MinT - Information on Result #1183874

Information on Result #1183874

Digital (136, 149, 1398464)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴⁹, 1398464, F₃, 14, 13) (dual of [(1398464, 14), 19578347, 14]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3¹⁴⁹, 4195393, F₃, 2, 13) (dual of [(4195393, 2), 8390637, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴⁹, 4195394, F₃, 2, 13) (dual of [(4195394, 2), 8390639, 14]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3²⁸, 1093, F₃, 2, 6) (dual of [(1093, 2), 2158, 7]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3²⁸, 2186, F₃, 6) (dual of [2186, 2158, 7]-code), using
        the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
    2. linear OOA(3¹²¹, 4194301, F₃, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3¹²¹, 8388602, F₃, 13) (dual of [8388602, 8388481, 14]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [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.