Search results | J. Murrey Atkins Library

Title: Binary Edwards Curves in Elliptic Curve Cryptography
Author: Enos, Graham
Date Created: 2013
Description: Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is complete ...

Title: Binary Edwards Curves in Elliptic Curve Cryptography
Author: Enos, Graham
Date Created: 2013
Description: Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is complete ...

Title: Binary Edwards Curves in Elliptic Curve Cryptography
Author: Enos, Graham
Date Created: 2013
Subjects--Topical: Mathematics
Description: Edwards curves are a new normal form for elliptic curves that exhibit some cryptographically desirable properties and advantages over the typical Weierstrass form. Because the group law on an Edwards curve (normal, twisted, or binary) is complete ...

Title: Braid Indices in a Class of Closed Braids
Author: Hinson, Kenneth
Date Created: 2010
Description: A long-standing problem in knot theory concerns the additivity of crossing numbers of links under the connected sum operation. It is conjectured that if L₁ and L₂ are links, then Cr(L₁#L₂)=Cr(L₁)+Cr(L₂), but so far this has been proved only for ce...

Title: Braid Indices in a Class of Closed Braids
Author: Hinson, Kenneth
Date Created: 2010
Subjects--Topical: Mathematics
Description: A long-standing problem in knot theory concerns the additivity of crossing numbers of links under the connected sum operation. It is conjectured that if L₁ and L₂ are links, then Cr(L₁#L₂)=Cr(L₁)+Cr(L₂), but so far this has been proved only for ce...

Title: FRAME WAVELETS IN HIGH DIMENSION
Author: Huang, Wei
Date Created: 2016
Description: In this dissertation, the classic one dimension orthogonal wavelet construction scheme is discussed and extended to construct Parseval's frame wavelets in high dimension scenario. An iterative algorithm is developed to construct various Parseval's...

Title: FRAME WAVELETS IN HIGH DIMENSION
Author: Huang, Wei
Date Created: 2016
Subjects--Topical: Mathematics
Description: In this dissertation, the classic one dimension orthogonal wavelet construction scheme is discussed and extended to construct Parseval's frame wavelets in high dimension scenario. An iterative algorithm is developed to construct various Parseval's...

Title: Long Concavity of the Power Partition Function
Author: Benfield, Brennan
Date Created: 2020
Description: The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...

Title: Long Concavity of the Power Partition Function
Author: Benfield, Brennan
Date Created: 2020
Subjects--Topical: Mathematics
Description: The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...

Title: On the Structure and Invariants of Cubical Complexes
Author: Birdsong, Sarah
Date Created: 2013
Description: This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entr...

Title: On the Structure and Invariants of Cubical Complexes
Author: Birdsong, Sarah
Date Created: 2013
Subjects--Topical: Mathematics
Description: This dissertation introduces two new results for cubical complexes. The first is a simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entr...

Title: QUANTUM RESISTANT REED-MULLER CODES ON McELIECE CRYPTOSYSTEM
Author: Elder, Jasmine
Date Created: 2020
Description: Recently, Dr. Wang presented a new post quantum encryption scheme, Random Linear Code-Based Encryption scheme, RLCE, which is a variant to the McEliece encryption scheme. It is already well-known that the McEliece Encryption scheme based upon Reed...

Title: QUANTUM RESISTANT REED-MULLER CODES ON McELIECE CRYPTOSYSTEM
Author: Elder, Jasmine
Date Created: 2020
Subjects--Topical: Mathematics, Information science
Description: Recently, Dr. Wang presented a new post quantum encryption scheme, Random Linear Code-Based Encryption scheme, RLCE, which is a variant to the McEliece encryption scheme. It is already well-known that the McEliece Encryption scheme based upon Reed...

Title: STUDIES ON CORRELATED MUTATIONS ALGORITHMS OF PROTEINS PROVIDING STRUCTURAL, SPATIAL, AND ALLOSTERY INFORMATION FROM MULTIPLE SEQUENCE ALIGNMENTS
Author: Kreth, Kyle
Date Created: 2013
Description: Proteins provide innumerable cellular functions and benefits for all kingdoms in the domains of life. Advancements in the high throughput collection and analysis of proteins have led to ever-deeper understanding of biological pathways, evolution, ...

Title: STUDIES ON CORRELATED MUTATIONS ALGORITHMS OF PROTEINS PROVIDING STRUCTURAL, SPATIAL, AND ALLOSTERY INFORMATION FROM MULTIPLE SEQUENCE ALIGNMENTS
Author: Kreth, Kyle
Date Created: 2013
Subjects--Topical: Bioinformatics
Description: Proteins provide innumerable cellular functions and benefits for all kingdoms in the domains of life. Advancements in the high throughput collection and analysis of proteins have led to ever-deeper understanding of biological pathways, evolution, ...

Title: Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author: Fairchild, Michael
Date Created: 2015
Description: This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...

Title: Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author: Fairchild, Michael
Date Created: 2015
Description: This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...

Title: Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author: Fairchild, Michael
Date Created: 2015
Subjects--Topical: Mechanical engineering, Robotics, Mathematics
Description: This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...

Title: THE BRAID INDICES OF ALTERNATING LINKS
Author: Liu, Pengyu
Date Created: 2018
Description: It is well known in knot theory that any link can be represented by a closed braid and the braid index of a link is the invariant defined as the minimum number of strands in any closed braid representing the link. It is difficult in general to det...

Title: THE BRAID INDICES OF ALTERNATING LINKS
Author: Liu, Pengyu
Date Created: 2018
Subjects--Topical: Mathematics
Description: It is well known in knot theory that any link can be represented by a closed braid and the braid index of a link is the invariant defined as the minimum number of strands in any closed braid representing the link. It is difficult in general to det...