9
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This puzzle is a reference to a game, Dead By Daylight. Though you don't need a knowledge about the game. Consequently, there is no "video-games" tag.

Story

The Entity wants to have the killers' names concealed to the survivors, so he is going to encrypt the killers' names!

Encryption

$$ \begin{array}{c|c} \text{Plaintext} & \text{Encrypted} \\ \hline \text{trapper} & \text{mayysvvsgpamdjpgjd} \\ \text{wraith} & \text{yimisrpidijrgiviar} \\ \text{hillbilly} & \text{tnehqbbwnqzkkewzht} \\ \text{nurse} & \text{witfhun kxzlerboqc} \\ \text{shape} & \text{vdvjmyvvvampvmvsmg} \\ \text{hag} & \text{pkpegzptpnghpbpwgq} \\ \text{doctor} & \text{uwlwcwuwlwcwuwlwcw} \\ \text{huntress} & \text{pogcpipfgup pxglpr} \\ \text{cannibal} & \text{bjkgkvbakykmbskpkd} \\ \text{nightmare} & \text{nzhzbhwzqzkhezzzth} \\ \text{pig} & \text{ehbwhtwztnzknqkeqb} \\ \text{clown} & \text{miafgud sxylvrjopc} \\ \text{spirit} & \text{jpyammaypjdvsggsvd} \\ \text{legion} & \text{h wobczrnftuqiexkl} \\ \text{plague} & \text{hbhehzhkhnhhhthwhq} \\ \text{ghost face}& \text{cu oxulrrfolciixf} \\ \text{demogorgon}& \text{ejeawjejeawjejeawj} \\ \text{oni} & \text{kyzaembgqjwvtphsnd} \\ \text{deathslinger}& \text{nkktqkekbthkwkttzk} \\ \end{array} $$

Objective

Explain how the Entity encrypted the names.

CSV Version

Plaintext   ,Encrypted
trapper     ,mayysvvsgpamdjpgjd
wraith      ,yimisrpidijrgiviar
hillbilly   ,tnehqbbwnqzkkewzht
nurse       ,witfhun kxzlerboqc
shape       ,vdvjmyvvvampvmvsmg
hag         ,pkpegzptpnghpbpwgq
doctor      ,uwlwcwuwlwcwuwlwcw
huntress    ,pogcpipfgup pxglpr
cannibal    ,bjkgkvbakykmbskpkd
nightmare   ,nzhzbhwzqzkhezzzth
pig         ,ehbwhtwztnzknqkeqb
clown       ,miafgud sxylvrjopc
spirit      ,jpyammaypjdvsggsvd
legion      ,h wobczrnftuqiexkl
plague      ,hbhehzhkhnhhhthwhq
ghost face  ,cu  oxulrrfolciixf
demogorgon  ,ejeawjejeawjejeawj
oni         ,kyzaembgqjwvtphsnd
deathslinger,nkktqkekbthkwkttzk

Note that the Ghost Face's encrypted name has two spaces.

Subtle Hint

The Entity encrypted them by his name. What does that mean?

Moderate Hint

I think the Entity's real name is Joseph F______.

Decisive Hint

$2^{18} ≡ 1 \pmod{27}$

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