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(19, 9, 4) Hadamard designs and their residual designs

N.M Singhi
1974 Journal of combinatorial theory. Series A  
Bhat Nayak and Professor S. S. Shrikhande for their valuable suggestions during the preparation of this paper.  ...  (19,9, 4 ) HADAMARD DESIGNS AND THEIR RESIDUAL DESIGNS 251In fact the following map of treatments of &.  ...  We observe that among these twenty-one residual designs all except one are embeddable in a (up to isomorphism) unique (19, 9, 4) design.  ... 
doi:10.1016/0097-3165(74)90049-1 fatcat:ktdjsvhrdnfeppzxw3otbqjwje

Skew Hadamard designs and their codes

Jon-Lark Kim, Patrick Solé
2008 Designs, Codes and Cryptography  
Quadratic Residues codes are obtained in the case of the Paley matrix. Results on the p−rank of skew Hadamard designs are rederived in that way. Codes from skew Hadamard designs are classified.  ...  We study the codes spanned by their incidence matrices A and by I + A and show that they are self-dual after extension (resp. extension and augmentation) over fields of characteristic dividing n.  ...  Michael for providing reference [12] and to E. Spence for explaining his paper [21] . The first author acknowledges partial support by a Project Completion Grant from the University of Louisville.  ... 
doi:10.1007/s10623-008-9173-y fatcat:a2a5afytg5cxfdkcsc7guhr2da

Video coding using the H.264/MPEG-4 AVC compression standard

Atul Puri, Xuemin Chen, Ajay Luthra
2004 Signal processing. Image communication  
H.264/MPEG-4 AVC is a recently completed video compression standard jointly developed by the ITU-T VCEG and the ISO/IEC MPEG standards committees.  ...  Finally, we summarize our overview and analysis of this standard, by identifying, based on their performance, promising tools as well as options within various tools. r  ...  Wade Wan for their very helpful review of earlier drafts of the paper.  ... 
doi:10.1016/j.image.2004.06.003 fatcat:7a2rnyq2kvarnihga5gk4wfxt4

Non-isomorphic solutions of some balanced incomplete block designs. III

Vasanti N Bhat
1972 Journal of combinatorial theory. Series A  
) and to the series with parameters (4t + 4, 8t + 6, 4t + 3,2t + 2, 2t + 1) when t is even.  ...  In this paper we develop a method of testing non-isomorphism of solutions of balanced incomplete block designs (BIRD) belonging to the series of symmetric designs with the parameters (4t + 3, 2t + 1, t  ...  Hall for pointing out his complete enumeration of Hadamard matrices of order 20 which helped in getting more solutions to the designs of this paper.  ... 
doi:10.1016/0097-3165(72)90038-6 fatcat:extyakzl6zbjhmkohay6ohs5wu

Bounds on the Number of Affine, Symmetric, and Hadamard Designs and Matrices

Clement Lam, Sigmund Lam, Vladimir D. Tonchev
2000 Journal of combinatorial theory. Series A  
A similar method also improves the number of nonisomorphic Hadamard 2-(31, 15, 7) designs from 1, 266, 891 to 11, 727, 788 and the number of non-isomorphic Hadamard 2- (39, 19, 9) designs from 38 to 5.87  ...  By using the Paley design of order n=(q+1)Â4, q#3 (mod 4) a prime power, a lower bound for the number of Hadamard designs of order q+1 is also obtained.  ...  ACKNOWLEDGMENTS The author thanks Bill Kantor and Dieter Jungnickel for reading this paper and making several useful remarks.  ... 
doi:10.1006/jcta.2000.3060 fatcat:c2uzimw24jakvomaqqa42ykb74

Hardware design of a scalable and fast 2-D hadamard transform for HEVC video encoder

Heh Whit Ney, Ab Al-Hadi Ab Rahman, Ainy Haziyah Awab, Mohd Shahrizal Rusli, Usman Ullah Sheikh, Goh Kam Meng
2019 Indonesian Journal of Electrical Engineering and Computer Science  
<span>This paper presents the hardware design of a 2-dimensional Hadamard transform used the in the rate distortion optimization module in state-of-the-art HEVC video encoder.  ...  The design is synthesized and implemented on Xilinx Kintex Ultrascale FPGA.  ...  design of a scalable and fast 2-D hadamard transform for HEVC video encoder (Heh Whit Ney) 1407 Figure 8 .Figure 9 .Figure 10 . 8910 Maximum operating frequency of the Hadamard transform design Throughput  ... 
doi:10.11591/ijeecs.v15.i3.pp1401-1410 fatcat:seylk4biujhnfpumtzirnh547m

An Hadamard matrix of order 36

Noboru Ito, Jeffrey S Leon
1983 Journal of combinatorial theory. Series A  
The Hadamard matrix presented in this paper is probably the only Hadamard matrix which does not appear in the series and possesses a 2-transitive (on rows or columns) automorphism group.  ...  Their assistance is gratefully acknowledged.  ...  34 1 2 3 4 5 6 11 14 18 19 20 22 24 26 29 30 31 34 1 3 4 6 7 8 9 10 11 13 15 17 18 30 31 32 34 35 34 ' 34 This is the list of blocks of the Hadamard 3 design H, containing  ... 
doi:10.1016/0097-3165(83)90059-6 fatcat:j5va42ukjngjth2oal7u7iea5e

