Information on Result #1017817

Linear OOA(6488, 5596562, F64, 3, 13) (dual of [(5596562, 3), 16789598, 14]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(6425, 2800298, F64, 3, 6) (dual of [(2800298, 3), 8400869, 7]-NRT-code), using
  2. linear OOA(6463, 2798281, F64, 3, 13) (dual of [(2798281, 3), 8394780, 14]-NRT-code), using
    • (u, u+v)-construction [i] based on
      1. linear OOA(6414, 2080, F64, 3, 6) (dual of [(2080, 3), 6226, 7]-NRT-code), using
        • OOA 2-folding [i] based on linear OOA(6414, 4160, F64, 2, 6) (dual of [(4160, 2), 8306, 7]-NRT-code), using
          • generalized (u, u+v)-construction [i] based on
            1. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code), using
            2. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            3. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            4. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            5. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            6. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            7. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            8. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            9. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            10. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            11. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            12. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            13. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            14. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            15. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            16. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            17. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            18. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            19. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            20. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            21. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            22. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            23. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            24. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            25. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            26. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            27. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            28. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            29. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            30. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            31. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            32. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            33. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            34. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            35. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            36. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            37. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            38. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            39. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            40. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            41. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            42. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            43. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            44. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            45. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            46. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            47. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            48. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            49. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            50. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            51. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            52. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            53. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            54. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            55. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            56. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            57. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            58. linear OOA(640, 65, F64, 2, 0) (dual of [(65, 2), 130, 1]-NRT-code) (see above)
            59. linear OOA(641, 65, F64, 2, 1) (dual of [(65, 2), 129, 2]-NRT-code), using
            60. linear OOA(641, 65, F64, 2, 1) (dual of [(65, 2), 129, 2]-NRT-code) (see above)
            61. linear OOA(641, 65, F64, 2, 1) (dual of [(65, 2), 129, 2]-NRT-code) (see above)
            62. linear OOA(642, 65, F64, 2, 2) (dual of [(65, 2), 128, 3]-NRT-code), using
            63. linear OOA(643, 65, F64, 2, 3) (dual of [(65, 2), 127, 4]-NRT-code), using
            64. linear OOA(646, 65, F64, 2, 6) (dual of [(65, 2), 124, 7]-NRT-code), using
      2. linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
        • OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
          • the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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.