 Aims
The course aims at giving the conceptual bases and methods allowing to build and analyze finite fields and various combinatorial structures associated with them, such as finite projective planes, block designs ans error correcting codes.
Main themes
The course gives an introduction to certain domains of algebra, including the theory of error correcting codes, the basic notion from a theoretical viewpoint being the finite field structure.
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
Prerequisites: Elements of linear algebra (first cycle level).
Evaluation: oral examination including summary questions on overall course.
Support: F.J. MacWilliams, N.J.A. Sloane: The theory of error-correcting codes, North-Holland, 1983; H.J. Ryser: Combinatorial Mathematics, Carus Math. Monographs, MAA, 1963.
Other credits in programs
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INFO23
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Troisième année du programme conduisant au grade d'ingénieur civil informaticien
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(3 credits)
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MAP22
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Deuxième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(3 credits)
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MAP23
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Troisième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(3 credits)
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MATH22/G
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Deuxième licence en sciences mathématiques
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(3 credits)
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