Free alphabetic string monoid on A-Z
<class 'sage.monoids.string_monoid.AlphabeticStringMonoid_with_category'>
Here is the cipher text:
DYHXPWCJKFKNXESXYCPDRKWCPWXSKNXIWKNJSXCXPJSXHEDRRCJDRRWXNXNGXWEDJSIKYMYXCCPYMWXCBXFJJSXKFXPYDYPRRDJCNKKMCJSXDNBKCCDGRXCSDNNXWDYVNDWWKWFPRNPYMJSXCJKWNJKCCXMVWXXYEPJXWCLWVDYVKAXWJSXGKEPYMJSXYJSXWXEDRRFKNXPVPDYPIPDYJESDIIKICJPFUVPCPIPDYJXFSKKIXYVDYXPYMWLMMXWKWMXWCPADCDKYKIJSXGWDVSJGLYJDYVKICDVYPRIRPVCCYPBBDYVPJJSXHPWMPWNPWXIWPDYKISXPWJHRPLVSJXWDYJSXEPWMWKKNPYMFSDXICTLPWJXWCPYMNXCCMXFUCVKYXPCSKWXIKWVKKMJSXHEDRRVWKEEDCJILRPGKLJJSXDWYPAHMPHCESXYJSXCXPCGXRKYVXMJKJSXNPYMPYXEBKWJKIFPRREPCXAXWKAXWJSXSKWDQKYWXNXNGXWDYVJSDCJSXHEDRRCJPYMJPRRXWPYMCPHDEPCPCPDRKWKYFXDEPCBPWJKIJSXYPAHPYMJSXYPAHEDRRPREPHCGXBPWJKINX
<class 'sage.monoids.string_monoid_element.StringMonoidElement'>
[[0.115894039735099, X], [0.0976821192052979, P], [0.0761589403973510, W], [0.0745033112582782, J], [0.0728476821192053, K], [0.0711920529801325, Y], [0.0695364238410596, C], [0.0645695364238411, D], [0.0546357615894040, S], [0.0463576158940398, R], [0.0364238410596027, M], [0.0331125827814570, N], [0.0314569536423841, I], [0.0314569536423841, E], [0.0298013245033113, V], [0.0198675496688742, H], [0.0182119205298013, F], [0.0149006622516556, G], [0.0115894039735099, L], [0.0115894039735099, B], [0.0115894039735099, A], [0.00331125827814570, U], [0.00165562913907285, T], [0.00165562913907285, Q]]
Here is the decrypted plaintext text:
INYEARSTOCOMEWHENSAILORSAREHOMEFROMTHESEATHEYWILLSTILLREMEMBERWITHFONDNESSANDRESPECTTHEOCEANINALLITSMOODSTHEIMPOSSIBLESHIMMERINGMIRRORCALMANDTHESTORMTOSSEDGREENWATERSURGINGOVERTHEBOWANDTHENTHEREWILLCOMEAGAINAFAINTWHIFFOFSTACKGASAFAINTECHOOFENGINEANDRUDDERORDERSAVISIONOFTHEBRIGHTBUNTINGOFSIGNALFLAGSSNAPPINGATTHEYARDARMAREFRAINOFHEARTYLAUGHTERINTHEWARDROOMANDCHIEFSQUARTERSANDMESSDECKSGONEASHOREFORGOODTHEYWILLGROWWISTFULABOUTTHEIRNAVYDAYSWHENTHESEASBELONGEDTOTHEMANDANEWPORTOFCALLWASEVEROVERTHEHORIZONREMEMBERINGTHISTHEYWILLSTANDTALLERANDSAYIWASASAILORONCEIWASPARTOFTHENAVYANDTHENAVYWILLALWAYSBEPARTOFME
Here are the letter frequencies for this particular piece of text:
[[0.115894039735099, E], [0.0976821192052979, A], [0.0761589403973510, R], [0.0745033112582782, T], [0.0728476821192053, O], [0.0711920529801325, N], [0.0695364238410596, S], [0.0645695364238411, I], [0.0546357615894040, H], [0.0463576158940398, L], [0.0364238410596027, D], [0.0331125827814570, M], [0.0314569536423841, W], [0.0314569536423841, F], [0.0298013245033113, G], [0.0198675496688742, Y], [0.0182119205298013, C], [0.0149006622516556, B], [0.0115894039735099, V], [0.0115894039735099, U], [0.0115894039735099, P], [0.00331125827814570, K], [0.00165562913907285, Z], [0.00165562913907285, Q]]
Shift cryptosystem on Free alphabetic string monoid on A-Z
THISISAVERYLONGSTRINGIFIHADTHEENERGYTOTYPEMOREANDMORE
UIJTJTBWFSZMPOHTUSJOHJGJIBEUIFFOFSHZUPUZQFNPSFBOENPSF
THISISAVERYLONGSTRINGIFIHADTHEENERGYTOTYPEMOREANDMORE
10
i = 1
i = 2
i = 3
i = 4
i = 5
14
1*1 = 1 mod 26
3*9 = 1 mod 26
5*21 = 1 mod 26
7*15 = 1 mod 26
9*3 = 1 mod 26
11*19 = 1 mod 26
15*7 = 1 mod 26
17*23 = 1 mod 26
19*11 = 1 mod 26
21*5 = 1 mod 26
23*17 = 1 mod 26
25*25 = 1 mod 26
Free alphabetic string monoid on A-Z
Substitution cryptosystem on Free alphabetic string monoid on A-Z
GLJJSXWXDCCKNXJSDYVJSPJDNLCJCPHJKNHBXKBZXESKCJPYMKYJSXEPWNJSWXCSKZMESDFSZXPMCDYJKJSXBPZPFXKIULCJDFXDYJSXBWKFXCCKIVPDYDYVKLWWDVSJILZBZPFXEXNLCJYKJGXVLDZJHKIEWKYVILZMXXMCZXJLCYKJCXXRJKCPJDCIHKLWJSDWCJIKWIWXXMKNGHMWDYRDYVIWKNJSXFLBKIGDJJXWYXCCPYMSPJWXMEXNLCJIKWXAXWFKYMLFJKLWCJWLVVZXKYJSXSDVSBZPYXKIMDVYDJHPYMMDCFDBZDYXEXNLCJYKJPZZKEKLWFWXPJDAXBWKJXCJJKMXVXYXWPJXDYJKBSHCDFPZADKZXYFXPVPDYPYMPVPDYEXNLCJWDCXJKJSXNPUXCJDFSXDVSJCKINXXJDYVBSHCDFPZIKWFXEDJSCKLZIKWFX
Discrete probability space defined by {V: 0.0349344978165939, X: 0.115720524017467, J: 0.104803493449782, L: 0.0414847161572052, N: 0.0262008733624454, Y: 0.0611353711790393, P: 0.0545851528384279, B: 0.0240174672489083, D: 0.0742358078602620, F: 0.0349344978165939, H: 0.0174672489082969, S: 0.0524017467248908, U: 0.00436681222707424, W: 0.0567685589519650, I: 0.0327510917030568, K: 0.0829694323144105, M: 0.0327510917030568, Z: 0.0393013100436681, A: 0.00655021834061135, C: 0.0676855895196506, E: 0.0218340611353712, G: 0.00873362445414847, R: 0.00436681222707424}
2
1
[1 1]
[2 3]
2
2
[3, 4]
'HAPPYDAYS'
32.0000000000000
22.0000000000000
3
7
59
223
1331
6007
31979
0.841692386831276
6.50000000000000