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Date: 2013
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/224276
Description: We present a collection of several natural questions about elliptic curves, mostly over finite fields, that have led to some interesting number theoretic questions and whose solutions require rather i ... More
Date: 2010
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/118784
Description: 31 page(s)
Date: 2010
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/118777
Description: In this chapter we continue the exposition of crypto topics that was begun in the previous chapter. This chapter covers secret sharing, threshold cryptography, signature schemes, and finally quantum k ... More
Date: 2010
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/120200
Description: In this chapter we review a category theoretic approach to ontology engineering. Using ideas from universal algebra, we carefully distinguish presentations of ontologies from the ontologies themselves ... More
Date: 2010
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/125649
Description: 21 page(s)
Date: 2010
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/126214
Description: This chapter presents security models for confidentiality and unforgeability of signcryption schemes in the multi-user setting. A family of security models for signcryption in both two-user and multi- ... More
Date: 2010
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/120153
Description: Chaum’s Dining Cryptographers protocol crystallises the essentials of security just as other famous diners once demonstrated deadlock and livelock: it is a benchmark for security models and their asso ... More
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/88214
Description: 7 page(s)
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/163467
Description: This paper deals with products of moderate-size primes, familiarly known as smooth numbers. Smooth numbers play an crucial role in information theory, signal processing and cryptography. We present va ... More
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/131013
Description: While there has been research on the diffusion of a particular type of innovation, few if any studies have examined the acceptance of a set of innovations (behavioral innovativeness) over time. This s ... More
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/130608
Description: It is well-known that the performance of wireless protocols depends on the quality of the wireless links, which in turn is affected by the network topology. The aim of this paper is to investigate the ... More
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/118660
Description: Introduced by Kraitchik and Lehmer, an x-pseudosquare is a positive integer n ≡ I (mod 8) that is a quadratic residue for each odd prime p ≤ x, yet is not a square. We use bounds of character sums to ... More
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/92393
Description: It has been shown by J.-P. Serre that the largest possible number of Fq-rational points on curves of small genus over the finite field Fq of q elements depends on the divisibility property p | [2q½], ... More
Date: 2009
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/92721
Description: We give a survey of several recently suggested constructions of generating sequences of pseudorandom points on elliptic curves. Such constructions are of interest for both classical and elliptic curve ... More
Authors: Johnson, Michael
Date: 2008
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.14/74875
Description: We study some of the mathematical challenges presented by the need to support ensemble engineering, concentrating on likely contributions from category theory and universal algebra. Particular attenti ... More