Abstract. In this paper we derive an explicit formula for the number of representations of an integer by the sextenary form x + y + z + 7s + 7t + 7u. We establish the following intriguing inequalities 2b(n) ≥ a7(n) ≥ b(n) for n 6= 0, 2, 6, 16. Here a7(n) is the number of partitions of n that are 7-cores and b(n) is the number of representations of n +2 by the sextenary form (x + y + z + 7s + 7t...

we study the problem of reconstructing binary images from four projections data in a fuzzy environment. given the uncertainly projections,w e want to find a binary image that respects as best as possible these projections. we provide an iterative algorithm based on fuzzy integer programming and linear membership functions.

Providing Privacy and security for aggregated data in wireless sensor networks has drawn the attention of practicing engineers researchers globally. Several cryptographic methods have been already proposed to solve integrity problems data. Matrix cryptography is a better option creating secure encryption/decryption algorithms counter quantum attack. However, these higher computational cost incr...