Latin 
square(拉丁方) and near-Latin 
square designs are valuable row-and-column designs for crop research but the practical size range of such designs is severely limited. 
Semi-Latin square designs extend this range but not all 
semi-Latin squares are suitable for experimental designs. Trojan 
square designs are a special class of optimal 
semi-Latin squares that generalizes the class of Latin 
square designs. The construction of Trojan squares both for unstructured and for factorial treatment sets is discussed and the utility of Trojan 
square designs for practical crop research is demonstrated. The corpus of available designs is further extended by a discussion of incomplete Trojan 
square designs obtained by omitting one main row or one main column from a complete Trojan 
square design. Some advantages of Trojan 
square and incomplete Trojan 
square designs for crop research are discussed and some suggestions for further design research are made.
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