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Can a single secret key can be used by the sender to sign documents for multiple receiver ?

I think we can because purpose of digital signature is to make sure that on the way data is not corrupted and also it is coming from the source expected by us.
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can't say , what exactly you're asking because The purpose of  Digital signature is 'Integrity'. It's like in your college some important notice is attached to notice board , now how would you know that it's not a garbage message but a True notice? by seeing your HOD's signature on paper , you would make sure that it's a valid notice. SO i mean here Signature is protector which is nothing but private key of HOD ( Nobody can make HOD's sign) Everyone have knowledge how HOD's signature looks like(means everyone has public key of HOD, sender), so everyone can confirm that notice is issued by HOD.

So in this all procedure , here is every sender will sign document by his own private key and receiver will verify by sender's public key..and everyone has only one kind of signature , how many kinds of signature do you possess? only one i hope.
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That is  what I am saying as HOD can sign different notices(i.e using same private key for different messages). So we can use the same private key to sign documents for different receivers
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and i answered it.

everyone possess  only and only one signature. so no matter how many receivers are there , if you're communicating to those , and integrity is your goal , then according to Digital signature ,you sign all documents with same private key.
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