貌似你的第一步计算错误了，38mod16=5

非常感谢您的指正，确实是我计算错误了。正确的计算结果为：

X_{1} = (5 * 7 + 3) mod 16 = 8

X_{2} = (5 * 8 + 3) mod 16 = 11

X_{3} = (5 * 11 + 3) mod 16 = 12

X_{4} = (5 * 12 + 3) mod 16 = 7

X_{5} = (5 * 7 + 3) mod 16 = 8

X_{6} = (5 * 8 + 3) mod 16 = 11

X_{7} = (5 * 11 + 3) mod 16 = 12

以此类推，依次计算出 X_{i} 的值。同时，R_{i} 的计算结果为 X_{i}/m，即：

R_{1} = 8/16 = 0.5

R_{2} = 11/16 = 0.6875

R_{3} = 12/16 = 0.75

R_{4} = 7/16 = 0.4375

R_{5} = 8/16 = 0.5

R_{6} = 11/16 = 0.6875

R_{7} = 12/16 = 0.75

谢谢您的指正，我会更加认真地回答问题。