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Physical Sciences and Mathematics Commons

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Mathematics

Theses/Dissertations

2016

Algorithms

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Full-Text Articles in Physical Sciences and Mathematics

Some Contemporary Issues In Software Reliability., Vignesh Subrahmaniam Dr. Oct 2016

Some Contemporary Issues In Software Reliability., Vignesh Subrahmaniam Dr.

Doctoral Theses

No abstract provided.


Partitions Of Finite Frames, James Michael Rosado May 2016

Partitions Of Finite Frames, James Michael Rosado

Theses and Dissertations

An open question stated by Marcus, Spielman, and Srivastava [10] asks "whether one can design an efficient algorithm to find the partitions guaranteed by Corollary 1.5." This corollary states that given a set of vectors in C whose outer products sum to the identity there exists a partition of these vectors such that norms of the outer-product sums of each subset satisfy an inequality bound. Here particular types of vector sets called finite frames are analyzed and constructed to satisfy the inequality described in Corollary 1.5. In this thesis, rigorous proofs and formulations of outer-product norms are utilized to find …


Digital Circles And Balls: Characterization, Properties, And Applications To Image Analysis., Sahadev Bera Dr. Feb 2016

Digital Circles And Balls: Characterization, Properties, And Applications To Image Analysis., Sahadev Bera Dr.

Doctoral Theses

In this thesis, we have reported some new theoretical findings, empirical formulations, useful heuristics, and efficient algorithms related to digital circle, digital disc, and digital sphere, along with their practical applications to the analysis of geometric information embedded in a digital image. Detecting digital circles and circular arcs from a digital image is very important in shape recognition. Several image processing techniques were proposed over the years to extract circles and circular arc from a digital image and to interpret related issues. We have proposed a novel technique for the segmentation of a digital circle, which is based on a …


Some Results On Analysis And Implementation Of Hc-128 Stream Cipher., Shashwat Raizada Dr. Jan 2016

Some Results On Analysis And Implementation Of Hc-128 Stream Cipher., Shashwat Raizada Dr.

Doctoral Theses

The HC-128 stream cipher is a successful entrant in the eStream candidate list (software profile) and is the lighter variant of HC-256 stream cipher. Apart from the analysis by the designer of the cipher (Hongjun Wu) to conjecture the security of this cipher, there are only a few other observations on this cipher despite being the focus of researchers during the three phases of eStream evaluation and later efforts in the community. Till date none of the security claims in favor of HC-128 by the designer could be broken. One may expect HC-128 stream cipher to be popular in commercial …