Information on Result #669040

Linear OA(4910, 98, F49, 7) (dual of [98, 88, 8]-code), using generalized (u, u+v)-construction 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)

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 OA(4939, 2500, F49, 15) (dual of [2500, 2461, 16]-code) [i](u, u+v)-Construction
2Linear OA(4953, 117748, F49, 15) (dual of [117748, 117695, 16]-code) [i]
3Linear OA(4937, 2499, F49, 14) (dual of [2499, 2462, 15]-code) [i]
4Linear OA(4950, 117747, F49, 14) (dual of [117747, 117697, 15]-code) [i]