Algebra for Cryptologists

¡ Springer
ā§Ē.ā§Ļ
ā§Š āĻŸāĻž āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻž
āĻ‡āĻŦā§āĻ•
301
āĻĒā§ƒāĻˇā§āĻ āĻž

āĻāĻ‡ āĻ‡āĻŦā§āĻ•āĻ–āĻ¨ā§° āĻŦāĻŋāĻˇā§Ÿā§‡

This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice.

Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved.

Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-study in preparation for postgraduate study in cryptology.

āĻŽā§‚āĻ˛ā§āĻ¯āĻžāĻ‚āĻ•āĻ¨ āĻ†ā§°ā§ āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻžāĻ¸āĻŽā§‚āĻš

ā§Ē.ā§Ļ
ā§Š āĻŸāĻž āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§‹āĻšāĻ¨āĻž

āĻ˛āĻŋāĻ–āĻ•ā§° āĻŦāĻŋāĻˇāĻ¯āĻŧā§‡

Alko R. Meijer spent some 30 years in academia, including 18 years as professor in the Department of Mathematics and Applied Mathematics at the University of Natal, gradually moving from pure Algebra into its applications, before eventually entering the field of cryptology as a full-time occupation. He is currently a director of Ciphertec c.c. which provides consultation services on communication and data storage security, including in-house courses in cryptology for industry. He has served a term of office as president of the South African Mathematical Society and has represented South Africa at international standards committee meetings dealing with cryptology.

āĻāĻ‡ āĻ‡āĻŦā§āĻ•āĻ–āĻ¨āĻ• āĻŽā§‚āĻ˛ā§āĻ¯āĻžāĻ‚āĻ•āĻ¨ āĻ•ā§°āĻ•

āĻ†āĻŽāĻžāĻ• āĻ†āĻĒā§‹āĻ¨āĻžā§° āĻŽāĻ¤āĻžāĻŽāĻ¤ āĻœāĻ¨āĻžāĻ“āĻ•āĨ¤

āĻĒāĻĸāĻŧāĻžā§° āĻ¨āĻŋāĻ°ā§āĻĻā§‡āĻļāĻžā§ąāĻ˛ā§€

āĻ¸ā§āĻŽāĻžā§°ā§āĻŸāĻĢ’āĻ¨ āĻ†ā§°ā§ āĻŸā§‡āĻŦāĻ˛ā§‡āĻŸ
Android āĻ†ā§°ā§ iPad/iPhoneā§° āĻŦāĻžāĻŦā§‡ Google Play Books āĻāĻĒāĻŸā§‹ āĻ‡āĻ¨āĻˇā§āĻŸāĻ˛ āĻ•ā§°āĻ•āĨ¤ āĻ‡ āĻ¸ā§āĻŦāĻ¯āĻŧāĻ‚āĻ•ā§āĻ°āĻŋāĻ¯āĻŧāĻ­āĻžā§ąā§‡ āĻ†āĻĒā§‹āĻ¨āĻžā§° āĻāĻ•āĻžāĻ‰āĻŖā§āĻŸā§° āĻ¸ā§ˆāĻ¤ā§‡ āĻ›āĻŋāĻ‚āĻ• āĻšāĻ¯āĻŧ āĻ†ā§°ā§ āĻ†āĻĒā§āĻ¨āĻŋ āĻ¯'āĻ¤ā§‡ āĻ¨āĻžāĻĨāĻžāĻ•āĻ• āĻ¤'āĻ¤ā§‡āĻ‡ āĻ•ā§‹āĻ¨ā§‹ āĻ…āĻĄāĻŋāĻ…'āĻŦā§āĻ• āĻ…āĻ¨āĻ˛āĻžāĻ‡āĻ¨ āĻŦāĻž āĻ…āĻĢāĻ˛āĻžāĻ‡āĻ¨āĻ¤ āĻļā§āĻ¨āĻŋāĻŦāĻ˛ā§ˆ āĻ¸ā§āĻŦāĻŋāĻ§āĻž āĻĻāĻŋāĻ¯āĻŧā§‡āĨ¤
āĻ˛ā§‡āĻĒāĻŸāĻĒ āĻ†ā§°ā§ āĻ•āĻŽā§āĻĒāĻŋāĻ‰āĻŸāĻžā§°
āĻ†āĻĒā§āĻ¨āĻŋ āĻ•āĻŽā§āĻĒāĻŋāĻ‰āĻŸāĻžā§°ā§° ā§ąā§‡āĻŦ āĻŦā§āĻ°āĻžāĻ‰āĻœāĻžā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻ•ā§°āĻŋ Google PlayāĻ¤ āĻ•āĻŋāĻ¨āĻž āĻ…āĻĄāĻŋāĻ…'āĻŦā§āĻ•āĻ¸āĻŽā§‚āĻš āĻļā§āĻ¨āĻŋāĻŦ āĻĒāĻžā§°ā§‡āĨ¤
āĻ‡-ā§°ā§€āĻĄāĻžā§° āĻ†ā§°ā§ āĻ…āĻ¨ā§āĻ¯ āĻĄāĻŋāĻ­āĻžāĻ‡āĻš
Kobo eReadersā§° āĻĻā§°ā§‡ āĻ‡-āĻšāĻŋā§ŸāĻžāĻāĻšā§€ā§° āĻĄāĻŋāĻ­āĻžāĻ‡āĻšāĻ¸āĻŽā§‚āĻšāĻ¤ āĻĒā§āĻŋāĻŦāĻ˛ā§ˆ, āĻ†āĻĒā§āĻ¨āĻŋ āĻāĻŸāĻž āĻĢāĻžāĻ‡āĻ˛ āĻĄāĻžāĻ‰āĻ¨āĻ˛â€™āĻĄ āĻ•ā§°āĻŋ āĻ¸ā§‡āĻ‡āĻŸā§‹ āĻ†āĻĒā§‹āĻ¨āĻžā§° āĻĄāĻŋāĻ­āĻžāĻ‡āĻšāĻ˛ā§ˆ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ¨ā§āĻ¤ā§°āĻŖ āĻ•ā§°āĻŋāĻŦ āĻ˛āĻžāĻ—āĻŋāĻŦāĨ¤ āĻ¸āĻŽā§°ā§āĻĨāĻŋāĻ¤ āĻ‡-ā§°āĻŋāĻĄāĻžā§°āĻ˛ā§ˆ āĻĢāĻžāĻ‡āĻ˛āĻŸā§‹ āĻ•ā§‡āĻ¨ā§‡āĻ•ā§ˆ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ¨ā§āĻ¤ā§° āĻ•ā§°āĻŋāĻŦ āĻœāĻžāĻ¨āĻŋāĻŦāĻ˛ā§ˆ āĻ¸āĻšāĻžāĻ¯āĻŧ āĻ•ā§‡āĻ¨ā§āĻĻā§ā§°āĻ¤ āĻĨāĻ•āĻž āĻ¸āĻŦāĻŋāĻļā§‡āĻˇ āĻ¨āĻŋā§°ā§āĻĻā§‡āĻļāĻžā§ąāĻ˛ā§€ āĻšāĻžāĻ“āĻ•āĨ¤