Hermitian forms, trace equations and application to codes

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.

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Field	Value
Source	https://univ-antilles.hal.science/hal-00767443
Author	Mercier, Dany-Jack
Maintainer	CCSD
Last Updated	May 30, 2026, 01:04 (UTC)
Created	May 30, 2026, 01:04 (UTC)
Identifier	hal-00767443
Language	en
contributor	Institut universitaire de formation des maîtres - Guadeloupe (IUFM Guadeloupe) ; Université des Antilles et de la Guyane (UAG)
creator	Mercier, Dany-Jack
date	2003-04-21T00:00:00
harvest_object_id	fd1db584-4654-4d10-8f20-9bcbbb4e474c
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2024-04-22T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/math/0111191
set_spec	type:UNDEFINED