{"product_id":"investigation-into-the-cryptographic-properties-adrian-ogara-9783656945628","title":"Investigation into the Cryptographic Properties of Elliptic Curves Defined over a Prime Field","description":"Bachelor Thesis from the year 2014 in the subject Computer Science - IT-Security, grade: 90.00, course: Computer Security \u0026amp; Digital Forensics, language: English, abstract: Elliptic curves, as used in cryptography, are essentially points bounded by a finite prime field which display group properties that facilitate their usage in a cryptosystem. The Discrete Log Problem (DLP) - based on a large prime order subgroup of (Zp)* - constitutes the essence of Elliptic Curve Cryptography (ECC) and can be summed up as such; find an integer, k, such that Q = kP where k = logp(Q) and P, Q ∈ (Zp)*. Compared to the Integer Factorisation Problem - upon which RSA is constructed - the DLP achieves a greater level of complexity in terms of resistance to attack. This project seeks to describe the mathematical properties that enable ECC to outperform RSA, culminating in the construction of a software system to demonstrate ECC's ability to securely encipher and decipher files and text, according to the National Security Agency's (NSA) Cryptographic Interoperability Strategy (CIS) or Suite B Cryptography.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Adrian O'Gara\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3656945624\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783656945628\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Grin Verlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/22\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 44\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.27h x 5.83w x 0.11d","brand":"Adrian O'Gara","offers":[{"title":"Paperback","offer_id":48217636012287,"sku":"9783656945628","price":44.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5c25f2f0-da2c-489c-a4b9-0648fddd128d.jpg?v=1771998468","url":"https:\/\/www.whiterainbookhouse.com\/products\/investigation-into-the-cryptographic-properties-adrian-ogara-9783656945628","provider":"WR Book House","version":"1.0","type":"link"}