Chapter 4: Analysis of a three wheels Hagelin Cipher Machine 

---- Solutions

General Remark: for each problem, the message key is LLKJIH. 
Then the Inner Key can be set easily.

1. Plain Text:

	BY THIS TIME ALLIED COMMANDERS HAD BECOME AWARE OF THE IMMINENT 
	INVASION  

   Inner Key:
	_B_DE_GH_J_L__O__R_T_
	__C_EF_HIJ__M___Q_S
	_____FG_IJKLM_O__
	8:3:1


2. Plain Text:

	NEW FACTORY PRODUCTION TANKS WEREBUILT WITH INCREASED ARMOUR 
	THICKNESS

   Inner Key:
	__C_EF___J__MNO_QR_TU__XY_ 
	____EF_H_JK__NOP_RS_U_XYZ 
	A__D_FGHI_____O____T__X 
	9:5:3


3. Plain Text:

	THE ENEMY SUFFERED HEAVY CASUALTIES WITHIN THE FIRST HOURS 
	OF THE INVASION

   Inner Key:
	__________________________
	_B_D_FGH_J_L__O_Q__T__XY_
	___DEFGH__K_MN___R_TUV_
	_____________________
	____E_G_IJKL_NO_Q_S
	_________________
	0:3:5:0:11:0, Two overlaps: 2-5, 3-5

4. Plain Text:

	THIS WAS TO BE THE FIRST TRULY LARGE DASH SCALE AIRBORNE 
	INVASION

   Inner Key:
	__________________________
	AB_DE_GHIJK_M_OPQ_ST__XYZ 
	A____F__IJKL_NO_QR__UV_ 
	___D__G_I__L_NO__RS_U 
	___________________
	_________________
	0:5:10:3:0:0 , Two overlaps: 2-3, 2-4

5. Plain Texts:

   No. 1 - WHEN THEY RECEIVED INTELLIGENCE THAT A MAJOR OFFENSIVE 
           WAS IMPENDING  
   No. 2 - THE GENERALS PLANNED TO WITHDRAW THEIR FORWARD DIVISIONS 
           INTOTHE PLAIN
   No. 3 - AND FORCE THE ENEMY TO FIGHT AT THE END OF IMPOSSIBLY
           LONG AND DIFFICULT LINES OF COMMUNICATION

   Inner Key:
	AB_DE_GHI_K__N_P_RST_ 
	_B_D_F___J___NO___S 
	A__DEFG___K___O__ 
	0:0:0:2:5:7, Two overlaps: 4-6, 5-6 

6. Plain Texts:

   No. 1 - THE ALLIES MADE SIGNIFICANT USEOF INTELLIGENCE FROM THE 
           DECIPHERED GERMAN ENIGMA CODE
   No. 2 - THE ALLIES MADE SIGNIFICANT USE OF INTELLIGENCE FROM THE 
           DECIPHERED GERMAN ENIGMA CODE

   Inner Key:
	__________________________
	_________________________
	AB___F_____LMN___R_TU_X 
	__C__FGH___L__OPQ_ST_ 
	____EFGHI____NO__R_ 
	_________________
	0:0:1:7:2:0  (no overlap)


7. Plain Texts:

   No.1 - THE TWO DIVISIONS SUPPLIED BY PARACHUTE DROPS FROM ALLIED 
          AIRCRAFT MADE THEIR WAY BACK TO THE PLAIN 
   No.2 - NEW FACTORY PRODUCTION TANKS WERE BUILT WITH INCREASED 
          ARMOUR THICKNESS   

   Inner Key:
	_BC_E____J___NOPQR_TU__X_Z 
	_________________________
	_______________________
	AB__EF_HIJK__NOPQ_S__ 
	_BC_____I__L_N___RS 
	_________________
	8:0:0:6:13:0 (no overlap)


8. Plain Text:

	THROUGHOUT THE REST OF AUGUST AN UNEASY CALM SETTLED UPON 
	THE DESERTzz

   Inner Key:
	__C_E_G__J__M_O__R__U 
	ABC__FG_I_____OP___ 
	ABCD___H_____NO_Q 
	0:0:0:11:2:6  (no overlap)


9. Plain Text:

	HOWEVER FEW OF THESE MEN HAD LEFT THE ISLAND BY THE TIME 
	THE BATTLE STARTED

   Message Key (wheel setting):
        No. 1: LLKJIH
        No. 2: ILQAHO 

   Inner Key:
	__________________________
	AB_DEF__I__L___P_R__UV_YZ 
	_______________________
	A_____G__J_L_N__Q____ 
	___________________
	A____FGHI_K___O_Q 
	0:3:0:11:0:2, Two overlaps:  2-4,  2-6


10. Plain Text:

	THEY FELT THE INVASION WAS DOOMED TO FAIL NOW THAT THEY 
	KNEW ABOUT IT 

    Message Key:
        No. 1: LLKJIH
        No. 2: AAAAAA

    Inner Key:
	A__DEF_HIJ__MNO_QR___ 
	A____FG__J__MN___RS 
	AB_DEF__IJ__M_O__ 
	0:0:0:3:1:7, no overlap