MinT - Information on Result #1183938

Information on Result #1183938

Digital (181, 194, 2796564)-net over F₃, using net defined by OOA based on linear OOA(3¹⁹⁴, 2796564, F₃, 15, 13) (dual of [(2796564, 15), 41948266, 14]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁹⁴, 5593129, F₃, 3, 13) (dual of [(5593129, 3), 16779193, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁹⁴, 5593130, F₃, 3, 13) (dual of [(5593130, 3), 16779196, 14]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(3¹³, 728, F₃, 3, 4) (dual of [(728, 3), 2171, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (9, 13, 728)-net over F₃, using
        nets constructed from net-embeddable BCH codes [i]
    2. linear OOA(3⁶⁰, 2796201, F₃, 3, 6) (dual of [(2796201, 3), 8388543, 7]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3⁶⁰, large, F₃, 6) (dual of [large, large−60, 7]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
    3. linear OOA(3¹²¹, 2796201, F₃, 3, 13) (dual of [(2796201, 3), 8388482, 14]-NRT-code), using
      - OOA 3-folding [i] 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.