Download PDF by T. Ericson,V. Zinoviev: Codes on Euclidean Spheres (North-Holland Mathematical

By T. Ericson,V. Zinoviev

Codes on Euclidean spheres are usually known as round codes. they're of curiosity from mathematical, actual and engineering issues of view. Mathematically the subject belongs to the area of algebraic combinatorics, with shut connections to quantity concept, geometry, combinatorial idea, and - after all - to algebraic coding conception. The connections to physics ensue inside of components like crystallography and nuclear physics. In engineering round codes are of crucial significance in reference to error-control in conversation structures. In that context using round codes is usually often called "coded modulation."

The ebook deals a primary entire therapy of the mathematical thought of codes on Euclidean spheres. Many new effects are released the following for the 1st time. Engineering functions are emphasised in the course of the textual content. the idea is illustrated through many examples. The ebook additionally includes an in depth desk of most sensible recognized round codes in dimensions 3-24, together with special constructions.

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Codes on Euclidean Spheres (North-Holland Mathematical Library) by T. Ericson,V. Zinoviev

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