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17 changes: 17 additions & 0 deletions X_0_Expanding_Bitcoin_Transactions_with_Schnorr.md
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# Chapter X: Expanding Bitcoin Transactions with Schnorr
The traditionally used ECDSA signatures in Bitcoin for authenticating transactions are standardized but have a number of downsides like non-linearity, signature malleability, to name a few.
These issues do not exist in the case of Schnorr signatures. Schnorr, being inherently non-malleable and linear, allows usage of various cryptographic tools in Bitcoin like MuSig, Adopter Signature and Cross-Input signature aggregation. This section aims to develop an understanding of Schnorr Signatures and their usage in Bitcoin transactions.
## Objectives for This Section
After working through this chapter, a developer will be able to:
* Understand the Math of Schnorr and it's advantages
* Sign, Add and Read a Schnorr Signature


Supporting objectives include the ability to:
* Use Schnorr with Taproot
* Understand the Use of Adapter Signatures
* Support MuSig with Schnorr
## Table of Contents

* [Section One: Understanding Schnorr Signatures]()
* [Section Two: Using Schnorr Signatures]()