Basic Cryptographic Concepts and Open Problems in Hash Function Security

JOHNNA SMITH, Dept of Mathematics, Shepherd University, Shepherdstown, WV, 25443, and DONALD MILLS, Computer Sciences, Engineering, 25443. Analysis basic cryptographic concepts recent open problems in hash function security. 
 The objectives this study are to show an understanding as well highlight involving method used included reading the first five chapters Cryptography: Theory Practice by Stinson Paterson a paper that outlined Then, written reports were delivered on information learned which selected proofs solved examples. essentials opening report introduce elements cryptography: cryptosystems, tools, message integrity, protocols, security approaches. Chapter 2 “Cryptography” describes various types ciphers including Shift, Substitution, Affine, Vigenère, Hill, Permutation, Stream Ciphers, how cryptanalyze them. third focuses One-time Pad, entropy, perfect security, specifically unconditional introduced Claude Shannon his work theory. Throughout fourth report, block stream ciphers, substitution-permutation networks, attacks such linear differential cryptanalysis, modes operation discussed. In fifth cryptography, authentication discussed, iterated function, sponge construction, unconditionally secure MACS. Using from previous reports, current functions then researched. conclusion, include collision resistance, preimage resistant length extension attacks. project was sponsored NSF S-STEM Grant (DUE-2130267).