Research ArticleOpen accessIn the abstractFundamental Properties of the Galois CorrespondenceAyinde S. Olukayode, Oyekan E. AbiodunProblem Statement: Let K is the splitting field of a polynomial f(x) over a field F and αn be the roots of f in K. Let G be embedded as a subgroup of the symmetric group ς. We determined the Galois group G, and the subgroup. Approach: computed some auxiliary polynomials that had roots in K, where the permutation of … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,292 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Non-Exchanged Password Scheme for Password-Based Authentication in Client-Server SystemsShakir M. Hussain, Hussein Al-BahadiliThe password-based authentication is widely used in client-server systems. This research presents a non-exchanged password scheme for password-based authentication. This scheme constructs a Digital Signature (DS) that is derived from the user password. The digital signature is then exchanged instead of the password itself for the purpose of authentication. Therefore, we refer to it as a Password-Based Digital Signature (PBDS) … …American Journal of Applied Sciences, Vol. 5, Issue 12 · 31 Dec 2008 · 7,002 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Presence of Cascading Effect in the Key Expansion Mechanism of Rijndael-The AESY. Talwar, C.E. Veni Madhavan, Navin RajpalRijndael-The AES is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look on the Key Expansion Mechanism of Rijndael - The AES. This study highlights on the presence of the cascading effect in its key expansion mechanism. Thus, lowering the brute-force … …Journal of Computer Science, Vol. 2, Issue 2 · 28 Feb 2006 · 6,807 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Partial Linearization of Byte Substitution Transformation of Rijndael-The AESY. Talwar, C. E.V. Madhavan, Navin RajpalRijndael-The AES[1-3] is 128-bit block cipher based on an elegant algebraic structure over F28. This cipher employs a simple approach to its substitution, permutation (SP) operations. We take a close look at its internals; the byte substitution transformation function is the only non-linear function in Rijndael - The AES. This transformation comprises of two steps operating on each byte. Here … …Journal of Computer Science, Vol. 2, Issue 1 · 31 Jan 2006 · 6,861 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Key Dependent Encryption Algorithm Based on Multiple Bitwise-Shuffling and XOR Variable-Length PartitionsAbdelfatah Aref TamimiThis new algorithm employs shuffling procedures combined with variable-length key-dependent XOR and S-box substitutions to perform lossless image encryption. This algorithm was implemented and tested by performing different permutations of shuffling, XOR encryption and S-box substitution. Empirical analysis using different types of test images of different sizes showed that this new algorithm is effective and resistant to statistical attacks. The … …Journal of Computer Science, Vol. 12, Issue 2 · 26 Mar 2016 · 7,679 accessesView PDFCite