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Journal articles on the topic 'Self-orthogonal'

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Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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1

BASSA, Alp, and Nesrin TUTAŞ. "Extending self-orthogonal codes." TURKISH JOURNAL OF MATHEMATICS 43, no. 5 (September 28, 2019): 2177–82. http://dx.doi.org/10.3906/mat-1905-103.

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2

Stojaković, Zoran, and Djura Paunić. "Self-orthogonal cyclicn-quasigroups." Aequationes Mathematicae 29, no. 1 (December 1985): 320–21. http://dx.doi.org/10.1007/bf02189840.

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3

Stojaković, Zoran, and Djura Paunić. "Self-orthogonal cyclicn-quasigroups." Aequationes Mathematicae 30, no. 1 (December 1986): 252–57. http://dx.doi.org/10.1007/bf02189931.

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4

Bennett, F. E., H. Zhang, and L. Zhu. "Holey self-orthogonal Latin squares with symmetric orthogonal mates." Annals of Combinatorics 1, no. 1 (December 1997): 107–18. http://dx.doi.org/10.1007/bf02558468.

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5

Bennett, F. E., H. Zhang, and L. Zhu. "Self-orthogonal mendelsohn triple systems." Journal of Combinatorial Theory, Series A 73, no. 2 (February 1996): 207–18. http://dx.doi.org/10.1016/s0097-3165(96)80002-1.

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6

Heinrich, Katherine, and L. Zhu. "Incomplete self-orthogonal latin squares." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 42, no. 3 (June 1987): 365–84. http://dx.doi.org/10.1017/s1446788700028640.

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AbstractWe show that for all n ≥ 3k + 1, n ≠ 6, there exists an incomplete self-orthogonal latin square of order n with an empty order k subarray, called an ISOLS(n;k), except perhaps when (n;k) ∈ {(6m + i;2m):i = 2, 6}.

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7

Durğun, Yilmaz. "Extended maximal self-orthogonal codes." Discrete Mathematics, Algorithms and Applications 11, no. 05 (October 2019): 1950052. http://dx.doi.org/10.1142/s1793830919500526.

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Self-dual and maximal self-orthogonal codes over [Formula: see text], where [Formula: see text] is even or [Formula: see text](mod 4), are extensively studied in this paper. We prove that every maximal self-orthogonal code can be extended to a self-dual code as in the case of binary Golay code. Using these results, we show that a self-dual code can also be constructed by gluing theory even if the sum of the lengths of the gluing components is odd. Furthermore, the (Hamming) weight enumerator [Formula: see text] of a self-dual code [Formula: see text] is given in terms of a maximal self-orthogonal code [Formula: see text], where [Formula: see text] is obtained by the extension of [Formula: see text].

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8

Horton, J. D., and G. M. Nonay. "Self-orthogonal Hamilton path decompositions." Discrete Mathematics 97, no. 1-3 (December 1991): 251–64. http://dx.doi.org/10.1016/0012-365x(91)90441-4.

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9

Afsarinejad, K. "Self orthogonal Knut Vik designs." Statistics & Probability Letters 4, no. 6 (October 1986): 289. http://dx.doi.org/10.1016/0167-7152(86)90046-5.

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10

Crnković, Dean, Ronan Egan, and Andrea Švob. "Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices." Finite Fields and Their Applications 55 (January 2019): 64–77. http://dx.doi.org/10.1016/j.ffa.2018.09.002.

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11

Beiliang, Du. "Constructing self-conjugate self-orthogonal diagonal latin squares." Acta Mathematicae Applicatae Sinica 14, no. 3 (July 1998): 324–27. http://dx.doi.org/10.1007/bf02677413.

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12

Bouyuklieva, Stefka. "Some optimal self-orthogonal and self-dual codes." Discrete Mathematics 287, no. 1-3 (October 2004): 1–10. http://dx.doi.org/10.1016/j.disc.2004.06.010.

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13

Wassermann, Alfred, and Axel Kohnert. "Construction of self-orthogonal linear codes." Electronic Notes in Discrete Mathematics 27 (October 2006): 105. http://dx.doi.org/10.1016/j.endm.2006.08.077.

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14

Huang, Zhaoyong, and Gaohua Tang. "Self-orthogonal modules over coherent rings." Journal of Pure and Applied Algebra 161, no. 1-2 (July 2001): 167–76. http://dx.doi.org/10.1016/s0022-4049(00)00109-2.

