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| 1 | Construction and Count of 1-Resilient Rotation Symmetric Boolean Functions on p^r Variables显示文摘Construction and count of 1-resilient Rotation symmetric Boolean functions(RSBFs) on p r variables are demonstrated. It is proved that constructions of1-resilient RSBFs on p r variables are equivalent to solving an equation system. An accurate enumeration formula of all 1-resilient RSBFs on p r variables is also proposed. Some examples are given, and the exact numbers of 1-resilient RSBFs on 8 and 9 variables are obtained respectively. | DU Jiao PANG Shanqi WEN Qiaoyan LIAO Xin | 2014 | Chinese Journal of Electronics2014，23，4： | 12 |
| 2 | Construction and Count of 1-Resilient Rotation Symmetric Boolean Functions on 4p Variables显示文摘This paper studies the properties of orbit matrix and gives a formula to compute the number of these orbit matrices on 4p variables, where p is an odd prime. It has been demonstrated that the construction of 1-resilient Rotation symmetric Boolean functions(RSBFs) on 4p variables is equivalent to solving an equation system. By the proposed method, all 1-resilient RSBFs on 12 variables can be constructed. We present a counting formula for the total number of all 1-resilient RSBFs on 4p variables. As application of our method, some 1-resilient RSBFs on 12 variables are presented. | PANG Shanqi XU Wenju DU Jiao WANG Ying | 2017 | Chinese Journal of Electronics2017，26，6： | 6 |
| 3 | Accurate Analysis of Connectivity and Resilience for a Class of Wireless Sensor Networks显示文摘Increasing attention is being devoted to network security with the extensive application of wireless sensor networks in various fields. Connectivity and resilience are the crucial metrics of network security.We establish precise formulas for obtaining the resilience of a Key predistribution scheme(KPS) obtained from an Orthogonal array(OA). We study the connectivity and resilience of the Broadcast-enhanced key predistribution scheme(BEKPS) based on OAs and improve the existing methods. We also present precise formulas for evaluating the resilience of these schemes based on any number of partitions, completely solving the problem regarding the resilience of this type of BEKPS. We obtain precise formulas for ensuring the connectivity of two partitions under the condition that each pair of trees from different partitions intersects at exactly one node. We present a general approximate formula for evaluating the connectivity of more than two partitions, providing a positive solution to the open problem in Kendall et al.'s paper in ACM Transactions on Sensor Networks(Vol.11,No.1, 2014). Thus, we can conclude that for this type of BEKPS, connectivity increases, whereas resilience remains unchanged as the number of partitions increases. A comparison of the obtained results and the previously reported results reveals the superior performance of the proposed BEKPSs. | PANG Shanqi HU Xianchao GAO Qiang LI Yongmei XIA Yifan | 2020 | Chinese Journal of Electronics2020，29，2： | 5 |
| 4 | Application of Orthogonal Array and Walsh Transform in Resilient Function显示文摘The relationship between Walsh transform of a Boolean function and the orthogonality of some columns of its support table is investigated. This result improves the characterization of the orthogonality of Orthogonal array(OA). Stinson and Massey gave two construction methods of linear resilient functions, one is to use linear code, the other is to utilize the large set of orthogonal arrays and right cosets. And another major contribution is to show the equivalence of two methods. | PANG Shanqi WANG Jing WANG Xunan WANG Xiaoli | 2018 | Chinese Journal of Electronics2018，27，2： | 3 |
| 5 | The Existence of a Class of Balanced Multi-output Rotation Symmetric Boolean Functions显示文摘A new characterization of balanced rotation symmetric(n, m)-functions is presented. Based on the characterization, the nonexistence of balanced rotation symmetric(p^r, m)-functions is determined, where p is an odd prime and m ≥ 2. And there exist balanced rotation symmetric(2~r, m)-functions for 2 ≤ m ≤ 2~r-r. With the help of these results, we also prove that there exist rotation symmetric resilient(2~r, m)-functions for 2 ≤ m ≤ 2~r-r-1. | DU Jiao FU Shaojing QU Longjiang LI Chao PANG Shanqi | 2018 | Chinese Journal of Electronics2018，27，5： | 2 |
| 6 | New constructions of q-variable 1-resilient rotation symmetric functions over F_p显示文摘Dear editor,Motivated by Refs.[1–10],we devote to constructing a class of q-variable 1-resilient rotation symmetric functions(RSFs)over the finite field F_p={0,1,...,p-1}in this letter.Throughout this letter,let p and q be different odd prime numbers. | Jiao DU Shaojing FU Longjiang QU Chao LI Shanqi PANG | 2016 | Science China(Information Sciences)2016，59，7： | 2 |
| 7 | Construction of Generalized Quantum Boolean Functions显示文摘The existing construction methods of Quantum Boolean functions(QBFs) are extended and simplified. All QBFs with one qubit and all local QBFs with any qubits are constructed. And we propose the concept of Generalized quantum Boolean functions(GQBFs). We find all GQBFs with one qutrit and all kinds of local GQBFs with any qutrits. The number of each of the four kinds of functions above is uncountably infinitely many. By using diagonal matrices, we obtain uncountably infinitely many non-local QBFs with any qubits and GQBFs with any qutrits. Infinitely many families of GQBFs with any qudits are obtained from the properties of projection matrices of known saturated orthogonal arrays. | PANG Shanqi ZHANG Qingjuan LIN Xiao | 2019 | Chinese Journal of Electronics2019，28，3： | 2 |
| 8 | Orthogonal arrays of size 108 with six - level columns 显示文摘 | Shanqi Pang Yingshan Zhang | 2004 | SUT Journal of Mathematics2004，40，1： | 1 |
| 9 | Group partition and systems of orthogonal idempotents显示文摘 | Zhang Yingshan Pang Shanqi Jiao Zhenming | 1998 | Linear Algebra and its Application1998，278，： | 1 |
| 10 | Orthogonal arrays obtatined by orthogonal decomposition of projection matrices 显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，： | 1 |
| 11 | The existence of a class of mixed orthogonal arrays显示文摘 | Pang Shanqi Wang Yajuan Chen Guangzhou | 2016 | IEICE Transactions on Fundamentals of Electronics communications and computer science2016，99，4： | 1 |
| 12 | Orthogonal arrays of size 108 with six-level columns显示文摘 | Shanqi Pang Yingshan Zhang | 2004 | SUT Journal of Mathematics2004，40，1： | 1 |
| 13 | Orthogonal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，： | 1 |
| 14 | Orthogonal arrays obtained by generalized Hadamard product显示文摘 | Zhang Yingshan Pang Shanqi Wang Yiping | 2001 | Discrete Mathematics2001，238，： | 1 |
| 15 | Further results on the orthogonal arrays ob- tained by generalized Hadamard product显示文摘 | Pang Shanqi Zhang Yingshan Liu Sanyang | 2004 | Statistics and Probability Letters2004，68，： | 1 |
| 16 | Stratifying Subtraction for Constructing Orthogonal Arrays显示文摘 | Shanqi Pang Jinyan Xi Li Zhang | 2009 | Advances in Systems Science and Applications2009，9，4： | 1 |
| 17 | Orthogonal arrays of size 108 with six-level columns 显示文摘 | Shanqi Pang Yingshan Zhang | 2004 | SUT Journal of Mathematics2004，40，1： | 1 |
| 18 | A replaoment scheme on the construction of orthogoral arrays显示文摘 | Pang Shanqi 21ang YrmgsMn Liu Sanyang | | 0，，01： | 1 |
| 19 | Orthogo-nal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | | 0，，： | 1 |
| 20 | Orthogonal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，2： | 1 |
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