Information on Result #1234909

Linear OOA(881, 5596562, F8, 3, 9) (dual of [(5596562, 3), 16789605, 10]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(815, 4160, F8, 3, 4) (dual of [(4160, 3), 12465, 5]-NRT-code), using
    • extracting embedded OOA [i] based on digital (11, 15, 4160)-net over F8, using
      • base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) for nets [i] based on digital (4, 8, 4160)-net over F64, using
        • net defined by OOA [i] based on linear OOA(648, 4160, F64, 4, 4) (dual of [(4160, 4), 16632, 5]-NRT-code), using
          • appending kth column [i] based on linear OOA(648, 4160, F64, 3, 4) (dual of [(4160, 3), 12472, 5]-NRT-code), using
            • generalized (u, u+v)-construction [i] based on
              1. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code), using
              2. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              3. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              4. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              5. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              6. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              7. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              8. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              9. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              10. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              11. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              12. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              13. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              14. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              15. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              16. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              17. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              18. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              19. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              20. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              21. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              22. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              23. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              24. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              25. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              26. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              27. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              28. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              29. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              30. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              31. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              32. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              33. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              34. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              35. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              36. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              37. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              38. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              39. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              40. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              41. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              42. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              43. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              44. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              45. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              46. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              47. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              48. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              49. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              50. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              51. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              52. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              53. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              54. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              55. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              56. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              57. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              58. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              59. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              60. linear OOA(640, 65, F64, 3, 0) (dual of [(65, 3), 195, 1]-NRT-code) (see above)
              61. linear OOA(641, 65, F64, 3, 1) (dual of [(65, 3), 194, 2]-NRT-code), using
              62. linear OOA(641, 65, F64, 3, 1) (dual of [(65, 3), 194, 2]-NRT-code) (see above)
              63. linear OOA(642, 65, F64, 3, 2) (dual of [(65, 3), 193, 3]-NRT-code), using
              64. linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
  2. linear OOA(866, 5592402, F8, 3, 9) (dual of [(5592402, 3), 16777140, 10]-NRT-code), using
    • trace code [i] based on linear OOA(6433, 2796201, F64, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using
      • OOA 3-folding [i] based on linear OA(6433, large, F64, 9) (dual of [large, large−33, 10]-code), using
        • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.