An Introduction to Abstract Algebra
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چکیده
algebra plays a fundamental role in many areas of science and engineering. In this chapter we describe a variety of basic algebraic structures that play roles in the generation and analysis of sequences, especially sequences intended for use in communications and cryptography. This include groups (see Section 1.1), rings (see Section 1.2), and polynomials over rings (see Section 1.4). We also explore characters and Fourier transforms, basic tools for understanding structures based on groups and rings (see Section 1.3).
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تاریخ انتشار 2005