MinT - Information on Result #1186284

Information on Result #1186284

Digital (59, 72, 2736)-net over F₄, using net defined by OOA based on linear OOA(4⁷², 2736, F₄, 15, 13) (dual of [(2736, 15), 40968, 14]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(4⁷², 5473, F₄, 3, 13) (dual of [(5473, 3), 16347, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4⁸, 12, F₄, 3, 6) (dual of [(12, 3), 28, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 8, 12)-net over F₄, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(4⁶⁴, 5461, F₄, 3, 13) (dual of [(5461, 3), 16319, 14]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(4⁶⁴, 16383, F₄, 13) (dual of [16383, 16319, 14]-code), using
      - discarding factors / shortening the dual code based on linear OA(4⁶⁴, 16384, F₄, 13) (dual of [16384, 16320, 14]-code), using
        an extension C_e(12) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 4⁷âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.