Final answer:
HMAC is the hashing algorithm that relies heavily on matching the receiver's hash calculation in relation to the modified messages.
Step-by-step explanation:
The hashing algorithm that relies heavily on matching the receiver's hash calculation in relation to the modified messages is HMAC (Hash-based Message Authentication Code).
HMAC is a combination of a hash function (such as SHA-1 or MD5) and a secret key. It provides a way to verify the integrity and authenticity of the message by appending a hash value to it.
When the receiver receives the message, they can calculate the hash value using the same algorithm and key. If the calculated hash matches the one appended to the message, it means that the message has not been modified during transmission and comes from an authentic source.