We know that a digital signature is for the purpose of ensuring data  integrity and authenticity.  a) Checksum adds all the bits of the message (or blocks), is checksum a good  way to construct a digital signature scheme? How about a hash function, i.e,  Sign(M)= h(M)? b) If we use a hash to generate a signature in a more complicated way as  follows Sign(k,m) = σ = h(k) XOR m XOR h(m), and m, σ will be sent along.  Would this be a secure signature? Briefly explain. please do not use chegg or ai tool like chat gpt please

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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We know that a digital signature is for the purpose of ensuring data 
integrity and authenticity. 
a) Checksum adds all the bits of the message (or blocks), is checksum a good 
way to construct a digital signature scheme? How about a hash function, i.e, 
Sign(M)= h(M)?
b) If we use a hash to generate a signature in a more complicated way as 
follows Sign(k,m) = σ = h(k) XOR m XOR h(m), and m, σ will be sent along. 
Would this be a secure signature? Briefly explain.

please do not use chegg or ai tool like chat gpt please 

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Step 1

Introduction of digital signature:

An electronic message or document's authenticity and provenance can be attested to using a digital signature, a form of data encryption. It serves as a safeguard against data corruption or outside interference. Applying a mathematical algorithm to the initial data results in the creation of a digital signature. The material is then added to with the resulting signature.

Using a checksum is one of the most popular ways to ensure data security. A checksum is a particular kind of algorithm that increases the number of bits in a collection of digital data to create a special code. The initial data set and this code are then compared to make sure no modifications have been made. The data has likely been altered if the checksum code does not coincide with the initial data set.

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