[PUZZLE] Decryption - [Solution posted]

Solution

as i wrote earlier maiki is the keyword. The first step is to find the different index j for the keyword.

• compare each letter of the keyword with the standard alphabet and you get j depending on the position of the letters.
• a=0, b=1, c=2, d=3,..., z=25
• maiki ---> j=12,0,8,10,8
• first j takes affect on first letter of encrypted text, second on second,..., last on last one

The inverse operation of encrypting leads to ρ^(-j)P^(-1).
This only takes affect on the encrypted text.

Take each letter one by one and do the following steps:
ρ^(-j) : At first you have to shift left the letter in the alphabet by j steps.
P^(-1) : Find the result after shifting in the second line of the permutation P and get the letter above that line.

encryted text:---J--B--Z--Z---W
j:------------------12-0--8--10--8
ρ^(-j):-------------X--B--R--P---O
ρ^(-j)P^(-1):-----x--m--j----r---q
(XXxxx):----------X--M--j----r---q <<<--- giveaway code ;)

Its that simple ;) just kidding.

Thanks for participating and good luck next time ;)

edit2: the inverse operation of encrypting is (X(j))^-1=ρ^(-j)P^(-1)

ρ^j = shift right

ρ^-j = shift left

compare the keyword to the alphabet and you will find the different j.

dont forget: a=0.

edit: okay,since noone seems to be able to solve my puzzle here are some more hints:

To encrypt the giveaway code i used the formula stated in the original text X(j)=Pρ^j.

ρ is the indicator for a shift operation.
j is the index of the letter in the alphabet --> keyword???.

Decrypting is the inverse (X(j)^(-1)) operation of encrypting!!!

a=0

This should make it way easier...

Okay guys,

this is my first attempt on creating a puzzle for the community so i hope its not too easy nor too hard.

For now its for a small game worth 10 points (ends in one week). Because of that I made it way easier than it was meant to be when I first thought about using this as a puzzle.

Here we go:

HINTS

For the following puzzle

• ρ be the circle of the standard alphabet: (abcdefghijklmnopqrstuvwxyz).

• P be the permutation
  a|b|c|d|e|f|g|h|i|j|k|l|m|n|o|p|q|r|s|t|u|v|w|x|y|z
  A|L|G|E|M|I|N|C|H|R|T|K|B|D|F|J|O|P|Q|S|U|V|W|X|Y|Z

• X(j)=Pρ^j (used for encrypting)

• keyword: maiki (used for encrypting the giveaway code)

• encrypted text : JBZZW

If you've solved the puzzle you already have the giveaway code in the form of (XXxxx) X=capital x=lower case

Now its your turn ;)

Have fun solving this puzzle. I'll create more of that kind in the future if this turns out to run well ;)