Absoluta

A cryptographic system implementing a variation of the one-time pad with an expanded character set and salt insertion mechanism.

Overview

Absoluta is a symmetric encryption system that achieves perfect secrecy through a combination of large ciphertext alphabet, random salt insertion, and XOR masking. The system provides billions to hundreds of trillions of possible combinations per source character, depending on the chosen cipher alphabet.

Core Algorithm

Key Components

• Seed: 32 hexadecimal characters (128 bits of entropy)
• Salt probability: 3-digit value (000-999) controlling salt insertion frequency
• Position weights: Three digits (0-3) determining salt placement probabilities
• Cipher alphabet: Unicode character set loaded from external file (supports multiple alphabets)

Encryption Process

For each source character:

1. Convert source character to its index in the source alphabet (0-94 for ASCII)
2. Generate random Y value from cipher alphabet
3. Determine salt presence based on probability parameter
4. If salt is present:
   • Select salt position using cyclic weight algorithm
   • Generate random salt value
   • Construct triplet [salt, X, Y] in determined order
5. If no salt:
   • Construct pair [X, Y]
6. Convert all indices to cipher alphabet symbols

Salt Position Selection

The system uses a cyclic selection algorithm with configurable weights:

• Weight 0: 0% chance
• Weight 1: 33% chance
• Weight 2: 66% chance
• Weight 3: 99% chance

Positions are checked cyclically (left -> middle -> right -> repeat) until selection occurs.

XOR Masking

After the main encryption, an XOR mask is applied:

1. Generate mask of same length as intermediate ciphertext using separate RNG seeded with key
2. XOR each ciphertext symbol index with corresponding mask value
3. Convert resulting indices back to cipher alphabet symbols

This ensures avalanche effect: changing one bit in the seed completely alters the final ciphertext.

Cipher Alphabets

The system supports multiple cipher alphabets stored in the alphabets\ folder:

• alphabet1635.txt: 1,635 unique Unicode characters
• alphabet5483.txt: 5,483 unique Unicode characters
• alphabet40326.txt: 40,326 unique Unicode characters

The program automatically:

• Scans the alphabets\ folder for all .txt files
• Counts the real number of characters in each file
• Displays the actual size in the interface
• Loads the selected alphabet on demand

Security Properties

Combinatorial Complexity

The table below shows the number of possible combinations for different plaintext lengths with each alphabet.

Alphabet	Real Size	1 Char	10 Chars	100 Chars	1000 Chars
alphabet1635.txt	1,635	~4.37×10⁹	~10⁹⁶	~10⁹⁶⁰	~10⁹⁶⁰⁰
alphabet5483.txt	5,483	~4.95×10¹¹	~10¹¹⁷	~10¹¹⁷⁰	~10¹¹⁷⁰⁰
alphabet40326.txt	40,326	~1.97×10¹⁴	~10¹⁴²	~10¹⁴²⁰	~10¹⁴²⁰⁰

Key Space

• Seed: 2¹²⁸ possible values
• Salt probability: 1000 variations
• Position weights: 64 variations
• Total keys: approximately 2¹⁴⁴ ≈ 2.2×10⁴³

Cryptographic Strength

• Full avalanche effect through XOR masking
• Resistance to frequency analysis due to multiple representations per character
• No deterministic relationship between plaintext and ciphertext
• Mathematical perfect secrecy when key is truly random and used once
• Larger alphabets exponentially increase security

System Requirements

• Python 3.8 and higher interpreter
• At least one cipher alphabet file in alphabets\ directory
• Basically, all you need to do to run the program is place the alphabets\ folder and absoluta.py file in the same directory

Usage

1. Execute absoluta.py with any Python 3.8 and higher interpreter
2. Select source alphabet (ASCII, Russian, or Mathematical)
3. Enter text in the input field
4. Select a cipher alphabet from the dropdown (the program shows the real character count)
5. Configure key parameters:
   • Seed (32 hex characters, can be generated automatically)
   • Salt probability (000-999)
   • Position weights (0-3 for each position)
6. Select mode (Encrypt or Decrypt)
7. Click "Execute"
8. Results appear in the output field

The system validates all parameters before encryption or decryption and provides clear error messages for invalid inputs.

Adding Custom Alphabets

To add your own cipher alphabet:

1. Create a .txt file with your desired Unicode characters
2. Place it in the alphabets\ folder
3. The program will automatically detect it on next launch
4. The real character count will be displayed in the dropdown menu

The program supports any UTF-8 or UTF-8-BOM encoded text file with Unicode characters.