VBF swMATH ID: 20673 Software Authors: José Antonio Álvarez-Cubero, Pedro J. Zufiria Description: Algorithm 959: VBF: a library of C++ classes for vector Boolean functions in cryptography. VBF is a collection of C++ classes designed for analyzing vector Boolean functions (functions that map a Boolean vector to another Boolean vector) from a cryptographic perspective. This implementation uses the NTL library from Victor Shoup, adding new modules that call NTL functions and complement the existing ones, making it better suited to cryptography. The class representing a vector Boolean function can be initialized by several alternative types of data structures such as Truth Table, Trace Representation, and Algebraic Normal Form (ANF), among others. The most relevant cryptographic criteria for both block and stream ciphers as well as for hash functions can be evaluated with VBF: it obtains the nonlinearity, linearity distance, algebraic degree, linear structures, and frequency distribution of the absolute values of the Walsh Spectrum or the Autocorrelation Spectrum, among others. In addition, operations such as equality testing, composition, inversion, sum, direct sum, bricklayering (parallel application of vector Boolean functions as employed in Rijndael cipher), and adding coordinate functions of two vector Boolean functions are presented. Finally, three real applications of the library are described: the first one analyzes the KASUMI block cipher, the second one analyzes the Mini-AES cipher, and the third one finds Boolean functions with very high nonlinearity, a key property for robustness against linear attacks. Homepage: http://dl.acm.org/citation.cfm?id=2936306.2794077 Keywords: Boolean functions; cryptography; nontrigonometric Fourier analysis; software Related Software: SageMath; VBFlib; MatPack; CrypTool; boolfun; KASUMI; NTL Cited in: 2 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Algorithm 959: VBF: a library of C++ classes for vector Boolean functions in cryptography. Zbl 1369.94517Álvarez-Cubero, José Antonio; Zufiria, Pedro J. 2016 Cited by 2 Authors 2 Álvarez-Cubero, José Antonio 2 Zufiria, Pedro J. Cited in 2 Serials 1 ACM Transactions on Mathematical Software 1 SIAM Journal on Optimization Cited in 3 Fields 2 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year