Two Issues in Public Key Cryptography - RSA BIT Security and a New Knapsack Type System (Hardcover)


This book explores public key cryptographic systems, first investigating the question of cryptographic security of bits in the RSA encryption and then constructing a new knapsack type public key cryptosystem, based on arithmetic in finite fields.In Part I, two problems involving the RSA encryption of a message are proved to be equivalent. This equivalence implies that an adversary, given the ciphertext, can't do better than guessing unless s/he can break the RSA code. The results generated by the author's proof indicate that Rabin/RSA encryption can be directly used for pseudo random bit generation.A new knapsack type public key cryptosystem is introduced in Part II, along with a detailed description of its implementation. The system is based on a novel application of arithmetic in finite fields, following a construction by Bose and Chowla. By choosing appropriate parameters, the density of the resulting knapsack can be controlled. In particular, the density can be made high enough to foil low-density attacks against this new system. At present there are no known attacks capable of breaking the system in a reasonable amount of time.Ben-Zion Chor received his doctorate from MIT where he is currently a Post Doctoral Fellow in the Computer Science Laboratory. "Two Issues in Public Key Cryptography: RSA Bit Security and a New Knapsack Type System" is a 1985 ACM Distinguished Dissertation.

Delivery AdviceNot available

Toggle WishListAdd to wish list
Review this Item

Product Description

This book explores public key cryptographic systems, first investigating the question of cryptographic security of bits in the RSA encryption and then constructing a new knapsack type public key cryptosystem, based on arithmetic in finite fields.In Part I, two problems involving the RSA encryption of a message are proved to be equivalent. This equivalence implies that an adversary, given the ciphertext, can't do better than guessing unless s/he can break the RSA code. The results generated by the author's proof indicate that Rabin/RSA encryption can be directly used for pseudo random bit generation.A new knapsack type public key cryptosystem is introduced in Part II, along with a detailed description of its implementation. The system is based on a novel application of arithmetic in finite fields, following a construction by Bose and Chowla. By choosing appropriate parameters, the density of the resulting knapsack can be controlled. In particular, the density can be made high enough to foil low-density attacks against this new system. At present there are no known attacks capable of breaking the system in a reasonable amount of time.Ben-Zion Chor received his doctorate from MIT where he is currently a Post Doctoral Fellow in the Computer Science Laboratory. "Two Issues in Public Key Cryptography: RSA Bit Security and a New Knapsack Type System" is a 1985 ACM Distinguished Dissertation.

Customer Reviews

No reviews or ratings yet - be the first to create one!

Product Details

General

Imprint

The MIT Press

Country of origin

United States

Series

ACM Distinguished Dissertation S.

Release date

1986

Availability

We don't currently have any sources for this product. If you add this item to your wish list we will let you know when it becomes available.

Authors

Dimensions

140 x 240mm (L x W)

Format

Hardcover

Pages

78

ISBN-13

978-0-262-03121-9

Barcode

9780262031219

Categories

LSN

0-262-03121-3



Trending On Loot