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ECE 842 - Topics in Applied Algebra

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842 Topics in Applied Algebra. (Crosslisted with Math 842.) Irr; For many years engineers and computer scientists have applied tools from analysis such as probability, differential equations, ... but lately algebraic tools have found increasing applicability. For example, the theory of curves over finite (Galois) fields yields the best public-key cryptosystems for low power applications, some of the best codes, and the best low-discrepancy sequences, providing deterministic alternatives to Monte Carlo simulations (and now finding financial applications in pricing derivatives). Space-time codebooks for multiple antennae applications use advanced ideas from group theory and algebraic number theory, object recognition uses invariants of Lie groups acting on varieties, and so forth. This course will give a systematic explanation of these tools with an emphasis on examples and applications. Prerequisite: Some familiarity with groups, rings, and fields.

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Date last modified: 18-Jul-2007
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