سال انتشار: ۱۳۸۶

محل انتشار: سی و هشتمین کنفرانس ریاضی ایران

تعداد صفحات: ۳

نویسنده(ها):

E.S MAHMOUDIAN – Institute for Studies in Theoretical Physics and Mathematics (IPM) and Sharif University of Thechnology. Tehtan. Iran
M.S NAJAFIAN – IPM, SUT, And Zanjan University, Iran

چکیده:

The concept of t-(u,k) trade of block designs previously has been studied in detail. See for example (2). Also latin trades has been studied in detail under different names, see (4) for a survey. Khanban, mahdian and mahmoodian (3) extended the concept of latin trades and intriduced t-(v,k) latin trades, S(t,k). First, we define (t+1) numbers si=2t+1-2t-i, 0≤i≤t-1, then s∉ S(t,k). Also, we show that if s<s0 =2t then S ∉(t,k). Moreover, we show that for any s≥(۲t-1)2t, s∈S(t,k). At the end of this talk we determine S(3,k) precisely.