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- W2962973303 abstract "The concept of $t$-$(v,k)$ trades of block designs previously has been studied in detail. See for example A. S. Hedayat (1990) and Billington (2003). Also Latin trades have been studied in detail under various names, see A. D. Keedwell (2004) for a survey. Recently Khanban, Mahdian and Mahmoodian have extended the concept of Latin trades and introduced $Ts{t}{v}{k}$. Here we study the spectrum of possible volumes of these trades, $S(t,k)$. Firstly, similarly to trades of block designs we consider $(t+2)$ numbers $s_i=2^{t+1}-2^{(t+1)-i}$, $0leq ileq t+1$, as critical points and then we show that $s_iin S(t,k)$, for any $0leq ileq t+1$, and if $sin (s_i,s_{i+1}),0leq ileq t$, then $snotin S(t,t+1)$. As an example, we determine S(3,4) precisely." @default.
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- W2962973303 date "2013-01-01" @default.
- W2962973303 modified "2023-09-26" @default.
- W2962973303 title "Possible volumes of t-(v, t+1) Latin trades." @default.
- W2962973303 hasPublicationYear "2013" @default.
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