Title :
A direct proof of the weight retaining property of polynomials over a finite field
Author :
van Ravesteijn, R.L.A. ; de Vroedt, C.
Author_Institution :
De Meibloem, Wateringen
fDate :
7/1/1988 12:00:00 AM
Abstract :
A result of J.L. Massey et al. (see ibid., vol.IT-19, no.1, p.101-110, 1973) concerning weights of polynomials over GF(p r) is generalized from p=2 to general prime p . This generalization makes it possible to directly establish several theorems about polynomial weights in a way that no longer relies on results from coding theory
Keywords :
polynomials; finite field; polynomials; weight retaining property; Binary codes; Galois fields; Mathematics; Notice of Violation; Out of order; Polynomials;
Journal_Title :
Information Theory, IEEE Transactions on
