Information on Result #1018579

Linear OOA(8157, 3334202, F81, 3, 11) (dual of [(3334202, 3), 10002549, 12]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(8116, 538001, F81, 3, 5) (dual of [(538001, 3), 1613987, 6]-NRT-code), using
    • OOA stacking with additional row [i] based on linear OOA(8116, 538002, F81, 2, 5) (dual of [(538002, 2), 1075988, 6]-NRT-code), using
      • generalized (u, u+v)-construction [i] based on
        1. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code), using
        2. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        3. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        4. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        5. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        6. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        7. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        8. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        9. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        10. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        11. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        12. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        13. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        14. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        15. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        16. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        17. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        18. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        19. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        20. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        21. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        22. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        23. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        24. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        25. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        26. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        27. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        28. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        29. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        30. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        31. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        32. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        33. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        34. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        35. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        36. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        37. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        38. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        39. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        40. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        41. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        42. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        43. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        44. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        45. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        46. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        47. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        48. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        49. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        50. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        51. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        52. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        53. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        54. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        55. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        56. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        57. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        58. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        59. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        60. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        61. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        62. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        63. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        64. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        65. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        66. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        67. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        68. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        69. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        70. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        71. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        72. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        73. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        74. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        75. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        76. linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
        77. linear OOA(811, 6642, F81, 2, 1) (dual of [(6642, 2), 13283, 2]-NRT-code), using
        78. linear OOA(811, 6642, F81, 2, 1) (dual of [(6642, 2), 13283, 2]-NRT-code) (see above)
        79. linear OOA(811, 6642, F81, 2, 1) (dual of [(6642, 2), 13283, 2]-NRT-code) (see above)
        80. linear OOA(813, 6642, F81, 2, 2) (dual of [(6642, 2), 13281, 3]-NRT-code), using
        81. linear OOA(8110, 6642, F81, 2, 5) (dual of [(6642, 2), 13274, 6]-NRT-code), using
          • generalized (u, u+v)-construction [i] based on
            1. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code), using
            2. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            3. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            4. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            5. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            6. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            7. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            8. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            9. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            10. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            11. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            12. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            13. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            14. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            15. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            16. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            17. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            18. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            19. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            20. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            21. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            22. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            23. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            24. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            25. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            26. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            27. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            28. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            29. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            30. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            31. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            32. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            33. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            34. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            35. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            36. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            37. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            38. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            39. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            40. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            41. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            42. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            43. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            44. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            45. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            46. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            47. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            48. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            49. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            50. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            51. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            52. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            53. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            54. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            55. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            56. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            57. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            58. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            59. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            60. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            61. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            62. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            63. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            64. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            65. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            66. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            67. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            68. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            69. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            70. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            71. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            72. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            73. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            74. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            75. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            76. linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
            77. linear OOA(811, 82, F81, 2, 1) (dual of [(82, 2), 163, 2]-NRT-code), using
            78. linear OOA(811, 82, F81, 2, 1) (dual of [(82, 2), 163, 2]-NRT-code) (see above)
            79. linear OOA(811, 82, F81, 2, 1) (dual of [(82, 2), 163, 2]-NRT-code) (see above)
            80. linear OOA(812, 82, F81, 2, 2) (dual of [(82, 2), 162, 3]-NRT-code), using
            81. linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
  2. linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(8174, 6668404, F81, 3, 11) (dual of [(6668404, 3), 20005138, 12]-NRT-code) [i](u, u+v)-Construction for OOAs