A Vigenere cipher with a key of length l is used to encrypt a plain text. The statistics for the cipher text are given in the table below. Use the statistics to answer the following questions.

1. What is the length of the key?

2. What is the key?

3. What is the plaintext that generates the "QEAWTHVTRQMLGJXQE" cipher text?

Table 1 Cipher statistics A B G H arac 0,027 0018 000800 20.0520.021 0013 0110 0032 0019 0055 0,056 0,009 artin 0.028 0.052 0018 0,012 0.069 0,033 0.030 0.048 0.045 0.067 0.019 0.011 0.018 Characters 0.028 0.018 0.008 0.072 0.051 0.022 0.043 0.109 0.033 0.019 0.056 0.057 0.009 skipped 1 starting at 0027 0052 0011 0060 0033 0.029 0.047 0.045 0.067 0.019 0.010 0.01 character 0 key length 2 G H Characters 0.027 0.018 0,008 0,071 0052 0.020 0.042 0.110 0.032 0.018 0.055 0.055 0.008 skipped 1 starting at 0,028 0053 0019 0,012 0.069 0033 0,030 0.048 0.046 0.067 0.019 0.011 0.018 character 1 H Characters 18 0.026 0.078 0.062 0.002 0,001 0,019 0,001 0.083 0.016 0.022 0.050 0.124 skipped 2 starting at 0.016 0.001 0.058 0.064 0.088 0.028 0.006 0.026 character 0 0.011 0.0 0.019 0.064 0.07 M Characters 0,079 0,016 0023 0.060 0.125 0.019 0.027 0.079 0.061 0.002 0.010 0.043 0.021 skipped 2 key length 3 tarting at 0.028 0.001 0.018 0.001 0062 0072 0.015 0.001 0.057 0.066 0.088 0.028 0.007 character 1 H Characters 0.001 0.019 0.001 0.083 0.015 0.022 0.050 0.126 0.017 0.027 0.078 0.062 0.002 skipped 2 starting at 0.010 0.043 0.021 0.061 0.076 0.016 0.001 0.057 0.064 0.08 0.028 0.007 0.026 character 2 Characters 0.027 0.019 0.008 0.073 0.051 0.022 0.044 0.108 0.032 0.018 0.056 0.058 0.008 skipped 3 starting at character 0 0.026 0.0 0.019 0.041 0.069 0.032 0.030 0.048 0.041 0.067 0.020 0,01 0.017 H Characters 0.027 0.018 0.008 0.071 0.052 0.020 0.042 0.112 0.032 0.018 0.053 0.055 0.009 skipped 3 N O P Q R S T U V starting at character 1 0.029 0.053 0.018 0.042 0.069 0.033 0.030 0.048 0.047 0.067 0.018 0.011 0.018 key length 4 Characters 0.028 0.018 0.009 0.072 0.052 0.021 0.043 0. 110 0.033 0.020 0.056 0.055 0.009 skipped 3 W X Y starting at character 2 1 0.069 0.033 0.029 0.047 0.045 0.067 0.019 0.010 0.017 0.028 0.052 0.018 0.04 Characters 0.027 0.018 0.008 0.071 0.052 0.020 0.042 0.109 0.031 0.019 0.056 0.055 0.008 skipped 3 starting at character 3 0.027 0.053 0.019 0,043 0.070 0.033 0.030 0.048 0.044 0.068 0.020 0.011 0.018