Davies Meyer H_i = E_{m_i}(H_{i 1}) + H_{i 1}Matyas Meyer Oseas

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cheap jordan sneakers Thank you for your understanding and for following the rules.Become a Redditorand subscribe to one of thousands of communities.4I been looking into one way compression functions recently, and I been pondering on the hardness of the underlying cipher versus various one way constructions.For example, if you take an ideal block cipher E(k,m) which, for every k emits cheap retro jordans a uniformly random bijection of m > n, be it AES or IDEA or even DES. For 2000 pigeons in 1000 boxes there are almost exactly 2 per box) then your chance of collision would increase hence why uniform randomness matters.So, there are various one way compression constructions which build upon ciphers, that rely on the property of every m being a bijection for every different k.Davies Meyer H_i = E_{m_i}(H_{i 1}) + H_{i 1}Matyas Meyer Oseas H_i = E_{H_{i 1}}(m_i) + m_iMiyaguchi Preneel H_i = E_{H_{i 1}}(m_i) + H_{i 1} + m_iThe general theme is that the output of the previous is used as the key (or message) to the next instance to the cipher block, so while very cheap jordans free shipping you may be able to recover the plaintext from an insecure cipher when used with a single key and you have many plain/ciphertext examples when used in these one way constructions it becomes a problem of http://www.nikefacebook.com computational hardness is collision resistance?From my understanding, any of the constructions (above) require you to find a fixed point, where if you control both inputs (m and k), then the output is potentially forgeable regardless of the strength of the cipher.The Davies Meyer and Matyas Meyer Oseas constructs look similar, albeit inverted, but I noted that it unlikely for either to be better than the other. While the Miyaguchi Preneel binds all inputs into a single output making it computationally harder to find a fixed point.My question is with the Miyaguchi Preneel construct, is it necessary to have a computationally hard one way function as E, or would any keyed bijection over the field work? In that case surely the hardness of the hash cheap js function has nothing to do with the of cheap retro jordans size 9 the underlying permutation but more cheap air jordans 9 on the construction cheap jordans authentic cheap jordan sneakers.