MinT - Information on Result #988509

Information on Result #988509

Linear OOA(49¹⁴, 1225, F₄₉, 3, 6) (dual of [(1225, 3), 3661, 7]-NRT-code), using OOA 2-folding based on linear OOA(49¹⁴, 2450, F₄₉, 2, 6) (dual of [(2450, 2), 4886, 7]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(49⁰, s, F₄₉, 2, 0) for arbitrarily large s, using
    - OOA with only one run / dual of NRT-code without redundancy [i]
2. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
3. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
4. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
5. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
6. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
7. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
8. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
9. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
10. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
11. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
12. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
13. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
14. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
15. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
16. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
17. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
18. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
19. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
20. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
21. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
22. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
23. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
24. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
25. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
26. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
27. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
28. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
29. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
30. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
31. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
32. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
33. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
34. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
35. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
36. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
37. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
38. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
39. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
40. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
41. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
42. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
43. linear OOA(49⁰, 50, F₄₉, 2, 0) (dual of [(50, 2), 100, 1]-NRT-code) (see above)
44. linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(49¹, s, F₄₉, 2, 1) for arbitrarily large s, using
    - appending 1 arbitrary column [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]
45. linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code) (see above)
46. linear OOA(49¹, 50, F₄₉, 2, 1) (dual of [(50, 2), 99, 2]-NRT-code) (see above)
47. linear OOA(49², 50, F₄₉, 2, 2) (dual of [(50, 2), 98, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;98,49) [i]
48. linear OOA(49³, 50, F₄₉, 2, 3) (dual of [(50, 2), 97, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;97,49) [i]
49. linear OOA(49⁶, 50, F₄₉, 2, 6) (dual of [(50, 2), 94, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;94,49) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.