Information on Result #1018553

Linear OOA(8170, 6668404, F81, 3, 10) (dual of [(6668404, 3), 20005142, 11]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(8117, 4194301, F81, 3, 5) (dual of [(4194301, 3), 12582886, 6]-NRT-code), using
  2. linear OOA(8153, 3334202, F81, 3, 10) (dual of [(3334202, 3), 10002553, 11]-NRT-code), using
    • (u, u+v)-construction [i] 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(8137, 2796201, F81, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
        • OOA 3-folding [i] based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
          • the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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.