- 期刊
A Note on the Constructions of Orthomorphic Permutations
並列摘要
Orthomorphic permutations have important applications in the design of block ciphers. A practical algorithm is derived to generate all orthomorphic permutations over F(superscript m subscript 2), and it is verified that the number of all orthomorphic permutations over F(superscript 4 subscript 2) is 244, 744, 192. With the theory of finite fields, a brief method is derived to generate a permutation polynomial corresponding to every permutation over F(superscript m subscript 2), and all orthomorphic permutation polynomials over F(superscript 4 subscript 2) are analyzed.
被引用紀錄
Wu, W. C. (2008). 電鍍成長磁性奈米線於陽極氧化鋁模板之製程 [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2008.00469
李培寧（2013）。網路威脅防禦策略之研究〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201300323
Huang, H. H. (2014). 中文語篇標記解釋與語篇關係辨識及其在意見極性分析之研究 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2014.00506
邱畊銘（2008）。嵌入式矽智財核心之IEEE 1500安全測試封套〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2008.00701
延伸閱讀
- YAKUBOVICH, S., & KALLA, S. L. (1993). ON A NEW APPROACH TO CONVOLUTION CONSTRUCTIONS. International Journal of Mathematics and Mathematical Sciences, 1993(), 435-448. https://doi.org/10.1155/S0161171293000559
- CHAUDHRY, M. A., & THAHEEM, A. (1998). ON A PROBLEM OF COMMUTATIVITY OF AUTOMORPHISMS. International Journal of Mathematics and Mathematical Sciences, 1998(), 411-412. https://doi.org/10.1155/S016117129800057X
- Schmersau, D. (1981). ON HOLOMORPHIC FUNCTIONS WITH CERTAIN EXTREMAL PROPERTIES OF ITS ABSOLUTE VALUES. International Journal of Mathematics and Mathematical Sciences, 1981(), 641-647. https://doi.org/10.1155/S0161171281000471
- Zeng, Q. P., & Zhong, H. J. (2012). A Note on Property (g^b) and Perturbations. Abstract and Applied Analysis, 2012(), 1436-1445-396. https://doi.org/10.1155/2012/523986
- KIM, Y. C., LEE, S. H., & OWA, S. (1993). ON CERTAIN MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS. International Journal of Mathematics and Mathematical Sciences, 1993(), 409-412. https://doi.org/10.1155/S0161171293000511