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15

Fang, Xiaolei, Meiqing Liu, and Jinquan Luo. "New MDS Euclidean Self-Orthogonal Codes." IEEE Transactions on Information Theory 67, no. 1 (January 2021): 130–37. http://dx.doi.org/10.1109/tit.2020.3020986.

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16

Xu*, Yun Qing, and Han Tao Zhang**. "Frame Self-orthogonal Mendelsohn Triple Systems." Acta Mathematica Sinica, English Series 20, no. 5 (June 21, 2004): 913–24. http://dx.doi.org/10.1007/s10114-004-0370-y.

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17

Pott, Alexander. "A note on self-orthogonal codes." Discrete Mathematics 76, no. 3 (1989): 283–84. http://dx.doi.org/10.1016/0012-365x(89)90327-0.

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18

Fu, Wenqing, and Tao Feng. "On self-orthogonal group ring codes." Designs, Codes and Cryptography 50, no. 2 (July 2, 2008): 203–14. http://dx.doi.org/10.1007/s10623-008-9224-4.

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19

Zhang, Hantao. "25 newr-self-orthogonal Latin squares." Discrete Mathematics 313, no. 17 (September 2013): 1746–53. http://dx.doi.org/10.1016/j.disc.2013.04.021.

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20

Bennett, Frank E., and Hantao Zhang. "Latin Squares with Self-Orthogonal Conjugates." Discrete Mathematics 284, no. 1-3 (July 2004): 45–55. http://dx.doi.org/10.1016/j.disc.2003.11.022.

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21

Harada, Masaaki, and Patric R. J. Östergård. "Self-dual and maximal self-orthogonal codes over F7." Discrete Mathematics 256, no. 1-2 (September 2002): 471–77. http://dx.doi.org/10.1016/s0012-365x(02)00389-8.

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22

Bennett, F. E., B. Du, and H. Zhang. "Existence of self-conjugate self-orthogonal diagonal latin squares." Journal of Combinatorial Designs 6, no. 1 (1998): 51–62. http://dx.doi.org/10.1002/(sici)1520-6610(1998)6:1<51::aid-jcd4>3.0.co;2-v.

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23

Ho, Peter K. H., Robert W. Filas, David Abusch-Magder, and Zhenan Bao. "Orthogonal Self-Aligned Electroless Metallization by Molecular Self-Assembly." Langmuir 18, no. 25 (December 2002): 9625–28. http://dx.doi.org/10.1021/la0260988.

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24

Hartmann, Sven, and Uwe Leck. "Self-orthogonal decompositions of graphs into matchings." Electronic Notes in Discrete Mathematics 23 (November 2005): 5–11. http://dx.doi.org/10.1016/j.endm.2005.06.102.

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25

Hosono, Nobuhiko, Martijn A. J. Gillissen, Yuanchao Li, Sergei S. Sheiko, Anja R. A. Palmans, and E. W. Meijer. "Orthogonal Self-Assembly in Folding Block Copolymers." Journal of the American Chemical Society 135, no. 1 (December 27, 2012): 501–10. http://dx.doi.org/10.1021/ja310422w.

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26

Cho, J. H., S. Hu, and D. H. Gracias. "Self-assembly of orthogonal three-axis sensors." Applied Physics Letters 93, no. 4 (July 28, 2008): 043505. http://dx.doi.org/10.1063/1.2965616.

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27

Zolotarev, V. V., G. V. Ovechkin, and P. V. Ovechkin. "EFFECTIVE MULTITHRESHOLD DECODERS FOR SELF-ORTHOGONAL CODES." Vestnik of Ryazan State Radio Engineering University 60 (2017): 113–22. http://dx.doi.org/10.21667/1995-4565-2017-60-2-113-122.

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28

Wu, Jun, and Wenting Tong. "On Duality Relative to Self-orthogonal Bimodules." Algebra Colloquium 12, no. 02 (June 2005): 319–32. http://dx.doi.org/10.1142/s1005386705000313.

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Let R be a left and right Noetherian ring and RωR a faithfully balanced self-orthogonal bimodule. We introduce the notions of special embeddings and modules of ω-D-class n, and then give some characterizations of them. As an application, we study the properties of RωR with finite injective dimension. Our results extend the main results in [4].

