Separate license notice for two functions from the Go standard library

Hi all!

We’re developing permissively licensed, zero third-party dependency
libraries in Go implementing a bunch of protocols, formats etc. used
in audio video livestreaming:

There’s a file, crc32.go that creates a CRC32 table using code
copied from Go’s compress/bzip2 package. In our file, I’ve included
the copyright notice at the top of all the Go project’s source files,
like so:

// From Go's package compress/bzip2.
// Copyright 2011 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in

However I haven’t noted the use of this code elsewhere in our project
e.g. in the README. I’m wondering whether I should. Any tips?