title: Comparison between the RSA cryptosystem and elliptic curve cryptography

authors: Abdullah, Kamilah

subjects: Cryptography

abstract: In the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc). This thesis provides an overview and comparison between the
RSA cryptosystem and elliptic curve cryptography, which both focus on sending and receiving messages. The basic theories of the RSA cryptosystem and elliptic curve cryptography are explored. The RSA cryptosystem and elliptic
curve cryptography theories are quite similar but elliptic curve cryptography is more complicated. The idea of the RSA cryptosystem is based on three
popular theorems which are Euler's Theorem, Fermat's Little Theorem and the Chinese Remainder Theorem. This discussion shows that the reliability and strong security of the RSA cryptosystem depends on the degree of dif-
ficulty of integer factorization. Therefore, methods for integer factorization are discussed. In addition I show how the security of elliptic curve cryptography depends on the apparent difficulty of solving the elliptic curve discrete
logarithm problem (ECDLP).

text: Comparison between the RSA cryptosystem and elliptic curve cryptography In the globalization era, cryptography becomes more popular and powerful; in fact it is very important in many areas (i.e. mathematics, computer science, networks, etc). This thesis provides an overview and comparison between the
RSA cryptosystem and elliptic curve cryptography, which both focus on sending and receiving messages. The basic theories of the RSA cryptosystem and elliptic curve cryptography are explored. The RSA cryptosystem and elliptic
curve cryptography theories are quite similar but elliptic curve cryptography is more complicated. The idea of the RSA cryptosystem is based on three
popular theorems which are Euler's Theorem, Fermat's Little Theorem and the Chinese Remainder Theorem. This discussion shows that the reliability and strong security of the RSA cryptosystem depends on the degree of dif-
ficulty of integer factorization. Therefore, methods for integer factorization are discussed. In addition I show how the security of elliptic curve cryptography depends on the apparent difficulty of solving the elliptic curve discrete
logarithm problem (ECDLP).

year: 2010

title: Development of a Method for Trace Analysis of Dioctyl Sodium Sulfosuccinate by Liquid Chromatography Mass Spectrometry and its Application to Samples from the MV Rena Incident

authors: Bernstein, Daniel Richard

subjects: Liquid chromatography

abstract: The grounding of the MV Rena off the coast of Tauranga, New Zealand in 2011 prompted the application of Corexit® oil spill dispersants in an attempt to mitigate the impact of the spilled oil to coastal ecosystems. A quantitative method was developed employing sonication assisted extraction from beach sand followed by sample clean up by solid phase extraction and analysis by liquid chromatography tandem mass spectrometry for the analysis of Corexit® component dioctyl sodium sulfosuccinate (DOSS) at trace levels. The chromatographic method included the use of a C8 stationary phase with a gradient elution and quantitation by an internal standard approach based on mass spectrometer instrument response. Validation studies gave recoveries of 72 ± 1.7% with an accuracy of 94%. Calibration curves were shown to have a linear range of 0 – 200 μg.L⁻¹. Application of the method to the available environmental samples showed no presence of DOSS.
An attempt was made to apply the instrumental method to heavy fuel oil (HFO) tar-balls and oiled sand samples. Multiple extraction techniques were trialled including liquid-liquid extraction, sonication assisted extraction and anion exchange chromatography with recovery experiments for each method being carried out. Analysis of the extracts showed that quantitative recovery of DOSS had not been achieved for any of the methods investigated.
The difficulties associated with extracting DOSS from HFO tar-balls and oil sands suggest that the application of DOSS to surface oil slicks results in the preferential partitioning of DOSS into HFO. This has implications with respect to the distribution of DOSS in the environment following application, subsequent environmental monitoring and the degradation of HFO components by microbial communities.

