This paper describes a modification of the conventional M-ary Differential Phase Shift Keying MDPSK scheme. This method reduces the number of phases which improves the performance of the system by applying a mathematical method from the combinatorial theory called Balanced Incomplete Block Design BIB-design. It is a coding modulation technique in which the signal is represented by a set of phas...

In this chapter, the underlying ideas behind diversity-oriented synthesis are introduced. The relationship between diversity-oriented synthesis and combinatorial chemistry is discussed, and the rationale behind the use of diversity-oriented synthesis as a tool for the discovery of biologically active molecules is explained. Common synthetic strategies for the efficient generation of structurall...

In combinatorial number theory, there are many topics related to group structure. Even for abelian or cyclic groups, there are some very challenging unsolved conjectures. In this talk we give a survey of problems, results and methods in several fields of combinatorial number theory. The topics include sumsets in additive combinatorics, Snevily’s conjecture and Latin transversals, covers of the ...

We study the joint recognition problem, which asks for the identification and classification of kinematic joints from a geometric constraint system. By laying the foundation for a rigidity-theoretic study of flexible body-and-cad frameworks, we obtain an O(n) algorithm for identifying prismatic and revolute joints relative to a specific body and an O(n) algorithm for finding all pair-wise joint...

In this short review we first recall combinatorial or (0–dimensional) quantum field theory (QFT). We then give the main idea of a standard QFT method, called intermediate and how to apply method reformulation celebrated Jacobian Conjecture on invertibility polynomial systems. This approach establishes related theorem concerning partial elimination variables that implies reduction generic case q...