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29

Harriman, Anthony, James P. Rostron, Michèle Cesario, Gilles Ulrich, and Raymond Ziessel. "Electron Transfer in Self-Assembled Orthogonal Structures." Journal of Physical Chemistry A 110, no. 26 (July 2006): 7994–8002. http://dx.doi.org/10.1021/jp054992c.

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30

Maroni, P., and M. Ihsen Tounsi. "The second-order self-associated orthogonal sequences." Journal of Applied Mathematics 2004, no. 2 (2004): 137–67. http://dx.doi.org/10.1155/s1110757x04402058.

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The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of classs≤3. The characteristic elements of the structure relation and of the second-order differential equation are given explicitly. Integral representations of the corresponding forms are also given. A striking particular case is the case of the so-called electrospheric polynomials.

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31

Feng, Xiangyu, and Zhaoyong Huang. "Self-Orthogonal Modules of Finite Projective Dimension." Communications in Algebra 37, no. 5 (May 6, 2009): 1700–1708. http://dx.doi.org/10.1080/00927870802210043.

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32

Cohen, Stephen D., and Philip A. Leonard. "Biquadratic Residues and Self-Orthogonal 2-Sequencings." Rocky Mountain Journal of Mathematics 25, no. 4 (December 1995): 1225–42. http://dx.doi.org/10.1216/rmjm/1181072143.

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33

Nakasora, Hiroyuki. "A construction of non self-orthogonal designs." Discrete Mathematics 306, no. 1 (January 2006): 147–52. http://dx.doi.org/10.1016/j.disc.2005.11.011.

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34

Xu, Yunqing, and Yanxun Chang. "Existence of r-self-orthogonal Latin squares." Discrete Mathematics 306, no. 1 (January 2006): 124–46. http://dx.doi.org/10.1016/j.disc.2005.11.012.

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35

Tonchev, Vladimir D. "Generalized weighing matrices and self-orthogonal codes." Discrete Mathematics 309, no. 14 (July 2009): 4697–99. http://dx.doi.org/10.1016/j.disc.2008.05.036.

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36

Anderson, B. A., and P. A. Leonard. "A class of self-orthogonal 2-sequencings." Designs, Codes and Cryptography 1, no. 2 (June 1991): 149–81. http://dx.doi.org/10.1007/bf00157619.

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37

Qian, Kaiyan, Shixin Zhu, and Xiaoshan Kai. "On cyclic self-orthogonal codes over Z2m." Finite Fields and Their Applications 33 (May 2015): 53–65. http://dx.doi.org/10.1016/j.ffa.2014.11.005.

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38

Zhang, Xiyong, Weiwei Huang, Quanmei Chu, and Wenbao Han. "Trace self-orthogonal relations of normal bases." Finite Fields and Their Applications 35 (September 2015): 284–317. http://dx.doi.org/10.1016/j.ffa.2015.05.003.

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39

Ding, Yang. "Asymptotic bound on binary self-orthogonal codes." Science in China Series A: Mathematics 52, no. 4 (April 2009): 631–38. http://dx.doi.org/10.1007/s11425-008-0133-9.

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40

Chigira, Naoki, Masaaki Harada, and Masaaki Kitazume. "Permutation groups and binary self-orthogonal codes." Journal of Algebra 309, no. 2 (March 2007): 610–21. http://dx.doi.org/10.1016/j.jalgebra.2006.06.001.

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41

Arada, Gerald Pacaba. "A Study on Input Impedance and Self/Mutual Impedances of Orthogonal Crossed Circular Loops." Journal of Advanced Research in Dynamical and Control Systems 12, SP8 (July 30, 2020): 1062–72. http://dx.doi.org/10.5373/jardcs/v12sp8/20202619.

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42

Singh, Abhay Kumar, Narendra Kumar, and Kar Ping Shum. "Cyclic self-orthogonal codes over finite chain ring." Asian-European Journal of Mathematics 11, no. 06 (December 2018): 1850078. http://dx.doi.org/10.1142/s179355711850078x.

