Permutation Cipher
In classical cryptography, a permutation cipher is a transposition cipher in which the key is a permutation.
To apply a cipher, a random permutation of size E is generated (the larger the value of E the more secure the cipher).
The plaintext is then broken into segments of size E and the letters within that segment are permuted according to
this key.
In theory, any transposition cipher can be viewed as a permutation cipher where E is equal to the
length of the plaintext; this is too cumbersome a generalisation to use in actual practice, however.
The idea behind a permutation cipher is to keep the plaintext characters unchanged,
butalter their positions by rearrangement using a permutation
This cipher is defined as: Let m be a positive integer, and K consist of all permutations of {1,...,m}
For a key (permutation) , define:
The encryption function
The decryption function
A small example, assuming m = 6, and the key is the permutation
:
The first row is the value of i,
and the second row is the corresponding value of (i)
The inverse permutation, is constructed by interchanging the two rows,
andrearranging the columns so that the first row is in increasing order, Therefore, is:
Total variation formula:
e = 2,718281828 , n - plaintext length
Plaintext: extense
| all 5040 cipher variations: |
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| | nexstee
| | nexsete
| | nexseet
| | nexeest
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| | nexeset
| | nexeste
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|
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|
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|
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| | nesxtee
| | nesxete
| | nesxeet
| | nesexte
| | nesexet
| | nesetxe
|
| nesetex
| | neseetx
| | neseext
| | nestexe
| | nesteex
| | nestxee
| | nestxee
| | nestexe
| | nesteex
| | neseetx
| | neseext
|
| nesetex
| | nesetxe
| | nesexte
| | nesexet
| | neexest
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|
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| | neesext
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| | neesxet
| | neesxte
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| | neestex
|
| neetesx
| | neetexs
| | neetsex
| | neetsxe
| | neetxse
| | neetxes
| | netexse
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| | netesex
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|
| neteexs
| | netxese
| | netxees
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|
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| | neetxse
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|
| neetsex
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|
| neestxe
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| | neesext
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| | neeetsx
| | neeetxs
| | nexetse
|
| nexetes
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| | nexeest
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| | nextese
| | nextees
| | nextsee
| | nextsee
| | nextese
| | nextees
|
| nexstee
| | nexstee
| | nexsete
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| | nexetes
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|
| nexeets
| | nesexte
| | nesexet
| | nesetxe
| | nesetex
| | neseetx
| | neseext
| | nesxete
| | nesxeet
| | nesxtee
| | nesxtee
|
| nesxete
| | nesxeet
| | nestxee
| | nestxee
| | nestexe
| | nesteex
| | nesteex
| | nestexe
| | nesexte
| | nesexet
| | nesetxe
|
| nesetex
| | neseetx
| | neseext
| | neeexst
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| | neeetsx
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| | neexest
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|
| neexset
| | neexste
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| | neesxet
| | neesxte
| | neesext
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| | neestex
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| | neetxse
|
| neetxes
| | neetsxe
| | neetsex
| | neetesx
| | neetexs
| | nsteexe
| | nsteeex
| | nstexee
| | nstexee
| | nsteexe
| | nsteeex
|
| nsteexe
| | nsteeex
| | nstexee
| | nstexee
| | nsteexe
| | nsteeex
| | nstxeee
| | nstxeee
| | nstxeee
| | nstxeee
| | nstxeee
|
| nstxeee
| | nsteexe
| | nsteeex
| | nstexee
| | nstexee
| | nsteexe
| | nsteeex
| | nsetexe
| | nseteex
| | nsetxee
| | nsetxee
|
| nsetexe
| | nseteex
| | nseetxe
| | nseetex
| | nseexte
| | nseexet
| | nseeext
| | nseeetx
| | nsexete
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| | nsextee
|
| nsextee
| | nsexete
| | nsexeet
| | nseeext
| | nseeetx
| | nseexet
| | nseexte
| | nseetxe
| | nseetex
| | nseetxe
| | nseetex
|
| nseexte
| | nseexet
| | nseeext
| | nseeetx
| | nsetexe
| | nseteex
| | nsetxee
| | nsetxee
| | nsetexe
| | nseteex
| | nsextee
|
| nsextee
| | nsexete
| | nsexeet
| | nsexeet
| | nsexete
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| | nseetex
| | nseexte
| | nseexet
| | nseeext
| | nseeetx
|
| nsxeete
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| | nsxetee
| | nsxeete
|
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| | nsxteee
| | nsxteee
| | nsxteee
| | nsxteee
| | nsxteee
| | nsxteee
| | nsxeete
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| | nsxetee
| | nsxetee
|
| nsxeete
| | nsxeeet
| | nseeext
| | nseeetx
| | nseexet
| | nseexte
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| | nseetex
| | nseeext
| | nseeetx
| | nseexet
|
| nseexte
| | nseetxe
| | nseetex
| | nsexeet
| | nsexete
| | nsexeet
| | nsexete
| | nsextee
| | nsextee
| | nsetexe
| | nseteex
|
| nsetxee
| | nsetxee
| | nsetexe
| | nseteex
| | neteesx
| | neteexs
| | netesex
| | netesxe
| | netexse
| | netexes
| | neteesx
|
| neteexs
| | netesex
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| | netseex
| | netsexe
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| | netsxee
|
| netxese
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| | netxsee
| | netxese
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| | neetesx
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|
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| | neeesxt
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|
| neesxte
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| | neexest
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| | neeetxs
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|
| neeesxt
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| | neetesx
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| | neetsex
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| | neestex
| | neestxe
|
| neesetx
| | neesext
| | neesxet
| | neesxte
| | neextse
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| | neexste
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| | neseetx
|
| neseext
| | nesetex
| | nesetxe
| | nesexte
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| | neseetx
| | neseext
| | nesetex
| | nesetxe
| | nesexte
| | nesexet
|
| nesteex
| | nestexe
| | nesteex
| | nestexe
| | nestxee
| | nestxee
| | nesxete
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| | nesxtee
| | nesxtee
| | nesxete
|
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|
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| | nexstee
| | nextese
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|
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| | sxtenee
| | sxtenee
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| | sxtneee
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|
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| | sxtneee
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|
