mathematical cryptography

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• cryptography — The process of writing or solving codes. The term describes processes by which transmissions of data are kept secure by applying very large numbers with particular mathematical properties for the purpose of encryption of or scrambling data.… …   Law dictionary

• Cryptography — Secret code redirects here. For the Aya Kamiki album, see Secret Code. Symmetric key cryptography, where the same key is used both for encryption and decryption …   Wikipedia

• Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

• Cryptography in Japan — There is not much cryptological history in Japan prior to the twentieth century, only a few simple codes were used and there seems to have been no practice of cryptanalysis at all.There seems to be almost no cryptology in Japan before the Warring …   Wikipedia

• History of cryptography — The history of cryptography begins thousands of years ago. Until recent decades, it has been the story of what might be called classic cryptography that is, of methods of encryption that use pen and paper, or perhaps simple mechanical aids. In… …   Wikipedia

• Books on cryptography — have been published sporadically and with highly variable quality for a long time. This is despite the tempting, though superficial, paradox that secrecy is of the essence in sending confidential messages mdash; see Kerckhoffs principle. In… …   Wikipedia

• Public-key cryptography — In an asymmetric key encryption scheme, anyone can encrypt messages using the public key, but only the holder of the paired private key can decrypt. Security depends on the secrecy of that private key …   Wikipedia

• Elliptic curve cryptography — (ECC) is an approach to public key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz[1] and Victor S. Miller[2] in 1985.… …   Wikipedia

• Lattice based cryptography — is the generic term for asymmetric cryptographic primitives based on lattice. HistoryLattice have first been discovered by mathematicans Lagrange and Gauss. Lattice have been used laterly in computer algorithms and in cryptanalysis. In 1996 Atjai …   Wikipedia

• Courant Institute of Mathematical Sciences — (CIMS) Established 1935 Type Private Academic staff 82 …   Wikipedia

• Trace Zero Cryptography — In the year 1998 Gerhard Frey firstly purposed using trace zero varieties for cryptographic purpose. These varieties are subgroups of the divisor class group on a low genus hyperelliptic curve defined over a finite field. These groups can be used …   Wikipedia