text: Development of a Method for Trace Analysis of Dioctyl Sodium Sulfosuccinate by Liquid Chromatography Mass Spectrometry and its Application to Samples from the MV Rena Incident The grounding of the MV Rena off the coast of Tauranga, New Zealand in 2011 prompted the application of Corexit® oil spill dispersants in an attempt to mitigate the impact of the spilled oil to coastal ecosystems. A quantitative method was developed employing sonication assisted extraction from beach sand followed by sample clean up by solid phase extraction and analysis by liquid chromatography tandem mass spectrometry for the analysis of Corexit® component dioctyl sodium sulfosuccinate (DOSS) at trace levels. The chromatographic method included the use of a C8 stationary phase with a gradient elution and quantitation by an internal standard approach based on mass spectrometer instrument response. Validation studies gave recoveries of 72 ± 1.7% with an accuracy of 94%. Calibration curves were shown to have a linear range of 0 – 200 μg.L⁻¹. Application of the method to the available environmental samples showed no presence of DOSS.
An attempt was made to apply the instrumental method to heavy fuel oil (HFO) tar-balls and oiled sand samples. Multiple extraction techniques were trialled including liquid-liquid extraction, sonication assisted extraction and anion exchange chromatography with recovery experiments for each method being carried out. Analysis of the extracts showed that quantitative recovery of DOSS had not been achieved for any of the methods investigated.
The difficulties associated with extracting DOSS from HFO tar-balls and oil sands suggest that the application of DOSS to surface oil slicks results in the preferential partitioning of DOSS into HFO. This has implications with respect to the distribution of DOSS in the environment following application, subsequent environmental monitoring and the degradation of HFO components by microbial communities.

year: 2015

title: Cultural justice, ethics and teaching

authors: Nairn, Ray

subjects: Maori

abstract: Te Tiriti o Waitangi provides both a basis for cultural justice in this society and an explication of the term; each of the articles identifying a significant aspect of cultural justice. First, there is the guarantee to the Maori signatories that the Crown would protect their independence - tino rangatiratanga, (also read as authority, autonomy or self-determination) [Article II]. In Article III Maori are promised that they will also have the “Rights and Privileges of British subjects”. Finally, in Article I, Maori cede to the Crown the right to govern, to make laws to protect all peoples from the evil consequences of lawlessness. The 1835 Declaration of Independence located legislative authority in the Wakaminenga (the gathered rangatira meeting in Congress); and in 1840, in the context of the Crown promises, Maori authorised the Crown to exercise that authority. For Maori Te Tiriti specifies cultural justice for interactions between Maori and settlers in the new society. Maori are guaranteed the right to self-determination (and the economic and social resources to make that practical) in their relations with New Zealand society. They are also entitled to the same opportunities as other citizens. The latter rights, embodied in local legislation and international covenants to which we are signatory, are not alternatives to the prior right of Maori people to their (cultural) autonomy. The exercise of legislative and organisational authority must be exercised in a manner consistent with the promises which clearly requires consultation and negotiation with Maori.

text: Cultural justice, ethics and teaching Te Tiriti o Waitangi provides both a basis for cultural justice in this society and an explication of the term; each of the articles identifying a significant aspect of cultural justice. First, there is the guarantee to the Maori signatories that the Crown would protect their independence - tino rangatiratanga, (also read as authority, autonomy or self-determination) [Article II]. In Article III Maori are promised that they will also have the “Rights and Privileges of British subjects”. Finally, in Article I, Maori cede to the Crown the right to govern, to make laws to protect all peoples from the evil consequences of lawlessness. The 1835 Declaration of Independence located legislative authority in the Wakaminenga (the gathered rangatira meeting in Congress); and in 1840, in the context of the Crown promises, Maori authorised the Crown to exercise that authority. For Maori Te Tiriti specifies cultural justice for interactions between Maori and settlers in the new society. Maori are guaranteed the right to self-determination (and the economic and social resources to make that practical) in their relations with New Zealand society. They are also entitled to the same opportunities as other citizens. The latter rights, embodied in local legislation and international covenants to which we are signatory, are not alternatives to the prior right of Maori people to their (cultural) autonomy. The exercise of legislative and organisational authority must be exercised in a manner consistent with the promises which clearly requires consultation and negotiation with Maori.

year: 1993