A Novel Cryptographic Substitution Box Design Using Gaussian Distribution

Khan, Muhammad Fahad; Ahmed, Adeel; Saleem, Khalid

doi:10.1109/access.2019.2893176

Cited by 62 publications

(50 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Consequently, dynamic S-boxes harden a cipher against potential brute-force attacks by increasing the key space [10]. In order to measure the strength of an S-box, researchers compare their S-box performance against available benchmark including Nonlinearity (NL), Linear Approximation Probability (LAP), Differential Approximation Probability (DAP), Strict Avalanche Criterion (SAC) and Bit Independence Criterion (BIC) [2,7,[10][11][12][13][14][15][16][17]. Efficient methods for S-box construction, such as [7,11,14], generate a single or a limited number of static S-boxes.…”

Section: A S-box Based Encryptionmentioning

confidence: 99%

See 1 more Smart Citation

Efficient Image Encryption Scheme Using Henon Map, Dynamic S-Boxes and Elliptic Curve Cryptography

Ibrahim

Alharbi

2020

IEEE Access

View full text Add to dashboard Cite

Image encryption schemes can be vulnerable to a variety of cryptanalysis attacks. The use of key-dependent dynamic S-boxes has been shown to improve security. Threats of chosen-plaintext and chosen-ciphertext attacks still linger. In this paper, we present an efficient algorithm for constructing secure dynamic S-boxes derived from Henon map. We use the proposed dynamic S-box to construct an image encryption scheme that includes a novel combination of security features to resist chosen-plaintext and chosen-ciphertext attacks. Namely, a hash verification step at the end of the decryption procedure effectively thwarts chosen-ciphertext attacks. The hash also serves as an image dependent initialization for the keystream, which together with using an image dependent S-box resist known-plaintext attacks. Furthermore, encryption keys are protected against cryptanalysis using elliptic curve cryptography (ECC).Therefore, the recovery of secret keys is as hard as the elliptic curve discrete logarithm problem even in the unlikely case of the recovery of the temporary S-box or keystream. Our evaluation of the proposed image encryption scheme reveals that it achieves a higher security standard than existing techniques. Moreover, the proposed scheme is computationally efficient with encryption throughput approaching 60 MB/s. INDEX TERMS chaotic map, elliptic curve cryptography, image encryption, substitution box.

show abstract

Section: A S-box Based Encryptionmentioning

confidence: 99%

“…Efficient methods for S-box construction, such as [7,11,14], generate a single or a limited number of static S-boxes. To address this limitation, several dynamic S-box construction methods have been developed such as [1] [2,10,12,13,16].…”

Section: A S-box Based Encryptionmentioning

confidence: 99%

Efficient Image Encryption Scheme Using Henon Map, Dynamic S-Boxes and Elliptic Curve Cryptography

Ibrahim

Alharbi

2020

IEEE Access

View full text Add to dashboard Cite

show abstract

“…The assessment of the S-box defines its further application in various cryptographic schemes and multimedia security [28]- [30]. For this purpose, different theoretic and statistical performance measures are being utilized to evaluate the strength of S-boxes [31].…”

Section: Substitution Boxes Analysismentioning

confidence: 99%

Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System

Jamal

Anees²,

Ahmad

et al. 2019

IEEE Access

Self Cite

View full text Add to dashboard Cite

Over the last few decades, different mediums of secure communication use chaos which is demonstrated by some nonlinear dynamical systems. Chaos shows unpredictable behavior and this characteristic is quite helpful in different encryption techniques and for multimedia security. In this work, the chaotic behavior of the improved Tent-Sine map is conferred and ultimately a new method to construct substitution-boxes is proposed. This new method explores the features of chaos through TSS map and algebraic Mobius transformation to generate strong S-boxes. The S-boxes are assessed using standard tests suit which includes nonlinearity, strict avalanche criterion, bit independence criterion, linear approximation probability and differential uniformity. Moreover, the proposed S-boxes show excellent statistical properties under majority logic criterions such as correlation, homogeneity, energy, entropy, contrast. The statistical encryption results are demonstrate the better performance of the proposed S-boxes when compared with some of state of the art S-boxes including AES, Gray, APA S8 AES, Skipjack and validate the suitability of anticipated method. INDEX TERMS Substitution-box, block cipher, improved chaotic map, nonlinearity.

show abstract

“…Most of these S-boxes give DP value of 10/256. In [32], an S-box is designed using Gaussian distribution and linear fractional transformation by applying the Box-Muller transform, polarization decision, and central limit algorithm. The research work in [33] proposed a way of generating highly non-linear n × n S-boxes for 3 ≤ n ≤ 7.…”

Section: Introductionmentioning

confidence: 99%

Generation of Highly Nonlinear and Dynamic AES Substitution-Boxes (S-Boxes) Using Chaos-Based Rotational Matrices

et al. 2020

View full text Add to dashboard Cite

This work reports a novel chaos-based affine transformation generation method, which is based on rotational matrices to design strong key-based S-boxes. Chaotic logistic map's nonlinear trajectories are used to generate rotational matrices under given design conditions. Thus, the inherent logic is to generate key-based S-boxes, as strong as AES S-box, in terms of cryptographic properties using chaos in affine transformation. The randomness of chaotic sequences is tested using the National Institute of Standard and Technology (NIST) Statistical Test Suit (STS) 800-22 that validates the generated sequences for S-box design. The results show that methodology adapted to design proposed key-based dynamic S-boxes entails near-optimal cryptographic properties so that proposed S-boxes are as stronger as AES S-box. INDEX TERMS Affine transformation, chaotic logistic map, S-box, NIST test.

show abstract

A Novel Cryptographic Substitution Box Design Using Gaussian Distribution

Cited by 62 publications

References 48 publications

Efficient Image Encryption Scheme Using Henon Map, Dynamic S-Boxes and Elliptic Curve Cryptography

Efficient Image Encryption Scheme Using Henon Map, Dynamic S-Boxes and Elliptic Curve Cryptography

Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System

Generation of Highly Nonlinear and Dynamic AES Substitution-Boxes (S-Boxes) Using Chaos-Based Rotational Matrices

Contact Info

Product

Resources

About