untitled
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<identifier>oai:HAL:hal-00771922v1</identifier>
<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>On the generalized weights of a class of trace codes</title>
<creator>Cherdieu, Jean-Pierre</creator>
<creator>Mercier, Dany-Jack</creator>
<creator>Narayaninsamy, T.</creator>
<contributor>Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Institut universitaire de formation des maîtres - Guadeloupe (IUFM Guadeloupe) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 1071-5797</source>
<source>EISSN: 1090-2465</source>
<source>Finite Fields and Their Applications</source>
<publisher>Elsevier</publisher>
<identifier>hal-00771922</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00771922</identifier>
<source>https://hal.univ-antilles.fr/hal-00771922</source>
<source>Finite Fields and Their Applications, Elsevier, 2001, 7, pp.355-371</source>
<language>en</language>
<subject>[MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT]</subject>
<subject>[INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We build a class of codes using hermitian forms and the functional trace code. Then we give a general expression of the r-th 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 r-th generalized Hamming weight dr in some special cases.</description>
<date>2001</date>
</dc>
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