MinT - Best Known (33, 33+7, s)-Nets in Base 32

Best Known (33, 33+7, s)-Nets in Base 32

(33, 33+7, 5592400)-Net over F₃₂ — Constructive and digital

Digital (33, 40, 5592400)-net over F₃₂, using

32¹ times duplication [i] based on digital (32, 39, 5592400)-net over F₃₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (5, 8, 3214400)-net over F₃₂, using
    - net defined by OOA [i] based on linear OOA(32⁸, 3214400, F₃₂, 3, 3) (dual of [(3214400, 3), 9643192, 4]-NRT-code), using
      - appending kth column [i] based on linear OOA(32⁸, 3214400, F₃₂, 2, 3) (dual of [(3214400, 2), 6428792, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(32⁸, 3214400, F₃₂, 3) (dual of [3214400, 3214392, 4]-code or 3214400-cap in PG(7,32)), using
        product of projective cap with cap in AG(4,Â 32) [i] based on linear OA(32⁴, 1025, F₃₂, 3) (dual of [1025, 1021, 4]-code or 1025-cap in PG(3,32)), using
        ovoid in PG(3,Â 32) [i]
  2. digital (24, 31, 2796200)-net over F₃₂, using
    - net defined by OOA [i] based on linear OOA(32³¹, 2796200, F₃₂, 7, 7) (dual of [(2796200, 7), 19573369, 8]-NRT-code), using
      - OOA 3-folding and stacking with additional row [i] based on linear OA(32³¹, 8388601, F₃₂, 7) (dual of [8388601, 8388570, 8]-code), using
        discarding factors / shortening the dual code based on linear OA(32³¹, large, F₃₂, 7) (dual of [large, large−31, 8]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]

