Projective generalized Reed-Muller codes over p-adic numbers and finite rings

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We consider codes generated over the ring ℤ_p of p-adic integer numbers and the ring ℤ/p^d ℤ of integers modulo p^d by incidence vectors of the designs of points and projective subspaces of a projective space PG(m−1, F_p) , where F_p is a finite field of p elements. Codes invariant under the natural action of the projective group PGL_m(F_p) are described.
Original languageEnglish
Title of host publicationProceedings of The Fifth International Conference on Finite Fields and Applications Fq5, 1-13
EditorsDieter Jungnickel, Harald Niederreiter
PublisherSpringer, Berlin
ISBN (Print)978-3-642-62498-8
Publication statusPublished - 2001
EventFinite fields and applications - Augsburg
Duration: Aug 1 1999 → …


ConferenceFinite fields and applications
Period8/1/99 → …


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