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| | sxteene
| | sxetnee
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|
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|
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|
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|
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|
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|
| sxetnee
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|
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|
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|
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| | stxeene
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| | stxeene
| | stxneee
| | stxneee
| | stxneee
|
| stxneee
| | stxneee
| | stxneee
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|
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| | stenxee
|
| stenxee
| | stenexe
| | steneex
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|
| steenex
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| | stneeex
|
| stneexe
| | stnxeee
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| | stnexee
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| | stneexe
| | stneeex
|
| stneeex
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| | stnexee
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| | steexne
|
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| | steeenx
| | stenexe
| | steneex
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| | steneex
| | stexnee
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|
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| | steenex
|
| steenxe
| | steeenx
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| | steneex
| | stenexe
| | steneex
| | stenexe
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| | stenxee
|
| steenex
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| | steeenx
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| | steexen
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|
| stexene
| | setxnee
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| | setxene
| | setnxee
| | setnxee
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| | setneex
|
| setneex
| | setnexe
| | setenxe
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| | setexne
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|
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| | sextnee
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| | sexteen
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| | sexntee
|
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|
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| | senxeet
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|
| sentxee
| | sentxee
| | sentexe
| | senteex
| | senteex
| | sentexe
| | senetxe
| | senetex
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| | seneext
|
| seneetx
| | senetex
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| | seneext
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| | seexnet
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|
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| | seentex
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|
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|
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|
| seeentx
| | seeexnt
| | seeextn
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| | seetnex
| | seetnxe
| | seetenx
| | seetexn
| | seetxen
| | seetxne
|
| sntexee
| | sntexee
| | snteexe
| | snteeex
| | snteeex
| | snteexe
| | sntxeee
| | sntxeee
| | sntxeee
| | sntxeee
| | sntxeee
|
| sntxeee
| | sntexee
| | sntexee
| | snteexe
| | snteeex
| | snteeex
| | snteexe
| | sntexee
| | sntexee
| | snteexe
| | snteeex
|
| snteeex
| | snteexe
| | snetxee
| | snetxee
| | snetexe
| | sneteex
| | sneteex
| | snetexe
| | snextee
| | snextee
| | snexete
|
| snexeet
| | snexeet
| | snexete
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| | sneeext
| | sneexet
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|
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| | snxetee
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| | snxeeet
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|
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| | snxteee
| | snxteee
| | snxteee
| | snxteee
| | snxetee
| | snxetee
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|
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|
| sneeext
| | snexete
| | snexeet
| | snextee
| | snextee
| | snexete
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| | snetxee
| | snetxee
| | snetexe
| | sneteex
|
| sneteex
| | snetexe
| | sneexte
| | sneexet
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| | sneetex
| | sneeetx
| | sneeext
| | sneexet
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|
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| | sneetex
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| | snexete
| | snexeet
| | snexete
| | snextee
| | snextee
| | sneexet
| | sneexte
|
| sneeext
| | sneeetx
| | sneetex
| | sneetxe
| | snetxee
| | snetxee
| | snetexe
| | sneteex
| | sneteex
| | snetexe
| | setenxe
|
| setenex
| | setexne
| | setexen
| | seteexn
| | seteenx
| | setnexe
| | setneex
| | setnxee
| | setnxee
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|
| setxnee
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| | setxene
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| | setenex
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| | seteexn
|
| seteenx
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| | seetnex
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| | seetenx
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| | seenxte
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|
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| | seexnte
| | seexnet
| | seextne
| | seexten
| | seexetn
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| | seeenxt
| | seeentx
| | seeexnt
|
| seeextn
| | seeetxn
| | seeetnx
| | senetxe
| | senetex
| | senexte
| | senexet
| | seneext
| | seneetx
| | sentexe
| | senteex
|
| sentxee
| | sentxee
| | sentexe
| | senteex
| | senxtee
| | senxtee
| | senxete
| | senxeet
| | senxeet
| | senxete
| | senetxe
|
| senetex
| | senexte
| | senexet
| | seneext
| | seneetx
| | sexente
| | sexenet
| | sexetne
| | sexeten
| | sexeetn
| | sexeent
|
| sexnete
| | sexneet
| | sexntee
| | sexntee
| | sexnete
| | sexneet
| | sextnee
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| | sexteen
|
| sextene
| | sexente
| | sexenet
| | sexetne
| | sexeten
| | sexeetn
| | sexeent
| | seeenxt
| | seeentx
| | seeexnt
| | seeextn
|
| seeetxn
| | seeetnx
| | seenext
| | seenetx
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| | seentex
| | seexnet
| | seexnte
| | seexent
|
| seexetn
| | seexten
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| | seetnxe
| | seetnex
| | seetxne
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| | seetenx
| | setenex
| | setenxe
|
| seteenx
| | seteexn
| | setexen
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| | setneex
| | setnexe
| | setneex
| | setnexe
| | setnxee
| | setnxee
| | setenex
|
| setenxe
| | seteenx
| | seteexn
| | setexen
| | setexne
| | setxnee
| | setxnee
| | setxene
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| | setxeen
| | setxene
|
| seetnex
| | seetnxe
| | seetenx
| | seetexn
| | seetxen
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| | seentex
| | seentxe
| | seenetx
| | seenext
| | seenxet
|
| seenxte
| | seeentx
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