MinT - Information on Result #3279300

Information on Result #3279300

(63, 74, 3357456)-net in base 16, using 16¹ times duplication based on (62, 73, 3357456)-net in base 16, using

(u,Â u+v)-construction [i] based on
1. (6, 11, 2016)-net in base 16, using
  - net defined by OOA [i] based on OOA(16¹¹, 2016, S₁₆, 5, 5), using
    - OOA 2-folding and stacking with additional row [i] based on OA(16¹¹, 4033, S₁₆, 5), using
      - discarding parts of the base [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]
2. digital (51, 62, 3355440)-net over F₁₆, using
  - trace code for nets [i] based on digital (20, 31, 1677720)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256³¹, 1677720, F₂₅₆, 11, 11) (dual of [(1677720, 11), 18454889, 12]-NRT-code), using
      - OOA 5-folding and stacking with additional row [i] based on linear OA(256³¹, 8388601, F₂₅₆, 11) (dual of [8388601, 8388570, 12]-code), using
        discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.