Jean Baptiste Francois Pompallier, Thomas Arnold and Julian Edmund Tenison Woods and their contribution to the formation and development of Catholic schooling in Australasia

Histories of Catholic education have received little attention by Church historians and are usually written by members of the Catholic clergy, with a strong emphasis placed on the spiritual and building accomplishments of the bishops. This thesis examines the provision of Catholic Education in Australasia, with a focus on the contribution of three men, Jean Baptiste Francois Pompallier, Thomas Arnold and Julian Edmund Tenison Woods. These men received support from the female religious orders in the regions where they worked, frequently with little recognition or praise by Catholic Church authorities. The tenets of their faith gave Pompallier and Woods strength and reinforced their determination to succeed. Arnold, however, possessed a strong desire to change society. All three believed in the desirability of providing Catholic schooling for the poor, with the curriculum facilitating the acquisition of socially desirable values and traits, including obedience, honesty, moral respectability and a strong adherence to Catholic religious values. The beneficiaries included society, future employers, the Church, the children and their parents. With the exception of promoting distinctly Catholic religious values, Roman Catholic schools and National schools in Australasia shared identical objectives. Historians have neglected the contributions of these men.

MöBIUS-α commutative functions and partially coincident functions

The M¨obius transform of Boolean functions is often involved in cryptographic design and analysis. As studied previously, a Boolean function f is said to be coincident if it is identical with its M¨obius transform fμ, i.e., f = fμ...

An algebraic analysis of trivium ciphers based on the boolean satisfiability problem

Trivium is a stream cipher candidate of the eStream project. It has successfully moved into phase three of the selection process under the hardware category. No attacks faster than the exhaustive search have so far been reported on Trivium. Bivium-A and Bivium-B are simplified versions of Trivium that are built on the same design principles but with two registers. The simplified design is useful in investigating Trivium type ciphers with a reduced complexity and provides insight into effective attacks which could be extended to Trivium. This paper focuses on an algebraic analysis which uses the boolean satisfiability problem in propositional logic. For reduced variants of the cipher, this analysis recovers the internal state with a minimal amount of keystream observations.