پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 13 |
| تعداد شماره‌ها | 200 |
| تعداد مقالات | 2,008 |
| تعداد مشاهده مقاله | 2,680,169 |
| تعداد دریافت فایل اصل مقاله | 1,937,362 |
On the covering radius of DNA code over a finite ring | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 8، شماره 2، مهر 2023، صفحه 75-82 اصل مقاله (284.05 K) | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2023.1943 | ||
| نویسنده | ||
| P Chella Pandian | ||
| Department of Mathematics, Srimad Andavan Arts and Science College(A), Tiruchirappalli, Taminadu, India | ||
| تاریخ دریافت: 05 خرداد 1402، تاریخ بازنگری: 14 خرداد 1402، تاریخ پذیرش: 01 تیر 1402 | ||
| چکیده | ||
| In this paper, lower bound and upper bound on the covering radius of DNA codes over a finite ring N with respect to Chinese euclidean distance are given. Also determine the covering radius of various Repetition DNA codes, Simplex DNA code Type α and Simplex DNA code Type β and bounds on the covering radius for MacDonald DNA codes of both types over N. | ||
| کلیدواژه‌ها | ||
| DNA code؛ finite ring؛ covering radius؛ simplex codes | ||
| مراجع | ||
|
[1] M. L. Adleman, Molecular computation of solutions to combinatorial problems, Science 266 (1994) 1021-1024. [2] T. Aoki, P. Gaborit, M. Harada, M. Ozeki, P. Sol’e, On the covering radius of Z4 codes and their lattices, IEEE Trans. Inform. Theory 45(6) (1999) 2162-2168. [3] M. C. Bhandari, M. K. Gupta, A. K. Lal, On Z4 simplex codes and their gray images, Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC- 13, Lecture Notes in Computer Science 1719(1999) 170-180. [4] A. Bonnecaze, P. Sol’e, C. Bachoc, B. Mourrain, Type II codes over Z4, IEEE Trans. Inform. Theory 43 (1997) 969-976. [5] P. Chella Pandian, On the covering radius of codes over Z4 with chinese euclidean weight, International Journal on Information Theory (IJIT) 4(4) (2015) 1-8. [6] G. D. Cohen, M. G. Karpovsky, H. F. Mattson, J. R. Schatz, Covering radius- survey and recent results, IEEE Trans. Inform. Theory 31(3) (1985) 328-343. [7] C. Cohen, A. Lobstein, N. J. A. Sloane, Further results on the covering radius of codes, IEEE Trans. Inform. Theory 32(5) (1986) 680-694. [8] C. J. Colbourn, M. K. Gupta, On quaternary MacDonald codes, in: Proc. Information Technology: Coding and Computing (ITCC), 2003, 212-215. [9] J. H. Conway, N. J. A. Sloane, Self-dual codes over the integers modulo 4, Journal of Combin. Theory Ser. A 62 (1993) 30-45. [10] S. Dodunekov, J. Simonis, Codes and projective multisets. Electron. J. Combin 5(1) (1998) 23. [11] S. T. Dougherty, M. Harada, P. Sol’e, Shadow codes over Z4, Finite Fields and Their Appl. (to appear). [12] C. Durairajan, On Covering Codes and Covering Radius of Some Optimal Codes, Ph. D. Thesis, Department of Mathematics, IIT Kanpur, 1996. [13] M. K. Gupta, C. Durairajan, On the covering radius of some modular codes, Journal of Advances in Mathematics of Computations 8(2) (2014) 9. [14] M. K. Gupta, G. Glynn David, T. Aaron Gulliver, On Senary Simplex Codes, In: S. Boztas¸, I.E. Shparlinski, (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC. Lecture Notes in Computer Science, 2227. Springer, Berlin, Heidelberg, 2001. [15] A. R. Hammons, P. V. Kumar, A. R. Calderbank, N. J. A. Sloane, P., Sol’e, The Z4-linearity of kerdock, preparata, goethals, and related codes, IEEE Trans. Inform. Theory 40(1994) 301-319. [16] M. Harada, New extremal Type II codes over Z4, Des. Codes and Cryptogr. 13 (1998) 271-284 . [17] D. J.Watson, C. H. F. Crick, A structure for deoxyribose nucleic acid, Nature. 25 (1953) 737-738. | ||
|
آمار تعداد مشاهده مقاله: 310 تعداد دریافت فایل اصل مقاله: 320 |
||