Oops! Let's try to catch up
@anarres: you don't need hex. The translation is a text, in English.
@stormbind: You don't logarithmic functions. There is a complex algorithm either. In fact,
I could read it quite quickly once a few manipulation have been done.
The translated text contains letters and the following characters " , .
It it case sensitive.
The keyboard place of the characters is very important when coding the text. But not when deciphering it. A character in the code has a unique translation.
varwnos : There is one number in the decoded text. What make you thik that I and A are necessarilly encoded by one character?
@masquerouge : yes, capitalized letters are important
@Sparta: the coding does not use 26 characters... In fact, you can 't solve it if you think in direct character substitution. As I said, it's more subtile thant that. There is a substitution. But not character for character.
@Truronian: space are encoded as space.
2^x#5 This one seems to maybe be the subject of the passage
Indeed.
The caps symbol and repeating word aren't diversions
@Gelion: the decoded text is plain English. However, it contains some words which are proper names, and that you may not know. Spaces represent spaces. It's a 1:1 substituion. Except you should not substitude character to character...
@Masquerouge: hard to answer. Two word which are related when coded are related when decoded... Because they have roughly the same length and some common part. But that should not help much
@stormbind : it's a bit more than a different character set. Your remark about an extended alphabet is a good one. It is not reallyu made specificaly for this puzzle. It's something "well" known, but adapted to this puzzle (or I would say adapted for my own usage, and I use it for the puzzle).
@Masquerouge: the fact you have letters or symbols is not very relevent for the problem to solve. In fact, not relevent at all.
@Sparta
I agree - I'm confused as to how the number of single-character words can be so high (unless they are to be numerals??).
Perhaps because single-character words in the cipher do not necessarilly correspond to single-character words in the plain text? And vice versa
@Sparta and Masquerouge : I don't think trying to find what character are in or not will help you much
@Mathilda: the keyboard has an importance. In fact, when composing the message, I used an English configuration keyboard.
However, you don't need to know the actual keyboard configuration to decipher the message, only to write it relatively quickly.
@RoddyVR: the carriage return just mark an end of paragraph
@nonconformist : it's not mathematical
I'll give another free hint. The software that can be normally found on any computer is used to transform all these letters into something else very quickly once you know how. Then, the result should be easier to decipher, or at least give some hints.