For me the weird parts jump out in the very first definitions. I'm not used to thinking of M, C, and K as "all possible messages, ciphertexts, and keys". It never occurred to me to work from those assumptions because that's a crazy huge space in my mind.
Plus the set notation threw me a little, e.g.: the cardinality of the set of all ciphertexts for key k in K is ... a number Nc. oookkaaayy.... pause ... ...60 minutes later .... OOOHHH got it!!! ... Same goes for the additive theorem, where suddenly the bit strings M and C become numbers that are added with k mod n --> First it's a message and now ... SHAZAM ... its big integer!
I know as an embedded analyst that RSA and ECC crypto spends a lot of time in bigint routines, but it is becoming clear WHY that is the case.
I realize this is all 101 stuff for people who know crypto, but I really want to learn it for real-reals, so I'm creeping through this book a little bit every day until my brain shuts down. It took me 30 minutes to convince myself of Example 2.6 wasn't perfect crypto: I know intuitively why, but applying the definition mathematically made me feel all of the rust in my brain from 30 years out of college.
I"m sure I'll hit more confusing set theory math, fortunately I have the internet.
Plus the set notation threw me a little, e.g.: the cardinality of the set of all ciphertexts for key k in K is ... a number Nc. oookkaaayy.... pause ... ...60 minutes later .... OOOHHH got it!!! ... Same goes for the additive theorem, where suddenly the bit strings M and C become numbers that are added with k mod n --> First it's a message and now ... SHAZAM ... its big integer!
I know as an embedded analyst that RSA and ECC crypto spends a lot of time in bigint routines, but it is becoming clear WHY that is the case.
I realize this is all 101 stuff for people who know crypto, but I really want to learn it for real-reals, so I'm creeping through this book a little bit every day until my brain shuts down. It took me 30 minutes to convince myself of Example 2.6 wasn't perfect crypto: I know intuitively why, but applying the definition mathematically made me feel all of the rust in my brain from 30 years out of college.
I"m sure I'll hit more confusing set theory math, fortunately I have the internet.
Such a fun book!