Codes on Euclidean Spheres (North-Holland Mathematical - download pdf or read online

By T. Ericson,V. Zinoviev

Codes on Euclidean spheres are frequently 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 idea, geometry, combinatorial idea, and - after all - to algebraic coding thought. The connections to physics take place inside components like crystallography and nuclear physics. In engineering round codes are of imperative significance in reference to error-control in verbal exchange platforms. In that context using round codes is usually often called "coded modulation."

The publication bargains a primary whole remedy of the mathematical idea of codes on Euclidean spheres. Many new effects are released right here for the 1st time. Engineering purposes are emphasised in the course of the textual content. the speculation is illustrated by way of many examples. The publication additionally comprises an in depth desk of top recognized round codes in dimensions 3-24, together with detailed constructions.

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Categories: Combinatorics