Algebraic Aspects of Digital Communications (Electronic book text)

Developments of the last few decades in digital communications have created a close link between mathematics and areas of computer science and electrical engineering. A collaboration between such areas now seems very natural, due to problems which require deep knowledge and expertise in each area. Algebra and some of its branches, such as algebraic geometry, computational algebra, group theory, etc., have played a special role in such collaboration. As a result, there are now disciplines such as coding thory and cryptography, which are considered a mix of mathematics, computer science and electrical engineering. Algebraic Aspects of Digital Communications focuses on connections between algebra, algebraic geometry, number theory, graph theory and related aeas of mathematics with coding theory and cryptography. This publication is aimed at mathematicians, computer scientists and engineers who need to explore ties between algebra and coding theory and cryptography.