| 1 | The existence of balanced (v, {3,6}, 1) difference families显示文摘Optimal frequency-hopping sequences can be constructed from cyclic (v, K, 1)-PBDs. A (v, K, 1) difference family can be used to construct a (v, K, 1)-PBD. A lot of work has been done on the existence of (v, k, 1) difference families when K = {k} is a singleton. For K = {3, 4}, it is proved that for each prime power v ≡ 1 (mod 18) and v 19, there exists a balanced (v, K, 1) difference family. In this paper, it is proved that there exists a balanced (v, {3, 6}, 1) difference family for each prime power v ≡ 1 (mod 36) and v 37. An infinite class of optimal frequency-hopping sequence is then obtained. | WU DianHua CHENG MinQuan CHEN ZhiLin LUO HaiPeng | 2010 | Science China(Information Sciences)2010，53，8： | 2 |
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