Abstract

This is a survey of some results recently obtained on the distribution of the weights of some classical linear codes on the one hand, such as the dual of the Melas code, and the geometric BCH codes discovered by Goppa (subfield subcodes of Goppa codes) on the other hand. These results depend upon the properties of certain algebraic curves defined over a finite field, and the associated exponential sums, such as the Kloosterman sums.

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