diff --git a/Cargo.toml b/Cargo.toml
index 1e78c1b7..e091f86c 100644
--- a/Cargo.toml
+++ b/Cargo.toml
@@ -3,7 +3,7 @@ name = "qfall-math"
 version = "0.1.0"
 edition = "2024"
 rust-version = "1.85" # due to rand and rand_distr dependency
-description = "Prototyping Library for Lattice-Based Cryptography"
+description = "Mathematical foundations for rapid prototyping of lattice-based cryptography"
 readme = "README.md"
 homepage = "https://qfall.github.io"
 repository = "https://github.com/qfall/math"
diff --git a/README.md b/README.md
index b6d71948..2507f421 100644
--- a/README.md
+++ b/README.md
@@ -6,7 +6,7 @@
 [<img alt="build" src="https://img.shields.io/github/actions/workflow/status/qfall/math/push.yml?branch=main&style=for-the-badge" height="20">](https://github.com/qfall/math/actions/workflows/push.yml)
 [<img alt="license" src="https://img.shields.io/badge/License-MPL_2.0-blue.svg?style=for-the-badge" height="20">](https://github.com/qfall/math/blob/dev/LICENSE)
 
-`qFALL` is a prototyping library for lattice-based constructions.
+`qFALL` is a prototyping library for lattice-based cryptography.
 This `math`-crate is a memory-safe wrapper of [FLINT](https://flintlib.org/) in Rust, which provides several additional features often used in lattice-based cryptography. This crate is the foundation of the [qFALL project](https://qfall.github.io) containing further crates for prototyping of lattice-based cryptography.
 
 ## Quick-Start
@@ -21,7 +21,7 @@ Then, add you can add this crate to your project by executing the following comm
 ```bash
 cargo add qfall-math
 ```
-- Find further information on [our website](https://qfall.github.io/). Also check out [`qfall-tools`](https://github.com/qfall/tools) and [`qfall-schemes`](https://github.com/qfall/schemes).
+- Find further information on [our website](https://qfall.github.io/). Also check out [`qfall-tools`](https://crates.io/crates/qfall-tools) and [`qfall-schemes`](https://crates.io/crates/qfall-schemes).
 - Read the [documentation of this crate](https://docs.rs/qfall-math).
 - We recommend [our tutorial](https://qfall.github.io/book) to start working with qFALL.
 
@@ -95,10 +95,10 @@ TODO: Update to eprint
 ```
 
 ## Dependencies
-This project uses the C-based, optimized math-library [FLINT](https://flintlib.org/). We tested our use of FLINT extensively to ensure that you can not introduce memory-leaks by using our library.
-If you need a function supported by FLINT that is not supported by this crate, we have created an `unsafe` passthrough to access and operate on FLINT's structs directly.
+This project uses the C-based, optimised math-library [FLINT](https://flintlib.org/). We tested our use of FLINT extensively to ensure that you can not introduce memory-leaks by using our crate.
+If you need a function supported by FLINT that is not supported by this crate, this crate offers an `unsafe` passthrough to access and operate on FLINT's structs directly.
 
-Furthermore, we utilized [serde](https://crates.io/crates/serde) and [serde_json](https://crates.io/crates/serde_json) to (de-)serialize objects to and from JSON. Last, but not least, our sampling algorithms use the [rand](https://crates.io/crates/rand)-crate to generate uniformly random bits. An extensive list can be found in our `Cargo.toml` file.
+Furthermore, we utilise [serde](https://crates.io/crates/serde) and [serde_json](https://crates.io/crates/serde_json) to (de-)serialize objects to and from JSON. This crate relies on [criterion](https://crates.io/crates/criterion) for benchmarking purposes. Last, but not least, our sampling algorithms use the [rand](https://crates.io/crates/rand)-crate to generate uniformly random bits. An extensive list can be found in our `Cargo.toml` file.
 
 ## License
 
diff --git a/src/lib.rs b/src/lib.rs
index 167f837b..f6088502 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -1,4 +1,4 @@
-// Copyright © 2023 Marcel Luca Schmidt
+// Copyright © 2023 Marcel Luca Schmidt, Niklas Siemer
 //
 // This file is part of qFALL-math.
 //
@@ -15,11 +15,10 @@
 //! - Rationals such as [Q](rational::Q), [`MatQ`](rational::MatQ), [`PolyOverQ`](rational::PolyOverQ).
 //!
 //! The `qFALL` project contains two more crates called [`qFALL-tools`](https://crates.io/crates/qfall-tools)
-//! and [`qFALL-schemes`](https://github.com/qfall/schemes) to support prototyping.
+//! and [`qFALL-schemes`](https://crates.io/crates/qfall-schemes) to support prototyping.
 //! - Find further information on [our website](https://qfall.github.io/).
 //! - We recommend [our tutorial](https://qfall.github.io/book) to start working with qFALL.
 //!
-//!
 //! ## Quick Example
 //! ```
 //! use qfall_math::{integer_mod_q::MatZq, integer::MatZ};