Projective Generalized Reed-Muller Codes over p-adic Numbers and Finite Rings

Kanat Abdukhalikov
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Kanat Abdukhalikov: Institute of Mathematics

A chapter in Finite Fields and Applications, 2001, pp 1-13 from Springer

Abstract: Abstract 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.

Keywords: Linear Code; Cyclic Code; Dual Code; Incidence Vector; Orthogonal Code (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56755-1_1

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DOI: 10.1007/978-3-642-56755-1_1

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