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Number-Theoretic Algorithms in Cryptography
Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; and, algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.
Enforcing Equality
In Enforcing Equality, Rebecca E. Zietlow assesses Congress's historical role in interpreting the Constitution and protecting the individual rights of citizens, provocatively challenging conventional wisdom that courts, not legislatures, are best suited for this role. Specifically focusing on what she calls “rights of belonging”—a set of positive entitlements that are necessary to ensure inclusion, participation, and equal membership in diverse communities—Zietlow examines three historical eras: Reconstruction, the New Deal era, and Civil Rights era of the 1960s. She reveals that in these key periods when rights of belonging were contested and defined, Congress has played the role of...
