MTRF 6, G220, Winter 2007-2008<\/span> Recommended Text: Elliptic Curves: Number Theory and Cryptography<\/i> by Lawrence Washington. He has a list of errata on his webpage<\/a>.<\/p>\n For Monday, December 7: Turn in<\/a> the Modular arithmetic homework<\/a>. The Elliptic Curve Addition practice<\/a>. In this course we will be studying Algebra and algebraic number theory, with a concentration on the aspects that relate to modern cryptography.<\/p>\n Until recently, most methods of encrypting messages were essentially a simple matrix multiplication whose security lay in the fact that the elements of the matrix were unknown. In the late 1970s, Rivest, Shamir, and Adelman described a technique that took advantage of the fact that factoring integers is a hard problem. Their scheme uses the cyclic group generated using modular arithmetic. More recently, others have invented schemes using Elliptic curves to make use of groups that have more complicated structure.<\/p>\n Go to<\/p>\n MA478 Topics in Number Theory MTRF 6, G220, Winter 2007-2008 John Rickert, Associate Professor of Mathematics Office: G-215A, Crapo Hall Phone: (812) 877-8473 My schedule this term. e-mail: rickert@rose-hulman.edu Recommended Text: Elliptic Curves: Number Theory and Cryptography by Lawrence Washington. He has a list of errata on his webpage. For Monday, December 7: Turn in the Modular arithmetic homework. For…<\/p>\n
\nJohn Rickert, Associate Professor of Mathematics
\nOffice:<\/b> G-215A, Crapo Hall
\nPhone:<\/b> (812) 877-8473
\nMy schedule<\/a> this term.
\ne-mail:<\/b> rickert@rose-hulman.edu<\/a><\/p>\n
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\nFor Monday, December 14: Turn in<\/a> the Group\/Ring\/Field homework<\/a>.
\nFor Monday, January 11: Turn in<\/a> the Morphisms homework<\/a>.<\/p>\n
\nExercises from the textbook: 4.3,4.4, 5.2,5.3,5.5.
\nTurn in exercises 4.3,4.4, 5.2,5.3,5.5, 6.2,6.4,6.6,6.7 by 5:00PM EST Thursday, Februrary 25, A.D. 2010.<\/p>\n
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