{"product_id":"investigation-into-the-cryptographic-properties-of-elliptic-curves-defined-over-a-prime-field-9783656945628","title":"Investigation into the Cryptographic Properties of Elliptic Curves Defined over a Prime Field","description":"\u003cp\u003e • Author(s): Adrian O'Gara\u003cbr\u003e • Publisher: Grin Verlag\u003cbr\u003e • Publisher Imprint: Grin Verlag\u003cbr\u003e • BISAC: Networking - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eBachelor 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.\u003c\/p\u003e","brand":"Grin Verlag","offers":[{"title":"Paperback","offer_id":45561643401367,"sku":"9783656945628","price":2146.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783656945628.webp?v=1767180906","url":"https:\/\/atlanticbooks.com\/products\/investigation-into-the-cryptographic-properties-of-elliptic-curves-defined-over-a-prime-field-9783656945628","provider":"Atlantic Books","version":"1.0","type":"link"}