pylcg/README.md

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# PyLCG
> Linear Congruential Generator for IP Sharding
PyLCG is a Python implementation of a memory-efficient IP address sharding system using Linear Congruential Generators *(LCG)* for deterministic random number generation. This tool aids in distributed scanning & network reconnaissance by efficiently dividing IP ranges across multiple machines while being in a pseudo-random order.
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## Table of Contents
- [Overview](#overview)
- [How It Works](#how-it-works)
- [Understanding IP Addresses](#understanding-ip-addresses)
- [The Magic of Linear Congruential Generators](#the-magic-of-linear-congruential-generators)
- [Sharding: Dividing the Work](#sharding-dividing-the-work)
- [Memory-Efficient Processing](#memory-efficient-processing)
- [Real-World Applications](#real-world-applications)
- [Network Security Testing](#network-security-testing)
- [Cloud-Based Scanning](#cloud-based-scanning)
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## Overview
When performing network reconnaissance or scanning large IP ranges, it's often necessary to split the work across multiple machines. However, this presents several challenges:
1. You want to ensure each machine works on a different part of the network *(no overlap)*
2. You want to avoid scanning IPs in sequence *(which can trigger security alerts)*
3. You need a way to resume scans if a machine fails
4. You can't load millions of IPs into memory at once
PyLCG solves these challenges through clever mathematics & efficient algorithms.
___
## How It Works
### Understanding IP Addresses
First, let's understand how IP addresses work in our system:
- An IP address like `192.168.1.1` is really just a 32-bit number equal to `3232235777` or `0xC0A80101` in hexadecimal
- A CIDR range like `192.168.0.0/16` represents a continuous range of these numbers
- For example, `192.168.0.0/16` includes all IPs from `192.168.0.0` to `192.168.255.255` *(65,536 addresses)*
- The 32-bit number can be represented as `0xC0A80000` in hexadecimal & its from `3232235520` to `3232239103` in decimal
### The Magic of Linear Congruential Generators
At the heart of PyLCG is something called a Linear Congruential Generator *(LCG)*. Think of it as a mathematical recipe that generates a sequence of numbers that appear random but are actually predictable if you know the starting point *(seed)*.
Here's how it works:
1. Start with a number *(called the seed, which can be random)*
2. Multiply it by `1664525` & add `1013904223`
3. Take the remainder when divided by `2^32` *(the modulo operando)*
4. Repeat the process to continue the sequence
###### Mathematical notation:
```math
Next_Number = (1664525 * Current_Number + 1013904223) mod 2^32
```
###### Why these specific numbers?
The numbers `1664525` and `1013904223` are the multiplier and increment values used in a Linear Congruential Generator *(LCG)* for random number generation. This specific combination was featured in "Numerical Recipes in C" and became widely known through its use in glibc's rand() implementation.
### Sharding: Dividing the Work
PyLCG uses an interleaved sharding approach to ensure truly distributed scanning. Here's how it works:
1. **Interleaved Distribution**: Instead of dividing the IP range into sequential blocks, PyLCG distributes IPs across shards using an offset pattern:
- For 4 shards scanning a network:
- Shard 0 handles IPs at indices: 0, 4, 8, 12, ...
- Shard 1 handles IPs at indices: 1, 5, 9, 13, ...
- Shard 2 handles IPs at indices: 2, 6, 10, 14, ...
- Shard 3 handles IPs at indices: 3, 7, 11, 15, ...
2. **Randomization**: Within each shard, the LCG randomizes the order of IPs:
- Each index is fed through the LCG to generate a random value
- IPs are scanned in order of these random values
- The same seed ensures consistent ordering across runs
This approach ensures:
- Even distribution across the entire IP space
- No sequential scanning patterns that could trigger alerts
- Perfect distribution of work across shards
- Deterministic results that can be reproduced
### Memory-Efficient Processing
To handle large IP ranges without consuming too much memory, PyLCG uses several techniques:
1. **Chunked Processing**
Instead of loading all IPs at once, it processes them in chunks.
2. **Lazy Generation**
- IPs are generated only when needed using Python's async generators
- The system yields one IP at a time rather than creating huge lists
- This keeps memory usage constant regardless of IP range size
3. **Direct Calculation**
- The LCG can jump directly to any position in its sequence
- No need to generate all previous numbers
- Enables efficient random access to any part of the sequence
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## Roadmap
- [ ] Add support for IPv6
- [ ] Add support for custom LCG parameters like adding port numbers
- [ ] Add support for custom chunk sizes & auto-tuning based on available system resources
- [ ] Add support for resuming from a specific point in the sequence
- [ ] Add support for saving the state of the LCG to a file so you can resume later
- [ ] Add support for sharding line-based input files locally, from as s3 bucket, or from a URL by reading it in chunks.
- [ ] Update the unit tests to include benchmarks & better coverage for future efficiency improvements & validation.
___
###### Mirrors for this repository: [acid.vegas](https://git.acid.vegas/pylcg) • [SuperNETs](https://git.supernets.org/acidvegas/pylcg) • [GitHub](https://github.com/acidvegas/pylcg) • [GitLab](https://gitlab.com/acidvegas/pylcg) • [Codeberg](https://codeberg.org/acidvegas/pylcg)