014.7029510

Cited by 2 publications

(2 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus the number Y in this system is represented as Y = (y 1 , y 2 , y 3,…, y n ) ,0≤ y i < m i . [6] Given the moduli set {7,8,9}, the number 150 can be represented in RNS as: To avoid redundancy, the moduli set must be pair wise relatively prime. Thus gcd (m i ,m j ) =1 for i≠j, where gcd means the greatest common divisor of m i ,m j.…”

Section: Background Of Rnsmentioning

confidence: 99%

Image Encryption System based on Length Three Moduli Set

Peter¹

2018

IJCA

View full text Add to dashboard Cite

Digital images have found usage in almost all our everyday applications. These images sometimes contain confidential and intelligible information which need to be protected when stored on memory or transmitted over networks (Intranet or Internet). Many techniques have been proposed to deal with this security issues in the past. This paper proposes a simple scrambling algorithm to encrypt and decrypt the grey level image based on random number generation and Residue Number System (Forward and Reverse Conversion). The image is first encrypted by changing the position of each pixel in the original image without changing the value of grey level. The original image reads row by row, pixel by pixel and each pixel will take a new position in the scrambled image. The new position is chosen based on random number generation from the random number generator. The key will be generated as a matrix during the encryption process and also the key saves the position of each pixel in the encrypted/scrambled image. The encryption layer transforms the scrambled image to moduli images which automatically adds an extra security layer to our data. The encrypted moduli images is decrypted by decoding the moduli images and converting them back to a single scrambled image (Reverse Conversion) and the single scrambled image back to the Plain and Original Image by using the saved key matrix. This scheme achieves an enhanced image encryption process and a more efficient decryption process without loses of any inherent information of the recovered plain image.

show abstract

Section: Background Of Rnsmentioning

confidence: 99%

Image Encryption System based on Length Three Moduli Set

Peter¹

2018

IJCA

View full text Add to dashboard Cite

show abstract

“…This has resulted in the development of a number of error detection and error correction algorithms. The decoding of Redundant Residue Number System is commonly carried out using Chinese Remainder Theorem (CRT) [10][11][12] [13]. Implementation of CRT decoder at the receiver results in a computational complexity of order 0(n3), where n is the number of non redundant moduli [11].…”

Section: Redundant Residue Number Systemmentioning

confidence: 99%

Generalized Information Security and Fault Tolerant based on Redundant Residue Number System

Aremu¹,

Gbolagade²

2017

IJCA

View full text Add to dashboard Cite

Residue number systems bestow a first class means for exceptionally long integer arithmetic. Their carry-free operations make parallel implementations feasible. Some applications involving very long integers, such as information security, rely heavily on fast modulo reductions. Information Security is an extensive issue and covers a huge number of crimes. In its simplest form, it is concerned with making sure that curious people cannot read or modify messages anticipated for other recipients, and Fault-tolerant computing is the art and science of building computing systems that continue to operate adequately in the presence of faults. In this paper, a generalized information security and fault tolerant system using Redundant Residue Number System (RRNS) was proposed, the theoretical result show that our proposed scheme is out performed better compared with the state of the art in term of the computation time and space, called Delay and Area respectively and also provides more security to the data. General TermsInformation Security, Fault Tolerant, Data communication, Sensors Network KeywordsResidue Number System (RNS), Redundant Residue Number System (RRNS), Mixed-Radix Conversion (MRC), Chinese Remainder Theorem (CRT) INTRODUCTIONFault tolerance and Information security started as two separate research fields, leading to related but different taxonomy, tactic, and technologies. Information Security is an extensive issue and covers a huge number of crimes. In its simplest form, it is concerned with making sure that curious people cannot read, or modify messages anticipated for other recipients. It is concerned with people trying to access remote services that they are not authorized to use. Information security can be identified by three facets [1] [2]. The concepts can be seen as the objectives with security regarding Information Technology and Information security [3]. The three facets of information security are Confidentiality, Integrity and Availability. Confidentiality is the avoidance of unauthorized disclosure of the information assets; integrity is the prevention of unlawful modification of the information assets, while availability is to give right of entry to information when required. A fault tolerant system possibly will tolerate the following fault types which includingtransient, intermittent or permanent hardware faults, software and design errors, operator errors, or externally induced upsets or physical damage [4]. The rest of this paper is organized as follows. Section 2 presents the fault tolerance Section 3 provides an overview of residue number system section 4 presents redundant residue number system Section 5 Discuss the proposed error correction and detention using RRNS. Section 6 demonstrates the application of the proposed scheme in data communication. Section 7 present the performance evaluation and section 8 discussed the conclusions. FAULT TOLERANCEThe integrity of data has tremendous effects on the performance of any data acquisition system. Noise and other disturbances can ...

show abstract

An efficient residue-to-binary converter for the new moduli set {2<sup>n/2</sup> ± 1, 2<sup>2n+1</sup>,2<sup>n</sup> + 1}

Cited by 2 publications

References 14 publications

Image Encryption System based on Length Three Moduli Set

Image Encryption System based on Length Three Moduli Set

Generalized Information Security and Fault Tolerant based on Redundant Residue Number System

Contact Info

Product

Resources

About