Information on Result #669241

Linear OA(4939, 2500, F49, 15) (dual of [2500, 2461, 16]-code), using (u, u+v)-construction based on
  1. linear OA(4910, 98, F49, 7) (dual of [98, 88, 8]-code), using
    • generalized (u, u+v)-construction [i] based on
      1. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
      2. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      3. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      4. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      5. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      6. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      7. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      8. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      9. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      10. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      11. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      12. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      13. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      14. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      15. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      16. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      17. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      18. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      19. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      20. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      21. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      22. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      23. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      24. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      25. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      26. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      27. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      28. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      29. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      30. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      31. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      32. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      33. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      34. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      35. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      36. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      37. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      38. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      39. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      40. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      41. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      42. linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
      43. linear OA(491, 2, F49, 1) (dual of [2, 1, 2]-code), using
      44. linear OA(491, 2, F49, 1) (dual of [2, 1, 2]-code) (see above)
      45. linear OA(491, 2, F49, 1) (dual of [2, 1, 2]-code) (see above)
      46. linear OA(491, 2, F49, 1) (dual of [2, 1, 2]-code) (see above)
      47. linear OA(492, 2, F49, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,49)), using
      48. linear OA(492, 2, F49, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,49)) (see above)
      49. linear OA(492, 2, F49, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,49)) (see above)
  2. linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4939, 357, F49, 15, 15) (dual of [(357, 15), 5316, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row