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Here in Wikipedia is written: "The automorphism group of the binary Golay code is the Mathieu group M23."

What is "automorphism group of code" ?

PS

Are there other nice examples of relation between simple groups and codes ? E.g. if we take the most simple codes - Hamming codes what are their automorphism groups ?

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What is "automorphism group of an error-correcting code" ?

Here is written: "The automorphism group of the binary Golay code is the Mathieu group M23."

What is "automorphism group of code" ?

PS

Are there other nice examples of relation between simple groups and codes ? E.g. we take the most simple codes - Hamming codes what are their automorphism groups ?