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<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd> <responseDate>2018-01-15T18:37:42Z</responseDate> <request identifier=oai:HAL:hal-00767443v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00767443v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:UNDEFINED</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:INSMI</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>Hermitian forms, trace equations and application to codes</title> <creator>Mercier, Dany-Jack</creator> <contributor>Institut universitaire de formation des maîtres - Guadeloupe (IUFM Guadeloupe) ; Université des Antilles et de la Guyane (UAG)</contributor> <identifier>hal-00767443</identifier> <identifier>https://hal.univ-antilles.fr/hal-00767443</identifier> <source>https://hal.univ-antilles.fr/hal-00767443</source> <source>2003</source> <identifier>ARXIV : math/0111191</identifier> <relation>info:eu-repo/semantics/altIdentifier/arxiv/math/0111191</relation> <language>en</language> <subject>[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]</subject> <type>info:eu-repo/semantics/preprint</type> <type>Preprints, Working Papers, ...</type> <description lang=en>We provide a systematic study of sesquilinear hermitian forms and a new proof of the calculus of some exponential sums defined with quadratic hermitian forms. The computation of the number of solutions of equations such as Tr(f(x)+v.x)=0 or Tr(f(x))=a allows us to construct codes and to obtain their parameters.</description> <date>2003-04-21</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>