Articles
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The Theory of Quaternion Orthogonal Designs (with K. Finlayson, S. Spense Adams, T. A. Wysocki, T. Xia, and B. J. Wysocki), Faculty of Informatics - Papers (2008)
Over the past several years, there has been a renewed interest in complex orthogonal designs...
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C. Koukouvinos, M. Mitrouli and Jennifer Seberry, in "Growth in Gaussian elimination for weighing matrices,...
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In this paper we prove that there exist 4—{k2; ˝k(k–1); k(k–2)} SDS, regular Hadamard matrices...
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We show that if G is a finite Abelian group and the block size is...
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In a large system, XML documents associated with it can be large and complicated. To...
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We investigate subsets of critical sets of some Youden squares in the context of secret...
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We consider the Youden square formed by deleting one row of a v x v...
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Computational Algebra methods have been used successfully in various problems in many fields of Mathematics....
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We apply Computational Algebra methods to the construction of Hadamard matrices with two circulant cores,...
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New amicable orthogonal designs AODs(8; 1; 1; 1; 2; 2; 2), AODs(8; 1; 1; 4;...
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We study nega-cyclic ±1 matrices. We obtain preliminary results which are then used to decrease...
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For every prime power q ≡ 7 mod 16, we obtain the (q; a, b,...
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Some new amicable orthogonal designs of order 8 are found as part of a complete...
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C. Koukouvinos, M. Mitrouli and Jennifer Seberry, in "Growth in Gaussian elimination for weighing matrices,...
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We introduce a construction technique for generalized complex linear processing orthogonal designs, which are p...
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An exposure property of block designs (with Y. Wang, B. J. Wysocki, T. A. Wysocki, L. C. Tran, Y. Zhao, and T. Xia), Faculty of Informatics - Papers (2005)
An exposure property of block designs is defined and investigated in this paper. The families...
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In this paper we construct an infinite family of Goethals-Seidel arrays and prove the theorem:...
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To date investigations on critical sets for a set of mutually orthogonal latin squares (MOLS)...
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To date very few results are known on the critical sets for a set of...
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On Orthogonal Designs in Order 48 (with W. H. Holzmann, H Kharaghani, and B. Tayfeh-Rezaie), Faculty of Informatics - Papers (2005)
We show that all 3164 possible OD(48; s1, s2,s3) exist. In addition to the use...
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We obtain explicit formulae for the values of the 2v - j minors, j =...
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For every prime power q = 3 (mod 8) we prove the existence of (q;...
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Modern communications systems are heavily reliant on statistical techniques to recover information in the presence...
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Two new constructions of complex orthogonal space-time block codes of order 8 based on the...
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We extend our earlier work on ways in which defining sets of combinatorial designs can...
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We prove that homogeneous bent functions f : GF(2)2n —> GF(2) of degree n do...
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We study the use of negacyclic matrices to form orthogonal designs and hence Hadamard matrices....
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H. Kharaghani, in "Arrays for orthogonal designs", J. Combin. Designs, 8 (2000), 166-173, showed how...
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Generalized orthogonal designs (with S. Georgiou and C. Koukouvinos), Faculty of Informatics - Papers (2004)
Orthogonal designs and their special cases such as weighing matrices and Hadamard matrices have many...
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Two new constructions of complex orthogonal space-time block codes of order 8 based on the...
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Forensic Computing (with X. Li), Faculty of Informatics - Papers (2003)
Technology is rapidly changing the speed and manner in which people interact with each other...
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de Launey and Seberry have looked at the existence of Generalized Bhaskar Rao designs with...
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We use generator matrices G satisfying GGT = aI+bJ over Zk to obtain linear self-orthogonal...
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In this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
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An algorithm computing the (n — j) x (n — j ) , j =...
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Abstract. We present our further observations on the structure of the AES algorithm relating to...
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We use an array given in H. Kharaghani, Arrays for orthogonal designs, J. Combin. Designs,...
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When k = q1, q2, q1q2, q1q4, q2q3N, q3q4N, q1, q2 and q3 are prime...
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In this paper we give a general theorem which can be used to multiply the...
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We consider families of linear self-orthogonal and self-dual codes over the ring Z4 which are...
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We use a new algorithm to find new sets of sequences with entries from {0,...
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We establish that the necessary conditions for the existence of Bhaskar Rao designs of block...
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We describe the implementation of a distributed computer search that uses Williamson's construction for Hadamard...
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We show that the equivalence class of Sylvester Hadamard matrices give an infinite family of...
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Short Amicable Sets (with S. Georgiou and C. Koukouvinos), Faculty of Informatics - Papers (2002)
Abstract: A pair of matrices X and Y are said to be amicable if XYT...
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The Zheng-Seberry (ZS) encryption scheme was published in 1993 and was one of the first...
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We generalize a method inspired by Kharaghani and Holzmann to obtain infinite families of 6-variables...
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Call four type 1 (1, -1) matrices, X1, X2, X3, X4, of the same group...
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We introduce Legendre sequences and generalised Legendre pairs (GL-pairs). We show how to construct a...
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We give two new D-optimal designs of order 110.
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We show how to construct infinite families of sequences that have one and two valued...
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Let A = {a0, ... aℓ-1 }, B = {b0, . . . , bℓ-1...
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We present a new algorithm for computer searches for orthogonal designs. Then we use this...
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We give an algorithm to obtain formulae and values for minors of Hadamard matrices. One...
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In this paper we study explicitly the pivot structure of Hadamard matrices of small orders...
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Short amicable sets were introduced recently and have many applications. The construction of short amicable...
