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How Do Merged Mining and Auxiliary Proof-of-Work (AuxPoW) Help Secure Smaller Coins?

Merged mining allows a miner to mine two different cryptocurrencies simultaneously using the same hashrate, provided the coins share the same mining algorithm. AuxPoW is the technical implementation that enables this.

The smaller coin (AuxPoW chain) piggybacks on the security of the larger coin (parent chain). This dramatically increases the hashrate securing the smaller coin at minimal extra cost to the miners, making a 51 percent attack against the smaller coin significantly more expensive and less likely.

Litecoin and Dogecoin use this mechanism.

What Security Measures Can Smaller PoW Coins Implement to Mitigate the Risk of a 51% Attack?
Why Are Smaller PoW Cryptocurrencies More Vulnerable to a 51 Percent Attack?
How Does a 51 Percent Attack Leverage Control over the Hashing Power?
What Is the Relationship between Network Security and Hashrate Decentralization?