1.3. we consider the long-term security of the advanced encryption standard (aes) with a key length of 128-bit with respect to exhaustive key-search attacks. aes is perhaps the most widely used symmetric cipher at this time. 1. assume that an attacker has a special purpose application specific integrated circuit (asic) which checks 5 · 108 keys per second, and she has a budget of $1 million. one asic costs $50, and we assume 100% overhead for integrating problems 25 the asic (manufacturing the printed circuit boards, power supply, cooling, how many asics can we run in parallel with the given budget? how long does an average key search take? r

we can all learn from our past mistakes because we all have different ways of learning different types of techniques. my way may or may not another classmate remember and have the repetition to acknowledge such standard. such as remembering acronyms. using abbreviations to us remember keep things in order in our memory. this us figure out what comes next in the sequence. if so, what we have is a sentence of just letters all in caps. we either know the meaning or have no idea what it stands for. most of the time we know the meaning and context. but most of us who don't know, should learn by having a quick glance at what needs to be remembered. such as repetition in the memory for acronyms. one way that me, is the fact that i'm always doing math and english assignments. so we have to remember specific meanings such as soapstone for documents, such as citing correctly. or pemdas for doing the equations correctly, even if it's the super long way. this works for everyone. you just have to find what works for you by practicing and repetition daily.