MinT - Information on Result #1200307

Information on Result #1200307

Linear OOA(49¹⁷, 2450, F₄₉, 9, 7) (dual of [(2450, 9), 22033, 8]-NRT-code), using OOA stacking with additional row based on linear OOA(49¹⁷, 2451, F₄₉, 3, 7) (dual of [(2451, 3), 7336, 8]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(49⁰, s, F₄₉, 3, 0) for arbitrarily large s, using
    - OOA with only one run / dual of NRT-code without redundancy [i]
2. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
3. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
4. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
5. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
6. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
7. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
8. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
9. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
10. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
11. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
12. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
13. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
14. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
15. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
16. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
17. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
18. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
19. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
20. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
21. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
22. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
23. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
24. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
25. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
26. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
27. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
28. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
29. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
30. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
31. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
32. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
33. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
34. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
35. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
36. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
37. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
38. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
39. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
40. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
41. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
42. linear OOA(49⁰, 50, F₄₉, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
43. linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(49¹, s, F₄₉, 3, 1) for arbitrarily large s, using
    - appending 2 arbitrary columns [i] based on linear OA(49¹, s, F₄₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
44. linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
45. linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
46. linear OOA(49¹, 50, F₄₉, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
47. linear OOA(49², 50, F₄₉, 3, 2) (dual of [(50, 3), 148, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;148,49) [i]
48. linear OOA(49³, 50, F₄₉, 3, 3) (dual of [(50, 3), 147, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;147,49) [i]
49. linear OOA(49⁸, 51, F₄₉, 3, 7) (dual of [(51, 3), 145, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 8, 51)-net over F₄₉, using
    - net from sequence [i] based on digital (1, 50)-sequence over F₄₉, using
      - Niederreiter sequence [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (10, 17, 2450)-net over F₄₉	[i]		Net Defined by OOA