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Number Theoretic, Computational and Cryptographic Aspects of a Certain Sequence of Arithmetic Progressions
This thesis introduces a new mathematical object: collection of arithmetic progressions with elements satisfying the inverse property, \j-th terms of i-th and (i+1)-th progressions are multiplicative inverses of each other ...
Large Scale Implementation Of The Block Lanczos Algorithm
Large sparse matrices arise in many applications, especially in the major problems of Cryptography of factoring integers and computing discrete logarithms. We focus attention on such matrices called sieve matrices generated ...