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We obtain explicit formulae for the values of the v j minors, j = 0,...
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We obtain explicit formulae for the values of the 2v — j minors, j =...
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We prove that cubic homogeneous bent functions f : V2n → GF(2) exist for all...
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Given an F-square of some type F(n; αo, αl, ..., αv-1) what critical set sizes...
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Security of ordinary digital signature schemes relies on a computational assumption. Fail-stop signature schemes provide...
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We suppose the Hadamard conjecture is true and an Hadamard matrix of order 4t, exists...
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We consider the values for large minors of a skew-Hadamard matrix or conference matrix W...
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Homogeneous Bent Functions (with C. Qu and J. Pieprzyk), Faculty of Informatics - Papers (2000)
This paper discusses homogeneous bent functions. The space of homogeneous functions of degree three in...
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We establish the notions of influence, power and strong box in the critical sets of...
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In our recent paper Necessary and sufficient conditions for some two variable orthogonal designs in...
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We give new sets of sequences with entries from {0, ±a, ±b, ±c} on the...
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We present one way in which combinatorial designs can be used to give conditionally perfect...
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We define the notions of nest and influence of a subset of a critical set...
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Recently K. T. Arasu (personal communication) and Yoseph Strassler, in his PhD thesis, The Classification...
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On F-Squares and their Critical Sets (with L. F. Fitina and D. Sarvate), Faculty of Informatics - Papers (1999)
We define the notion of critical set of an F-square, following the definition of critical...
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The book, Orthogonal Designs: Quadratic Forms and Hadamard Matrices, Marcel Dekker, New York-Basel, 1979, by...
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Algebraic techniques are employed to obtain necessary conditions for the existence of certain circulant weighing...
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We give new constructions for regular group divisible designs, pairwise balanced designs, generalized Bhaskar Rao...
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In this paper we show that BIBD(v, b, r, k, λ), where v = pq...
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We give a new algorithm which allows us to construct new sets of sequences with...
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We discuss difference sets (DS) and supplementary difference sets (SDS) over rings. We survey some...
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We prove a theorem for BRD(10,5,Lambda)s and give thirteen (13) inequivalent BRD(10,5,4)s.
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Secret sharing schemes are one of the most important primitives in distributed systems. In perfect...
Contributions to Books
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This paper presents a new family of complex spreading sequences designed using mutually orthogonal(MO) complementary...
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Golay complementary sequences, often referred to as Golay pairs, are characterised by the property that...
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We discuss algorithms for the construction of Hadamard matrices. We include discussion of construction using...
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Crypto Topics And Applications I (with C. Charnes, J. Pieprzyk, and R. Safavi-Naini), Faculty of Informatics - Papers (1999)
In this chapter we discuss four related areas of cryptology, namely: Authentication, Hashing, Message Authentication...
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Crypto Topics And Applications II (with C. Charnes, J. Pieprzyk, and R. Safavi-Naini), Faculty of Informatics - Papers (1999)
In this chapter we continue our exposition of the crypto topics which was begun in...
Presentations
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ALPHA-MAC is a MAC function which uses the building blocks of AES. This paper studies...
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Combinatorial designs are very effective tools for managing keys in an infrastructure where power and...
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With ubiquitous computer use and networking, concerns about security breaches have intensified. However the human...
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We propose an access control scheme for developing authorization rules for XML documents, allowing flexible...
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As one of the most popular information safeguarding mechanisms, access control is widely deployed in...
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Constructions of square, maximum rate Complex Orthogonal Space-Time Block Codes (CO STBCs) are well known,...
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The access control mechanisms are critical to ensure security in XML (eXtensible Markup Language). Several...
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We introduce orthogonal designs with quaternion elements and show their existence. In future work we...
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Although the generation of correlated Rayleigh fading envelopes has been intensively considered in the literature,...
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Py (pronounced Roo, a shorthand for Kangaroo) is a new stream cipher designed especially for...
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Although generation of correlated Rayleigh fading envelopes has been intensively considered in the literature, all...
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This paper surveys the security of the message integrity code used in the IEEE802.11 Wireless...
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The paper deals with the novel technique of designing complex spreading sequences with only four...
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Combinatorial Constructions of 3- and 4-Secure Codes (with Y. Wang, B. J. Wysocki, T. A. Wysocki, W. Susilo, T. Xia, Y. Zhao, and L. C. Tran), Faculty of Informatics - Papers (2003)
In this paper, 3- and 4-secure codes are constructed from combinatorial designs. Both constant weight...
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Personal Digital Assistants (PDAs) have become one of the important tools in our life. Their...
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Recently, handheld devices have become one of the most popular computing tools. Although handheld devices...
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The work studies highly nonlinear Boolean functions in GF2n+1(2), i.e. for the dimensions where bent...
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Personal Digital Assistants (PDAs) are the miniature of normal size PCs, with a very limited...
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Golay complementary sequences, often referred to as Golay pairs, are characterised by the property that...
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In this paper, we suggest a new method for cryptanalysis of the basic structures of...
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The British Regulations of Investigatory Powers (RIP) Act 2000 is one of the first modern...
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In this paper we give a general theorem which can be used to multiply the...
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The work is concerned with identification of bad signatures in a sequence which is validated...
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Identification of Bad Signatures in Batches (with J. Pastuszak, D. Michalek, and J. Pieprzyk), Faculty of Informatics - Papers (2000)
The paper addresses the problem of bad signature identification in batch verification of digital signatures....
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We use the Web Spoofing attack reported by Cohen and also the Secure Internet Programming...
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With equitable key escrow the control of society over the individual and the control of...