Inequivalence of Difference Sets: On a Remark of Baumert

Padraig Ó Catháin
2013 Electronic Journal of Combinatorics  
We extend his inequivalence statement to a general inequivalence result, for which we provide a complete and self-contained proof.  ...  We preface our proof with a survey of the four families of difference sets, since there seems to be some confusion in the literature between the cyclic and non-cyclic cases.  ...  The author acknowledges their support.  ... 
doi:10.37236/2277 fatcat:otihmpn7gbeafprfv2qvcan2hy

Page 268 of Mathematical Reviews Vol. 50, Issue 2 [page]

1975 Mathematical Reviews  
M. (19, 9, 4) Hadamard designs and their residual designs. J. Combinatorial Theory Ser. A 16 (1974), 241-252. M.  ...  The present author shows that these are the only non-isomorphic solutions of (19, 9, 4) designs, that they are self-dual, and that they give rise to twenty- one mutually non-isomorphic residual designs  ... 

Paley and the Paley graphs [article]

Gareth A. Jones
2017 arXiv   pre-print
This paper discusses some aspects of the history of the Paley graphs and their automorphism groups.  ...  If m ≥ 4 there are m − 1 points and blocks, each block has size (m − 2)/2, and any two blocks have (m − 4)/4 points in common. A block design with these properties is called a Hadamard design.  ...  Hadamard matrices and designs Here we briefly discuss Hadamard matrices and designs, mentioned in the preceding section.  ... 
arXiv:1702.00285v1 fatcat:d6kuccqyrzanjhavjkardxoho4

Some symmetric (47,23,11) designs

Dean Crnkovic
2003 Glasnik Matematicki - Serija III  
From these fifty-four designs one can construct 179 pairwise nonisomorphic 2-(23,11,10) designs as derived and 191 pairwise nonisomorphic 2-(24,12,11) designs as residual designs.  ...  We have determined full automorphism groups of all constructed designs.  ...  derived and residual designs.  ... 
doi:10.3336/gm.38.1.01 fatcat:6rmy6jrqdvclvglch6lql5t3vi

Neural Architecture Based on Hadamard Designs

Alan Herbert
2012 Open Neuroscience Journal  
We describe a simple Hadamard design for neural architecture with an equal number of input and output elements that is both error-tolerant and robust to missing information.  ...  The underlying co-prime arrays can be generated in a simple manner biologically and can evolve into more complex designs.  ...  Riley for a critical reading and Simon Kasif AND Richard Beigel for helpful discussions.  ... 
doi:10.2174/1874082001206010001 fatcat:owq7w5uba5cq5ijiru472veut4

General constructions of c-Bhaskar Rao designs and the (c,λ) spectrum of a c-BRD(v,k,λ)

Malcolm Greig, Spencer P. Hurd, Dinesh G. Sarvate
2004 Discrete Mathematics  
For example, we use di erent families and their properties in various ways to obtain natural signings of BIBDs in order to construct c-BRDs.  ...  We investigate the extreme possibilities for c relative to , and k relative to v, and prove the non-existence of an inÿnite series of designs.  ...  Example 2 . 2 A 0-BRD(19; 4; 2) over Z 19 . Here the base blocks of F are {0; 1; 7; 11}; {0; 2; 14; 3}; {0; 4; 9; 6}: Example 3 . 3 A (−1)-BRD(15; 6; 5) over (Z 7 × I 2 ) ∪ {∞}.  ... 
doi:10.1016/s0012-365x(03)00081-5 fatcat:z2b6gxcodvbnndzlczyenra4ju

An efficient H.264 intra frame coder system

Ilker Hamzaoglu, Ozgur Tasdizen, Esra Sahin
2008 IEEE transactions on consumer electronics  
The system achieves real-time performance for portable applications with low hardware cost, and it includes a novel intra prediction hardware design.  ...  The Verilog RTL code works at 71 MHz in a Xilinx Virtex II FPGA and it code 35 CIF frames (352x288) per second.  ...  They use four reconfigurable datapaths, which include 12 adders, 16 multiplexers, 4 shifters and 4 clippers, in their intra prediction hardware design.  ... 
doi:10.1109/tce.2008.4711252 fatcat:rgfdbpsylffdlcdsqja6defygi

Improved Alamouti STBC Multi-Antenna System Using Hadamard Matrices

K. O. O. Anoh, O. Ochonogor, R. A. A. Abd-Alhameed, S. M. R. Jones, T. T. Mapuka
2014 International Journal of Communications, Network and System Sciences  
Both the traditional Hadamard OSTBC and the conventional STBC are compared with the Alamouti-Hadamard STBC.  ...  At first, the OSTBC design is extended to include Hadamard matrix, referred to in this work, as traditional Hadamard OSTBC.  ...  Notice that Equations ( 4 ) and (19) form, independently, orthogonal codes.  ... 
doi:10.4236/ijcns.2014.73010 fatcat:5f6ypxobnvczxgqeastu7ycqni
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