Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
A New Generic Digital Signature Algorithm, Jennifer Seberry, Vinhbuu To, Dongvu Tonien
A New Generic Digital Signature Algorithm, Jennifer Seberry, Vinhbuu To, Dongvu Tonien
Professor Jennifer Seberry
In this paper, we study two digital signature algorithms, the DSA and ECDSA, which have become NIST standard and have been widely used in almost all commercial applications. We will show that the two algorithms are actually ‘the same’ algebraically and propose a generic algorithm such that both DSA and ECDSA are instances of it. By looking at this special angle through the generic algorithm, we gain a new insight into the two algorithms DSA and ECDSA. Our new proposed digital signature algorithm is described generically using a group G and a map toNumber : G → Z. As an …
The Amicable-Kronecker Construction Of Quaternion Orthogonal Designs, Jennifer Seberry, Sarah S. Adams
The Amicable-Kronecker Construction Of Quaternion Orthogonal Designs, Jennifer Seberry, Sarah S. Adams
Professor Jennifer Seberry
Recently, quaternion orthogonal designs (QODs) were introduced as a mathematical construct with the potential for applications in wireless communications. The poten- tial applications require new methods for constructing QODs, as most of the known methods of construction do not produce QODs with the exact properties required for implementation in wireless systems. This paper uses real amicable orthogonal designs and the Kronecker product to construct new families of QODs. The proposed Amicable- Kronecker Construction can be applied to build quaternion orthogonal designs of a variety of sizes and types. Although it has not yet been simulated whether the result- ing designs …
Novel Constructions Of Improved Square Complex Orthogonal Designs For Eight Transmit Antennas, Le Chung Tran, Alfred Mertins, Jennifer Seberry, Tadeusz A. Wysocki, Sarah S. Adams
Novel Constructions Of Improved Square Complex Orthogonal Designs For Eight Transmit Antennas, Le Chung Tran, Alfred Mertins, Jennifer Seberry, Tadeusz A. Wysocki, Sarah S. Adams
Professor Jennifer Seberry
Constructions of square, maximum rate complex orthogonal space–time block codes (CO STBCs) are well known, however codes constructed via the known methods include numerous zeros, which impede their practical implementation. By modifying the Williamson and Wallis-Whiteman arrays to apply to complex matrices, we propose two methods of construction of square, order-4n CO STBCs from square, order-n codes which satisfy certain properties. Applying the proposed methods, we construct square, maximum rate, order-8 CO STBCs with no zeros, such that the transmitted symbols are equally dispersed through transmit antennas. Those codes, referred to as the improved square CO STBCs, have the advantages …
The Theory Of Quaternion Orthogonal Designs, Jennifer Seberry, K. Finlayson, S. Spense Adams, Tadeusz A. Wysocki, Tianbing Xia, Beata J. Wysocki
The Theory Of Quaternion Orthogonal Designs, Jennifer Seberry, K. Finlayson, S. Spense Adams, Tadeusz A. Wysocki, Tianbing Xia, Beata J. Wysocki
Professor Jennifer Seberry
Over the past several years, there has been a renewed interest in complex orthogonal designs for their application in space-time block coding. Motivated by the success of this application, this paper generalizes the definition of complex orthogonal designs by introducing orthogonal designs over the quaternion domain. This paper builds a theory of these novel quaternion orthogonal designs, offers examples, and provides several construction techniques. These theoretical results, along with the results of preliminary simulations, lay the foundation for developing applications of these designs as orthogonal space-time-polarization block codes.