(33, 33+7, 5592832)-Net in Base 32 — Constructive

(33, 40, 5592832)-net in base 32, using

base change [i] based on digital (18, 25, 5592832)-net over F₂₅₆, using
- net defined by OOA [i] based on linear OOA(256²⁵, 5592832, F₂₅₆, 7, 7) (dual of [(5592832, 7), 39149799, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(256²⁵, 5592832, F₂₅₆, 6, 7) (dual of [(5592832, 6), 33556967, 8]-NRT-code), using
    - generalized (u,Â u+v)-construction [i] based on
      1. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 6, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
      2. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      3. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      4. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      5. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      6. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      7. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      8. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      9. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      10. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      11. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      12. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      13. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      14. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      15. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      16. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      17. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      18. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      19. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      20. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      21. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      22. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      23. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      24. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      25. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      26. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      27. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      28. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      29. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      30. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      31. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      32. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      33. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      34. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      35. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      36. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      37. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      38. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      39. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      40. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      41. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      42. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      43. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      44. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      45. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      46. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      47. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      48. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      49. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      50. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      51. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      52. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      53. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      54. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      55. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      56. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      57. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      58. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      59. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      60. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      61. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      62. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      63. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      64. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      65. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      66. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      67. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      68. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      69. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      70. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      71. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      72. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      73. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      74. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      75. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      76. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      77. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      78. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      79. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      80. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      81. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      82. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      83. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      84. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      85. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      86. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      87. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      88. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      89. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      90. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      91. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      92. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      93. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      94. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      95. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      96. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      97. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      98. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      99. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      100. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      101. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      102. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      103. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      104. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      105. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      106. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      107. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      108. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      109. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      110. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      111. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      112. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      113. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      114. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      115. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      116. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      117. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      118. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      119. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      120. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      121. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      122. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      123. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      124. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      125. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      126. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      127. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      128. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      129. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      130. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      131. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      132. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      133. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      134. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      135. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      136. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      137. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      138. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      139. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      140. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      141. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      142. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      143. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      144. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      145. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      146. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      147. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      148. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      149. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      150. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      151. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      152. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      153. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      154. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      155. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      156. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      157. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      158. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      159. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      160. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      161. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      162. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      163. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      164. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      165. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      166. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      167. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      168. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      169. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      170. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      171. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      172. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      173. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      174. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      175. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      176. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      177. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      178. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      179. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      180. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      181. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      182. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      183. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      184. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      185. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      186. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      187. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      188. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      189. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      190. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      191. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      192. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      193. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      194. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      195. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      196. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      197. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      198. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      199. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      200. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      201. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      202. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      203. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      204. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      205. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      206. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      207. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      208. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      209. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      210. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      211. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      212. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      213. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      214. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      215. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      216. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      217. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      218. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      219. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      220. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      221. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      222. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      223. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      224. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      225. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      226. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      227. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      228. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      229. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      230. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      231. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      232. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      233. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      234. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      235. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      236. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      237. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      238. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      239. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      240. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      241. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      242. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      243. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      244. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      245. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      246. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      247. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      248. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      249. linear OOA(256⁰, 21847, F₂₅₆, 6, 0) (dual of [(21847, 6), 131082, 1]-NRT-code) (see above)
      250. linear OOA(256¹, 21847, F₂₅₆, 6, 1) (dual of [(21847, 6), 131081, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 6, 1) with arbitrarily large s, using
        appending 5 arbitrary columns [i] based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
        parity-check code [i]
      251. linear OOA(256¹, 21847, F₂₅₆, 6, 1) (dual of [(21847, 6), 131081, 2]-NRT-code) (see above)
      252. linear OOA(256¹, 21847, F₂₅₆, 6, 1) (dual of [(21847, 6), 131081, 2]-NRT-code) (see above)
      253. linear OOA(256¹, 21847, F₂₅₆, 6, 1) (dual of [(21847, 6), 131081, 2]-NRT-code) (see above)
      254. linear OOA(256³, 21847, F₂₅₆, 6, 2) (dual of [(21847, 6), 131079, 3]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256³, 65793, F₂₅₆, 6, 2) (dual of [(65793, 6), 394755, 3]-NRT-code), using
        appending 4 arbitrary columns [i] based on linear OOA(256³, 65793, F₂₅₆, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
        appending kth column [i] based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
      255. linear OOA(256⁴, 21847, F₂₅₆, 6, 3) (dual of [(21847, 6), 131078, 4]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁴, 65537, F₂₅₆, 6, 3) (dual of [(65537, 6), 393218, 4]-NRT-code), using
        appending 3 arbitrary columns [i] based on linear OOA(256⁴, 65537, F₂₅₆, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
        appending kth column [i] based on linear OOA(256⁴, 65537, F₂₅₆, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
        ovoid in PG(3,Â 256) [i]
      256. linear OOA(256¹⁴, 21847, F₂₅₆, 6, 7) (dual of [(21847, 6), 131068, 8]-NRT-code), using
        OOA 3-folding and stacking with additional row [i] based on linear OA(256¹⁴, 65542, F₂₅₆, 7) (dual of [65542, 65528, 8]-code), using
        constructionÂ X applied to C([0,3]) âŠ‚ C([0,2]) [i] based on
        linear OA(256¹³, 65537, F₂₅₆, 7) (dual of [65537, 65524, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]
        linear OA(256⁹, 65537, F₂₅₆, 5) (dual of [65537, 65528, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,2], and minimum distance dÂ â‰¥ |{−2,−1,0,1,2}|+1Â =Â 6 (BCH-bound) [i]
        linear OA(256¹, 5, F₂₅₆, 1) (dual of [5, 4, 2]-code), using
        discarding factors / shortening the dual code based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s (see above)

(33, 33+7, large)-Net over F₃₂ — Digital

Digital (33, 40, large)-net over F₃₂, using

t-expansion [i] based on digital (32, 40, large)-net over F₃₂, using
- 1 times m-reduction [i] based on digital (32, 41, large)-net over F₃₂, using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(32⁴¹, large, F₃₂, 9) (dual of [large, large−41, 10]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

(33, 33+7, large)-Net in Base 32 — Upper bound on s

There is no (33, 40, large)-net in base 32, because

5 times m-reduction [i] would yield (33, 35, large)-net in base 32, but
- mutually orthogonal hypercube bound [i]

Best Known (33, 33+7, s)-Nets in Base 32

(33, 33+7, 5592400)-Net over F32 — Constructive and digital

(33, 33+7, 5592832)-Net in Base 32 — Constructive

(33, 33+7, large)-Net over F32 — Digital

(33, 33+7, large)-Net in Base 32 — Upper bound on s

(33, 33+7, 5592400)-Net over F₃₂ — Constructive and digital

(33, 33+7, large)-Net over F₃₂ — Digital