In 1989, Koblitz [3] first proposed the Jacobian of a conventional (imaginary) hyperelliptic curve for use in public-key cryptographic protocols. Hyperelliptic curves are in a sense generalizations of elliptic curves. The Jacobian is a finite abelian group which, like elliptic curve groups, has unique representatives of group elements and efficient arithmetic (divisor addition and reduction). A...

Since nobody can guarantee that popular public key cryptosystems based on factoring or the computation of discrete logarithms in some group will stay secure forever, it is important to study different primitives and groups which may be utilized if a popular class of cryptosystems gets broken. A promising candidate for a group in which the DL-problem seems to be hard is the class group Cl(∆) of ...

This paper is an attempt to explore how Lacanian concepts of desire, unconscious, as well as alienation are reflected in the major characters of Vladimir Vladimirovich Nabokov’s Lolita. Before unleashing the new, inexplicable yet highly fascinating aspects of psychoanalysis by the advent of French poststructuralist and psychoanalyst Jacques Lacan, Freudian psychoanalysis used to play the pivota...

We compute the complete imaginary part of the NRQCD Lagrangian at order 1/M4 in the heavy-quark mass expansion, which includes center of mass operators, and at order αs in the matching coefficients. We also compute the imaginary part of the NRQCD Lagrangian at order 1/M6 and at order αs that contributes to the S-wave and P-wave inclusive decay widths of heavy quarkonium into light hadrons at or...

Relations between children's imaginary companion status and their engagement in private speech during free play were investigated in a socially diverse sample of 5-year-olds (N=148). Controlling for socioeconomic status, receptive verbal ability, total number of utterances, and duration of observation, there was a main effect of imaginary companion status on type of private speech. Children who...