We know that, the most classic problem was distribution key... In asymmetric cryptography algorithm this problem a little bit solved but the impact is it take it too long process, so one of solution could be used was protocol cryptography with symmetric cryptography algorithm, i just wanna ask all researcher which is the best protocol cryptography is it Thres-Pass, bit commitment protocol, secret sharing, secret splitting or else.. please give me your answer
Your question is not well defined. Differet tasks have different protocols. Authenticated key exchange is indeed a key protocol to span secret authenticated channel between clients and servers or inter servers communication (TLS/ SSL does that). In the mobile domain we have messaging protocols for end-to-ed encryption involving similar methods. All these are used billions of times per day over the Internet. The other various protocols you mention are theoretical ideas mainly (some in some level of use).
It looks like performance is your main concern so i would suggest to make several tests on the servers you have in order to stablish an reliability vs performance ranking and then have enough data to make your choice.
There does not exist a best cryptosystem, but you can postulate requirements for every use case and pick a cryptosystem based on the answers of questions, such as:
How long shall it be robust against cryptographic attacks?
How long may encryptions and decryptions last?
Can you use a PKI that seems to be confidential enough?
...
what i mean is about performance... let's take an example communication in bank transaction... until now RSA was one of the algorithm used in banking, could this replace or give another choice "why dont use protocol cryptography?", like that... thanks you
Since your question is already answered above. Again I am repeating that there is no such best in cryptography. But you can choose one based on your requirement (i.e. your target platform, how sensitive your data is, how long it would be in required be in encrypted state and so on). Yes there is alternative in the context of key length which also means performance, that Elliptic curve crypto. ECDSA is now used by most of tech giants like Google in Gmail and Facebook.
But don't forget to consider about the difficulty of the implementation (easy or complicated, including sophisticated infrastructure or not)
The first question must always be which security level you need, how powerful are the attackers that you want to defend against. You can never ask for performance before having stated the desired level of security.
Otherwise the fastest "algorithms" is to use no cryptography at all.
In my opinion the comparison of asymmetric cryptography to protocol cryptography does not work, as this compares two things on different abstraction levels: Asymmetric and symmetric cryptographic schemes are somewhat "low-level" regarding the abstractions in cryptography, while cryptographic protocols are higher up the abstraction levels. Cryptographic protocols typically utilize asymmetric building blocks to achieve their security goals.
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