Posts Tagged ‘finite cyclic groups’
Infrastructures and Global Fields.
thursday, july 23rd, 2009The following posts give an introduction to infrastructures and how to obtain these from global fields: The Discrete Logarithm Problem and Generalizations. One-dimensional Infrastructures. Interpreting One-dimensional Infrastructures as Groups: f-Representations. n-dimensional Infrastructures. How to Obtain Reduction Maps for n-dimensional Infrastructures. Obtaining Infrastructures from Global Fields. See also my article on infrastructures at Wikipedia.
One-dimensional Infrastructures.
monday, july 20th, 2009We give the definition of one-dimensional infrastructures and construct baby and giant steps. Moreover, we show that one-dimensional infrastructures generalize finite cyclic groups. Finally, we give some remarks on our choice of the giant step definition.
