{"product_id":"candidate-multilinear-maps-sanjam-garg-9781627055499","title":"Candidate Multilinear Maps","description":"The aim of cryptography is to design primitives and protocols that withstand adversarial behavior. Information theoretic cryptography, how-so-ever desirable, is extremely restrictive and most non-trivial cryptographic tasks are known to be information theoretically impossible. In order to realize sophisticated cryptographic primitives, we forgo information theoretic security and assume limitations on what can be efficiently computed. In other words we attempt to build secure systems conditioned on some computational intractability assumption such as factoring, discrete log, decisional Diffie-Hellman, learning with errors, and many more. In this work, based on the 2013 ACM Doctoral Dissertation Award-winning thesis, we put forth new plausible lattice-based constructions with properties that approximate the sought after multilinear maps. The multilinear analog of the decision Diffie-Hellman problem appears to be hard in our construction, and this allows for their use in cryptography. These constructions open doors to providing solutions to a number of important open problems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sanjam Garg\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1627055495\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781627055499\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e ACM Books\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/01\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 122\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.95lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.25h x 7.50w x 0.31d","brand":"Sanjam Garg","offers":[{"title":"Hardcover","offer_id":48088663392511,"sku":"9781627055499","price":71.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f019a2e4-4af8-4581-8513-839ba8051b56.jpg?v=1769105981","url":"https:\/\/www.whiterainbookhouse.com\/products\/candidate-multilinear-maps-sanjam-garg-9781627055499","provider":"WR Book House","version":"1.0","type":"link"}