Group theoretic cryptography. (2015)

• Record Type: Book
• Further Information: Note: Maria Isabel González Vasco, Rainer Steinwandt.
• Authors: Vasco, María Isabel González; Steinwandt, Rainer
• Contents: PRELIMINARIES Mathematical background; Algebraic structures in a nutshell; Finite groups; Summary and further reading; Exercises; ; Basics on complexity ; Complexity classes; Asymptotic notation and examples; Summary and further reading; Exercises; ; Cryptology: An introduction ; A short historical overview; Historical encryption schemes; Public-key cryptography; Modern cryptology; Summary and further reading; Exercises; ; PUBLIC-KEY ENCRYPTION; ; Provable security guarantees ; Public-key encryption revisited; Characterizing secure public-key encryption; One-way functions and random oracles; The general Bellare-Rogaway construction; IND-CCA security with an Abelian group: RSA-OAEP; One-way functions from non-Abelian groups?; Summary and further reading; Exercises; ; Public-key encryption in the standard model ; The Crame-Shoup encryption scheme from 1998; Going beyond: Tools; Projective hash families; Subset membership problems; Hash proof systems; General Cramer-Shoup encryption scheme; A concrete instantiation; Projective hash families from (non-Abelian) groups; Group action systems; Group action projective hash families; Summary and further reading; Exercises; ; Public-key encryption using infinite groups; The word problem in finitely presented groups; The encryption scheme of Wagner and Magyarik; Polly Cracker; A successor of the Wagner-Magyarik scheme; Using a group that is not finitely presentable?; Braid groups in cryptography; Basics on braid groups; Some computational problems in the braid group Bn; Summary and further reading; Exercises; ; III SECRET-KEY ENCRYPTION; ; Block ciphers ; Advanced Encryption Standard; Specifying the round function; Key schedule; Encryption and decryption with AES; Data Encryption Standard; General structure of DES: A Feistel cipher; Round function of DES; Key schedule; Permutation Group Mappings; Modes of operation; Electronic codebook (ECB) mode; Cipher block chaining (CBC) mode; Cipher feedback (CFB) mode; Output feedback (OFB) mode; Counter (CTR) mode; Summary and further reading; Exercises; ; Cryptographic hash functions and message authentication codes; Cryptographic hash functions; Deriving a hash function from a block cipher; Cayley hash functions; Message authentication codes; Keyed-Hash Message Authentication Code; Cipher-based Message Authentication Code; Summary and further reading; Exercises; ; OTHER CRYPTOGRAPHIC CONSTRUCTIONS; ; Key establishment protocols ; Setting the stage; Provable security for key exchange protocols; A secure construction; Anshel-Anshel-Goldfeld key exchange; Braid-based key exchange; Constructions over matrix groups; Summary and further reading; Exercises; ; Signature and identification schemes ; Definitions and terminology; RSA signatures: FDH and PSS; Identification schemes; Summary and further reading; Exercises; ; APPENDIX ; ; Solutions to selected exercises ; Solutions to selected exercises of Part I; Solutions to selected exercises of Part II; Solutions to selected exercises of Part III; Solutions to selected exercises of Part IV; ; References; Index;
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 005.8; Cryptography; Data encryption (Computer science); Computer networks -- Security measures
• Languages: English
• ISBNs: 9781584888376
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.