آمار

تعداد نشریات8
تعداد شماره‌ها430
تعداد مقالات5,597
تعداد مشاهده مقاله7,095,312
تعداد دریافت فایل اصل مقاله6,042,035
Saeidi, Amin. (1401). Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$. نشریه مهندسی عمران امیرکبیر, 4(1), 39-46. doi: 10.22060/ajmc.2022.21378.1092
Amin Saeidi. "Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$". نشریه مهندسی عمران امیرکبیر, 4, 1, 1401, 39-46. doi: 10.22060/ajmc.2022.21378.1092
Saeidi, Amin. (1401). 'Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$', نشریه مهندسی عمران امیرکبیر, 4(1), pp. 39-46. doi: 10.22060/ajmc.2022.21378.1092
Saeidi, Amin. Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$. نشریه مهندسی عمران امیرکبیر, 1401; 4(1): 39-46. doi: 10.22060/ajmc.2022.21378.1092

Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$

AUT Journal of Mathematics and Computing
مقاله 4، دوره 4، شماره 1، 2023، صفحه 39-46    اصل مقاله (376.6 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2022.21378.1092
نویسنده
Amin Saeidi*
School of Mathematical and Computer Sciences, University of Limpopo (Turfloop) Sovenga, South Africa
چکیده
For a 1-$(v,k,\lambda)$ design $\mathcal{D}$ containing a point $x$, we study the set $I_x$, the intersection of all blocks of $\mathcal{D}$ containing $x$. We use the set $I_x$ together with the Key-Moori Method 2 to construct reduced designs invariant under some families of finite simple groups. We also show that there is a connection between reduced designs constructed by Method 2 and the new Moori Method 3.
کلیدواژه‌ها
Reduced design؛ Key-Moori Method 2؛ Method 3؛ Simple group
مراجع
  1. M. R. Darafsheh, A. Iranmanesh, and R. Kahkeshani, Some designs and codes invariant under the groups S9 and A8, Des. Codes Cryptogr., 51 (2009), pp. 211–223.
  2. J. D. Key and J. Moori, Codes, designs and graphs from the Janko groups J1 and J2, J. Combin. Math. Combin. Comput., 40 (2002), pp. 143–159.
  3. T. Le and J. Moori, On the automorphisms of designs constructed from finite simple groups, Des. Codes Cryptogr., 76 (2015), pp. 505–517.
  4. X. Mbaale and B. G. Rodrigues, Symmetric 1-designs from PGL2(q), for q an odd prime power, Glas. Mat. Ser. III, 56(76) (2021), pp. 1–15.
  5. X. Mbaale and B. G. Rodrigues, Symmetric 1-designs from PSL2(q), for q a power of an odd prime, Trans. Comb., 10 (2021), pp. 43–61.
  6. J. Moori, Finite groups, designs and codes, in Information security, coding theory and related combinatorics, vol. 29 of NATO Sci. Peace Secur. Ser. D Inf. Commun. Secur., IOS, Amsterdam, 2011, pp. 202–230.
  7. J. Moori, Designs and codes from fixed points of finite groups, Comm. Algebra, 49 (2021), pp. 706–720.
  8. J. Moori and B. G. Rodrigues, Some designs and codes invariant under the simple group Co2, J. Algebra, 316 (2007), pp. 649–661.
  9. , On some designs and codes invariant under the Higman-Sims group, Util. Math., 86 (2011), pp. 225–239.
  10. J. Moori, B. G. Rodrigues, A. Saeidi, and S. Zandi, Some symmetric designs invariant under the small Ree groups, Comm. Algebra, 47 (2019), pp. 2131–2148.
  11. , Designs from maximal subgroups and conjugacy classes of Ree groups, Adv. Math. Commun., 14 (2020), pp. 603–611.
  12. J. Moori and A. Saeidi, Some designs and codes invariant under the Tits group, Adv. Math. Commun., 11 (2017), pp. 77–82.
  13. [13], Constructing some designs invariant under PSL2(q), q even, Comm. Algebra, 46 (2018), pp. 160–166.
  14. , Some designs invariant under the Suzuki groups, Util. Math., 109 (2018), pp. 105–114.
  15. A. Saeidi, Designs and codes from fixed points of alternating groups, Comm. Algebra, 50 (2022), pp. 2215–2222.
آمار
تعداد مشاهده مقاله: 669
تعداد دریافت فایل اصل مقاله: 446


سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب