We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises results of Duursma and Lee for computing the Tate pairing on supersingular elliptic curves in characteristic three. We then show how our general technique leads to a new algorithm which is about twice as fast as the Duursma-Lee...

This paper gives the minimum generating sets of three types of one generator (1 + u)-quasi twisted (QT) codes over F 2 + uF 2 , u 2 = 0. Moreover, it discusses the generating sets and the lower bounds on the minimum Lee distance of a special class of A 2 type one generator (1 + u)-QT codes. Some good (optimal or suboptimal) linear codes over F 2 are obtained by these types of one generator (1 +...

Inhaltsverzeichnis 1 Einleitung 2 2 CASE-Tool Marktanalysen in der Literatur 2 3 Untersuchungsmethodik 3 3.1 Ziel der Untersuchung 3 3.2 Bestimmung der Untersuchungsform 3 3.3 Auswahl der Untersuchungseinheiten 4 3.4 Datenerhebung und -erfassung 5 3.4.1 Kriterienkatalog 5 3.4.2 Evaluierungskonzept 5 4 Darstellung, Interpretation und Diskussion der Ergebnisse 5 4.1 Überblick 5 4.2 Tendenzaussage...

Pavlos Paraskevopoulos University of Trento, Italy, Telecom Italia SKIL [email protected] Thanh-Cong Dinh University of Trento, Italy, Telecom Italia SKIL [email protected] Zolzaya Dashdorj University of Trento, Italy, Telecom Italia SKIL, Fondazione Bruno Kessler [email protected] Themis Palpanas University of Trento, Italy, [email protected] Luciano Serafini Fondazione ...

Recently Tate pairing and its variations are attracted in cryptography. Their operations consist of a main iteration loop and a final exponentiation. The final exponentiation is necessary for generating a unique value of the bilinear pairing in the extension fields. The speed of the main loop has become fast by the recent improvements, e.g., the Duursma-Lee algorithm and ηT pairing. In this pap...

background and objectives: enteropathogenic escherichia coli (epec) divided into two groups typical and atypical (aspect). the main virulence genes are located in a pathogenicity island called lee ( locus of enterocyte effacement ). lee frequently inserted in trna genes of selc , pheu and phev in the bacterial chromosome. tepec and aepec strains have some differences in their pathogenicity. the...

Lee distance Gray codes for k-ary n-cubes and torus networks are presented. Using these Lee distance Gray codes, it is further shown how to directly generate edge disjoint Hamiltonian cycles for a class of k-ary n-cubes, 2-D tori, and hypercubes.

1 European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Bruno Kessler Foundation, Trento, Italy, 2 Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic, 3 Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy, 4 School of Engineering and Materials Science, Queen Mary University of Lon...