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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>2018-01-15T18:37:15Z</responseDate> <request identifier=oai:HAL:hal-00771897v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00771897v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:COMM</setSpec> <setSpec>subject:math</setSpec> <setSpec>subject:info</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:INSMI</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>Homogeneous polynomials on a finite field vanishing on the all space</title> <creator>Mercier, Dany-Jack</creator> <creator>Rolland, R.</creator> <contributor>Institut universitaire de formation des maîtres - Guadeloupe (IUFM Guadeloupe) ; Université des Antilles et de la Guyane (UAG)</contributor> <description>International audience</description> <source>Actes du Colloque "Caribbean Mathematical Colloquium"</source> <source>Caribbean Mathematical Colloquium</source> <coverage>Pointe-à-Pitre, Guadeloupe</coverage> <identifier>hal-00771897</identifier> <identifier>https://hal.univ-antilles.fr/hal-00771897</identifier> <source>https://hal.univ-antilles.fr/hal-00771897</source> <source>Caribbean Mathematical Colloquium, 1996, Pointe-à-Pitre, Guadeloupe. 1996</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/conferenceObject</type> <type>Conference papers</type> <description lang=en>Here is a description of an ideal that plays an important part in the construction of projective Reed-Muller codes. The use of Eagon-Northcott complex which is a generalisation of the Koszul complex gives us a method to compute dimensions of projective Reed-Muller codes. Moreover a calculus of dimensions gives us a combinatoric identity. This communication is issued from a paper admitted in the Journal of Pure and Applied Algebra and we have adjoined a straightforward and subtle proof of the combinatoric identity given by Michel Quercia.</description> <date>1996</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>