A simple derivation of the MacWilliams identity for linear ordered codes and orthogonal arrays |
| |
Authors: | Horst Trinker |
| |
Institution: | 1.Department of Mathematics,University of Salzburg,Salzburg,Austria |
| |
Abstract: | In (Can J Math 51(2):326–346, 1999), Martin and Stinson provide a generalized MacWilliams identity for linear ordered orthogonal
arrays and linear ordered codes (introduced by Rosenbloom and Tsfasman (Prob Inform Transm 33(1):45–52, 1997) as “codes for
the m-metric”) using association schemes. We give an elementary proof of this generalized MacWilliams identity using group characters
and use it to derive an explicit formula for the dual type distribution of a linear ordered code or orthogonal array.
|
| |
Keywords: | Generalized MacWilliams identity Ordered codes and orthogonal arrays Generalized Krawtchouk polynomials Linear programming bound for (t m s)-nets |
本文献已被 SpringerLink 等数据库收录! |