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On the Generalized Weights of a Class of Trace Codes

✍ Scribed by J.-P. Cherdieu; D.-J. Mercier; T. Narayaninsamy

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 345 KB
Volume: 7
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.2000.0298

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✦ Synopsis

We build a class of codes using hermitian forms and the functional trace code. Then we give a general expression of the rth minimum distance of our code and compute general bounds for the weight hierarchy by using exponential sums. We also get the minimum distance and calculate the rth generalized Hamming weight d P in some special cases.

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