MinT - Information on Result #1183872

Information on Result #1183872

Digital (135, 148, 1398282)-net over F₃, using net defined by OOA based on linear OOA(3¹⁴⁸, 1398282, F₃, 14, 13) (dual of [(1398282, 14), 19575800, 14]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3¹⁴⁸, 4194847, F₃, 2, 13) (dual of [(4194847, 2), 8389546, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²⁷, 546, F₃, 2, 6) (dual of [(546, 2), 1065, 7]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²⁷, 1092, F₃, 6) (dual of [1092, 1065, 7]-code), using
      - 1 times truncation [i] based on linear OA(3²⁸, 1093, F₃, 7) (dual of [1093, 1065, 8]-code), using
        the BCH-code C(I) with length 1093Â | 3⁷âˆ’1, defining interval IÂ =Â {−3,−1,1,…,9}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [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.