On the problem of algebraic completeness for the invariants of the Riemann Tensor: I

We present a new determining set, CZ, of Riemann invariants which possesses the minimum degree property. From an analysis on the possible independence of CZ, we are led to the division of all space-times into two distinct, invariantly characterized, classes: a general class M_G+, and a special, singular class M_S For each class, we provide an independent set of invariants (I_G+) ⊂ CZ and I_S ⊂ CZ, respectively) which, with the results of a sequel paper, will be shown to be algebraically complete.

On the problem of algebraic completeness for the invariants of the Riemann tensor. III.

We study the set CZ of invariants [Zakhary and Carminati, J. Math. Phys. 42, 1474 (2001)] for the class of space-times whose Ricci tensors possess a null eigenvector. We show that all cases are maximally backsolvable, in terms of sets of invariants from CZ, but that some cases are not completely backsolvable and these all possess an alignment between an eigenvector of the Ricci tensor with a repeated principal null vector of the Weyl tensor. We provide algebraically complete sets for each canonically different space-time and hence conclude with these results and those of a previous article [Carminati, Zakhary, and McLenaghan, J. Math. Phys. 43, 492 (2002)] that the CZ set is determining or maximal.

Corporate liability for workplace deaths and injuries-reflecting on Victoria's laws in the light of the Esso Longford explosion

The purpose of this article is to consider some different legal models for the liability of corporations for the deaths and serious injuries of their employees, with particular emphasis on the law in Victoria.

Two recent developments in Victoria prompt this consideration. First, on 30 July 2001, the Victorian Supreme Court handed down its sentencing decision in the case arising from the explosion on 25 September 1998 at the Longford gas plant operated by Esso Australia Pty Ltd. The decision marked the end of the formal public consideration of a devastating event in Victorian industrial history, which began with the Royal Commission set up on 20 October 1998 to investigate the causes of an explosion in which two workers died and eight others were injured. Second, in early 2002, the Victorian Government failed in its attempt to introduce new criminal offences for corporate employers whose employees are killed or seriously injured at work. In spite of their failure to be passed by the Legislative Council in Victoria, these proposals warrant consideration. They represent a growing trend by policy makers in attempting to address more effectively the question of the liability for deaths and serious injuries of workers to employers who operate through the corporate form.

So far so good? : A critical evaluation of racial vilification laws in Australia

Problems with Australia's racial vilification laws - s 18C of the Commonwealth's Racial Discrimination Act - free speech and public interest defences under the Racial Discrimination Act as well as State and Territory racial vilification laws - impact of free speech cases on the content of the racial vilification defences.

Algebraic attacks over GF(q)

Recent algebraic attacks on LFSR-based stream ciphers and S-boxes have generated much interest as they appear to be extremely powerful. Theoretical work has been developed focusing around the Boo- lean function case. In this paper, we generalize this theory to arbitrary finite fields and extend the theory of annihilators and ideals introduced at Eurocrypt 2004 by Meier, Pasalic and Carlet. In particular, we prove that for any function f in the multivariate polynomial ring over GF(q), f has a low degree multiple precisely when two low degree functions appear in the same coset of the annihilator of f ^{q – 1} – 1. In this case, many such low degree multiples exist.

So far no good: the regulatory failure of criminal racial vilification laws in Australia

This article considers the efficacy of the two main legislative models in Australia which make racial vilification a crime. To this end, it considers whether the laws are compatible with the protection and promotion of freedom of speech; whether they sit comfortably within the existing criminal law frameworks; and whether the text of the offences is sufficiently clear and precise. It considers that the current models are fundamentally flawed and ought to be repealed, arguing, instead, for a particular kind of penalty enhancement statute.

Algebraic attacks on clock-controlled stream ciphers

We present an algebraic attack approach to a family of irregularly clock-controlled bit-based linear feedback shift register systems. In the general set-up, we assume that the output bit of one shift register controls the clocking of other registers in the system and produces a family of equations relating the output bits to the internal state bits. We then apply this general theory to four specific stream ciphers: the (strengthened) stop-and-go generator, the alternating step generator, the self-decimated generator and the step1/step2 generator. In the case of the strengthened stop-and-go generator and of the self-decimated generator, we obtain the initial state of the registers in a significantly faster time than any other known attack. In the other two situations, we do better than or as well as all attacks but the correlation attack. In all cases, we demonstrate that the degree of a functional relationship between the registers can be bounded by two. Finally, we determine the effective key length of all four systems.

Algebraic attacks on clock-controlled cascade ciphers

In this paper, we mount the first algebraic attacks against clock controlled cascade stream ciphers. We first show how to obtain relations between the internal state bits and the output bits of the Gollmann clock controlled cascade stream ciphers. We demonstrate that the initial states of the last two shift registers can be determined by the initial states of the others. An alternative attack on the Gollmann cascade is also described, which requires solving quadratic equations. We then present an algebraic analysis of Pomaranch, one of the phase two proposals to eSTREAM. A system of equations of maximum degree four that describes the full cipher is derived. We also present weaknesses in the filter functions of Pomaranch by successfully computing annihilators and low degree multiples of the functions.

Criminal laws in Australia : cases and materials

This book is the most user-friendly of all the criminal law books currently available in Australia. This is the only book that deals comprehensively with the criminal law in all Australian states and territories. Unlike the other criminal law books available to Australian law lecturers, it is both a casebook and textbook.

Criminal laws in Australia, cases and materials

Criminal Laws in Australia: Cases and Materials" deals comprehensively with the criminal law in all Australian states and territories and is both a casebook and textbook.