이윤진
2016-08-28T10:08:31Z
2016-08-28T10:08:31Z
2013
1015-8634
OAK-10459
http://dspace.ewha.ac.kr/handle/2015.oak/224047
A Krawtchouk polynomial is introduced as the classical Mac- Williams identity, which can be expressed in weight-enumerator-free form of a linear code and its dual code over a Hamming scheme. In this paper we find a new explicit expression for the p-number and the q- number, which are more generalized notions of the Krawtchouk poly- nomial in the P-polynomial schemes by using an extended version of a discrete Green's function. As corollaries, we obtain a new expression of the Krawtchouk polynomial over the Hamming scheme and the Eber- lein polynomial over the Johnson scheme. Furthermore, we find another version of the MacWilliams identity over a Hamming scheme. © 2013 The Korean Mathematical Society.
English
Explicit expression of the krawtchouk polynomial via a discrete green's function
Article
3
50
SCIE
SCOPUS
KCI
509
527
Bulletin of the Korean Mathematical Society
10.4134/JKMS.2013.50.3.509
WOS:000324076900004
2-s2.0-84877012929
Kim G.C.
Lee Y.
이윤진(23100337700)
20170601133426