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In this paper, we study the cyclic self-orthogonal codes over a finite commutative chain ring [Formula: see text], where [Formula: see text] is a prime number. A generating polynomial of cyclic self-orthogonal codes over [Formula: see text] is obtained. We also provide a necessary and sufficient condition for the existence of nontrivial self-orthogonal codes over [Formula: see text]. Finally, we determine the number of the above codes with length [Formula: see text] over [Formula: see text] for any [Formula: see text]. The results are given by Zhe-Xian Wan on cyclic codes over Galois rings in [Z. Wan, Cyclic codes over Galois rings, Algebra Colloq. 6 (1999) 291–304] are extended and strengthened to cyclic self-orthogonal codes over [Formula: see text].

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43

Sahni, Amita, and Poonam Trama Sehgal. "Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields." Journal of Discrete Mathematics 2014 (November 12, 2014): 1–7. http://dx.doi.org/10.1155/2014/985387.

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Necessary and sufficient conditions for the existence of Hermitian self-orthogonal constacyclic codes of length n over a finite field Fq2, n coprime to q, are found. The defining sets and corresponding generator polynomials of these codes are also characterised. A formula for the number of Hermitian self-orthogonal constacyclic codes of length n over a finite field Fq2 is obtained. Conditions for the existence of numerous MDS Hermitian self-orthogonal constacyclic codes are obtained. The defining set and the number of such MDS codes are also found.

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44

SHARIF, M., and SEHAR AZIZ. "KINEMATIC SELF-SIMILAR CYLINDRICALLY SYMMETRIC SOLUTIONS." International Journal of Modern Physics D 14, no. 09 (September 2005): 1527–43. http://dx.doi.org/10.1142/s0218271805007115.

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This paper is devoted to find out cylindrically symmetric kinematic self-similar perfect fluid and dust solutions. We study the cylindrically symmetric solutions which admit kinematic self-similar vectors of second, zeroth and infinite kinds, not only for the tilted fluid case but also for the parallel and orthogonal cases. It is found that the parallel case gives contradiction both in the perfect fluid and dust cases. The orthogonal perfect fluid case yields a vacuum solution while the orthogonal dust case gives contradiction. It is worth mentioning that the tilted case provides solution both for the perfect as well as dust cases.

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45

Sharif, M., and Javaria Zanub. "Parallel and Orthogonal Cylindrically Symmetric Self-Similar Solutions." Journal of the Korean Physical Society 54, no. 4 (April 15, 2009): 1373–79. http://dx.doi.org/10.3938/jkps.54.1373.

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46

Hu, Xiao-Yu, Tangxin Xiao, Chen Lin, Feihe Huang, and Leyong Wang. "Dynamic Supramolecular Complexes Constructed by Orthogonal Self-Assembly." Accounts of Chemical Research 47, no. 7 (May 29, 2014): 2041–51. http://dx.doi.org/10.1021/ar5000709.

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47

Dzhumalieva-Stoeva, M., I. G. Bouyukliev, and V. Monev. "Construction of self-orthogonal codes from combinatorial designs." Problems of Information Transmission 48, no. 3 (July 2012): 250–58. http://dx.doi.org/10.1134/s0032946012030052.

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48

Li, Shao-Lu, Tangxin Xiao, Chen Lin, and Leyong Wang. "Advanced supramolecular polymers constructed by orthogonal self-assembly." Chemical Society Reviews 41, no. 18 (2012): 5950. http://dx.doi.org/10.1039/c2cs35099h.

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49

Su, Juan, and Ming-Liang Chen. "Orthogonal exponentials of self-affine measures on ℝn." International Journal of Mathematics 31, no. 08 (June 23, 2020): 2050063. http://dx.doi.org/10.1142/s0129167x20500639.

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Let the self-affine measure [Formula: see text] be generated by an expanding matrix [Formula: see text] and a finite integer digit set [Formula: see text], where [Formula: see text] with [Formula: see text] and [Formula: see text]. In this paper, we show that if [Formula: see text] for an integer [Formula: see text], then [Formula: see text] admits an infinite orthogonal set of exponential functions if and only if there exists [Formula: see text] such that [Formula: see text] for some [Formula: see text] with [Formula: see text] and [Formula: see text].

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50

Heilman, Steven M., Philip Owrutsky, and Robert S. Strichartz. "Orthogonal Polynomials with Respect to Self-Similar Measures." Experimental Mathematics 20, no. 3 (August 22, 2011): 238–59. http://dx.doi.org/10.1080/10586458.2011.564966.

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