Fast hashing and rotation-symmetric functions

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August undefined, 2024

WebRotation symmetric Boolean functions (RSBFs) that are invariant under circular translation of indices have been used as components of different cryptosystems. In this paper, even-variable-balanced RSBFs with maximum algebraic immunity (AI) are investigated. At first, we give an original construction of 2 m -variable-balanced RSBFs … WebFeb 28, 2024 · A new construction of rotation symmetric bent functions with maximal algebraic degree Sihong Su, School of Mathematics and Statistics, Henan University, …

Constructions of resilient rotation symmetric Boolean functions …

WebMay 1, 2003 · In 1999, Pieprzyk and Qu presented rotation symmetric (RotS) functions as components in the rounds of hashing algorithm. Later, in 2002, Cusick and Stǎnicǎ … WebSep 1, 2014 · It was only after 1998 that the terminology ‘rotation symmetric Boolean functions’ became standard for these functions. RSBFs are widely used as they are very fast to implement [ 3 , 4 ]. For instance, Pieprzyk and Qu [ 3 ] studied RSBFs as components in the round of a hashing algorithm and in the implement of MD4, MD5 and … total comfort heating and air new mexico

A Note on Rotation Symmetric S-boxes SpringerLink

WebJul 1, 2011 · Rotation symmetric Boolean functions (RSBFs) that are invariant under circular translation of indices have been used as components of different cryptosystems. In this paper, even-variable-balanced ... WebMay 2, 2007 · [21] J. Pieprzyk and C. X. Qu. Fast hashing and rotation-symmetric functions. ... (9−1)/2}, were discovered in the class of Rotation Symmetric Boolean Functions (RSBFs), and one year later, this ... WebIt is shown that shortening of rotation-symmetric functions paradoxically leads to more expensive evaluation process and a new class of Boolean functions whose evaluation is especially eÆcient and they are called rotation symmetric. EÆcient hashing is a … total comfort heating and cooling sheridan wy

Fast Hashing and Rotation-Symmetric Functions

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WebEfficient hashing is a centerpiece of modern Cryptography. The progress in computing technology enables us to use 64-bit machines with the promise of 128-bit machines in … WebIn [2], Pieprzyk and Qu studied some functions, which they called rotation symmetric (RotS), as com-ponents in the rounds of a hashing algorithm. The study of RotS functions was continued in [1,4]. When efﬁcient evaluation of the function is important, for instance, in the implementation of MD4, MD5 or HAVAL, the RotS property is desirable ... total comfort honeywell loginWebMar 4, 2024 · Rotation symmetric functions are introduced in for the design of fast hash function. Due to their special structure and good algebraic properties, rotation symmetric Boolean functions having cryptographic properties have been investigated extensively, such as bent rotation symmetric Boolean functions [ 3 , 10 ], resilient rotation … total comfort heating and cooling ormond fl

"WebJan 1, 2009 · We improve parts of the results of [T. W. Cusick, P. Stanica, Fast evaluation, weights and nonlinearity of rotation-symmetric functions, Discrete Mathematics 258 (2002) 289–301; J. Pieprzyk, C ... " - Fast hashing and rotation-symmetric functions

Fast hashing and rotation-symmetric functions

A new construction of rotation symmetric bent functions with …

WebOct 16, 2024 · Pieprzyk J and Qu C, Fast Hashing and rotation symmetric functions, Journal of Universal Computer Science, 1999, 5(1): 20–31. MathSciNet Google Scholar Rijmen V, Barreto P, and Filho D, Rotation symmetry in algebraically generated cryptographic substitution tables, Information Processing Letters, 2008, 106: 246–250. WebNov 30, 2024 · Rotation symmetric bent functions are a special class of Boolean functions, and their construction is of theoretical and practical interest. In this paper, we propose a generic construction of rotation symmetric bent functions by modifying the support of a known class of quadratic rotation symmetric bent functions, which …

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WebMay 31, 2014 · Proof. In order to count the number of n -variable balanced rotation symmetric Boolean functions, N n, we divide the 2 n elements of ( GF ( 2)) n into two groups A n and B n of equal size 2 n − 1. Since the function that we are considering is rotation symmetric, the vectors in the same orbit must be in the same group. WebMay 31, 2014 · Rotation symmetric Boolean functions were first introduced by Pieprzyk and Qu in 1999 [11] and used as components in hashing algorithms to speed up the …

WebRotation-Symmetric Functions and Fast Hashing; Article . Free Access. Share on. Rotation-Symmetric Functions and Fast Hashing. Authors: Josef Pieprzyk. View … WebNov 1, 2014 · In recent years, rotation symmetric (RotS) functions have proven to be very useful in several areas of cryptography [2, pp. 108–118]. This has led to many papers, which study different aspects of the theory of rotation symmetric functions. Some of these papers are [2-12]. We say a Boolean function is ‘rotation symmetric’ if the algebraic ...

WebDec 31, 2003 · In this paper we present a constructive detection of minimal monomials in the algebraic normal form of rotation symmetric Boolean functions (immune to circular translation of indices). ... Fast evaluation, weights and nonlinearity of rotation-symmetric functions, Discrete Math. 258 (1-3) (2002) 289-301. ... Fast hashing and rotation … WebJan 1, 2006 · Abstract. Efficient hashing is a centerpiece of modern cryptography. The progress in computing technology enables us to use 64-bit machines with the promise of …

WebDec 3, 2011 · Stanica P, Maitra S, Clark J. Results on rotation symmetric bent and correlation immune Boolean functions. In: Proceedings of Fast Software Encryption Workshop, Delhi, India, 2004. 161–177. Pieprzyk J, Qu C X. Fast hashing and rotation-symmetric functions. J Univ Comput Sci, 1999, 5: 20–31. MathSciNet Google Scholar …

total comfort humidifier homedicsWebFeb 28, 2024 · A new construction of rotation symmetric bent functions with maximal algebraic degree Sihong Su, School of Mathematics and Statistics, Henan University, Kaifeng 475004, China ... J. Pieprzyk and C. Qu, Fast hashing and rotation-symmetric functions, J. Univ. Comput. Sci., 5 (1999), ... total comfort homedics humidifierWebTom St Denis, Greg Rose, in BigNum Math, 2006. 5.3.3 Even Faster Squaring. Just like the case of algorithm fast_mult (Section 5.2.3), squaring can be performed using the full … total comfort home careWebFast Hashing and Rotation-Symmetric Functions. Efficient hashing is a centerpiece of modern Cryptography. The progress in computing technology enables us to use 64-bit … total comfort heating and cooling kansas cityWebJul 1, 2024 · Rotation symmetric bent functions and their generation two-rotation symmetric bent functions are two classes of cryptographically significant Boolean functions. However, few constructions have been presented in … total comfort heating and cooling ridgetownWebJan 28, 1999 · Abstract: Efficient hashing is a centerpiece of modern Cryptography. The progress in computing technology enables us to use 64-bit machines with the promise of … total comfort heating and cooling floridaWeb1 Introduction. Rotation symmetric Boolean functions (RSBFs), which are invariant under the actions of the cyclic group, have been used as the components in the round of a hashing algorithm and in the implementation of MD4, MD5, and HAVAL 1.It has been experimentally found that RSBFs are extremely rich in Boolean functions with good … total comfort humidifier plus