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 ...

Security systems are gaining increasing importance in recent times to protect life and valuable resources. Many advanced methods of providing security have been developed and are in use in the last few decades. Of these, ...

Cryptography is science of secure message transmission. Cryptanalysis is involved with breaking these encrypted messages. Both cryptography and cryptanalysis constitute together to form cryptology. Anonymity means ...

In this thesis, we investigate in detail, certain important problems in cryptography and coding theory. In the first part of this thesis, we discuss the number field sieve and compare the two ways in which the sieving ...

Algebraic attacks constitute an effective class of cryptanalytic attacks which have come up recently. In algebraic attacks, the relations between the input, output and the key are expressed as a system of equations and ...

The problem of guessing a random string is studied. It arises in the analysis of the strength of secret-key cryptosystems against guessing attacks. Expected number of guesses, or more generally moments of the number of ...