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I would like to know how does the kernel decide through which interface it sends data to some IPv6 address, how is the calculation done based on the routing table information: destination, gateway and netmask?

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  • In a router, the route selection works the same way for IPv6 as it does for IPv4.
    – Ron Maupin
    Dec 4, 2017 at 15:38

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That would be RFC 6724. From the abstract of that specification:

This document describes two algorithms, one for source address selection and one for destination address selection. The algorithms specify default behavior for all Internet Protocol version 6 (IPv6) implementations. They do not override choices made by applications or upper-layer protocols, nor do they preclude the development of more advanced mechanisms for address selection. The two algorithms share a common context, including an optional mechanism for allowing administrators to provide policy that can override the default behavior. In dual-stack implementations, the destination address selection algorithm can consider both IPv4 and IPv6 addresses -- depending on the available source addresses, the algorithm might prefer IPv6 addresses over IPv4 addresses, or vice versa.

It's quite a extensive algorithm, so I won't try to replicate its contents here. The link provided above is very stable and will not disappear :) Feel free to ask questions in the comments and I'll try to clarify the answer if something is not clear!

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