MinT - Information on Result #1205472

Information on Result #1205472

Digital (122, 138, 2097182)-net over F₈, using trace code for nets based on digital (53, 69, 1048591)-net over F₆₄, using

net defined by OOA [i] based on linear OOA(64⁶⁹, 1048591, F₆₄, 18, 16) (dual of [(1048591, 18), 18874569, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(64⁶⁹, 4194365, F₆₄, 2, 16) (dual of [(4194365, 2), 8388661, 17]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(64⁶⁹, 4194366, F₆₄, 2, 16) (dual of [(4194366, 2), 8388663, 17]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(64⁸, 65, F₆₄, 2, 8) (dual of [(65, 2), 122, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;122,64) [i]
      2. linear OOA(64⁶¹, 4194301, F₆₄, 2, 16) (dual of [(4194301, 2), 8388541, 17]-NRT-code), using
        OOA 2-folding [i] based on linear OA(64⁶¹, 8388602, F₆₄, 16) (dual of [8388602, 8388541, 17]-code), using
        discarding factors / shortening the dual code based on linear OA(64⁶¹, large, F₆₄, 16) (dual of [large, large−61, 17]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.