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On Integral Zeros of Krawtchouk Polynomials

โœ Scribed by Ilia Krasikov; Simon Litsyn

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
928 KB
Volume
74
Category
Article
ISSN
0097-3165

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โœฆ Synopsis

We derive new conditions for the nonexistence of integral zeros of binary Krawtchouk polynomials. Upper bounds for the number of integral roots of Krawtchouk polynomials are presented.

1996 Academic Press, Inc. n is fixed, and when it does not lead to confusion it is omitted. The question of the existence of integral zeros of Krawtchouk polynomials (or, what is essentially the same, the existence of zero coefficients in the expansion of (1&z) x (1+z) n&x ) arises in many problems from combinatorics or coding theory. Let us state some of them.

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