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Validating an RSA public key

What kind of tests can be performed on a public key to check if it is likely a valid key? The tests should be relatively fast – i.e. not computationally intensive – and not include modular exponentiation.

I’m asking this question as developers generally work (or should work) on the principle of fail fast, in which an error is thrown as soon as it can be detected.

As an example I could indicate that the public key should not include negative integers for the modulus and public exponent. Please assume that the RSA public key consists of two integer values; encoding related problems should be ignored.

EC has lower CPU consumption than RSA under what condition?

When I searched Google, the top result said On average, processing for ECC is about four times less CPU-intensive than for RSA. Yeah, but under what condition? The page says "A 256-bit EC certificate (the minimum length supported) is roughly equivalent to a 3k RSA cert. " Then, does the above 1/4 consumption mean a::Listen

When I searched Google, the top result said

On average, processing for ECC is about four times less CPU-intensive than for RSA.

Yeah, but under what condition? The page says "A 256-bit EC certificate (the minimum length supported) is roughly equivalent to a 3k RSA cert. " Then, does the above 1/4 consumption mean a situation like 256-bit EC vs 3K RSA, which is "roughly equivalent" security? Also, don’t modern CPU’s have some sort of hardware acceleration for RSA? Does the above assume when the encryption is done purely on software, without using such hardware acceleration?

Validating an RSA public key

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