研究將偶數分類為2的平方和非2平方為例，探討單循環賽制的排程問題，目標是求得最低影響值(carry-over effect)產出最佳賽程表。利用矩陣，伽羅瓦體(Galois field)等數學公式可迅速求解且能驗證是否為最佳解。研究產出的賽程規劃各隊出賽間隔的場次相同，可使彼此間相互的影響最小。結果顯示研究所採用的模式可以有效率的解決循環賽排程問題。

The purpose of this paper is to create the round-robin tournament schedules with minimum carry-over effects value. Diagonal symmetric matrix and Galois field are adopted to generate the optimal solutions for the schedules of N ( even numbers either power of 2 or not ) teams. The proposed schedules are reasonably fair to each team, since games are assigned to specific time with minimum carry-over effects value. Results imply that the approach achieves feasible solutions efficiently for the problem of round-robin tournament schedule.