Writing Authentication Protocols in Matlab

Hello Everyone,

I am a research student and a newbie in Matlab, my area of expertise are in authentication protocols. I need to develop and write my authentication protocols to check its security and performance results. My security scheme is in several phases, however, below I will give a simple example of a simple protocol written:

Ai = hc(IDi,x), where Ai is the server computing variable, IDi is the unique identity of the user, x is the private key of the system, and ℎc is the hash function which can be MD5 or SHA1.

Second equation, Vi=Ai (XOR sign)hc(PW (XOR sign)Si), where CVi is the computing variable, Ai contains the previous userid hash value. Here (XOR Sign) is basically the XOR symbol (a plus inside a circle). hc is the hash function (can be MD5, SHA1), PW is the password, Si is the input facial recognition image.

Please guide me how to write this equation in Matlab and pass values inside these variable to generate security and performance results?

Also, is there any library available in matlab, that can help my write authentication or cryptography protocols?

Thanks and appreciate expert comments please Regards