MinT - Information on Result #1184750

Information on Result #1184750

Digital (204, 223, 932309)-net over F₃, using net defined by OOA based on linear OOA(3²²³, 932309, F₃, 21, 19) (dual of [(932309, 21), 19578266, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3²²³, 2796928, F₃, 3, 19) (dual of [(2796928, 3), 8390561, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²²³, 2796929, F₃, 3, 19) (dual of [(2796929, 3), 8390564, 20]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3⁴², 728, F₃, 3, 9) (dual of [(728, 3), 2142, 10]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3⁴², 2184, F₃, 9) (dual of [2184, 2142, 10]-code), using
        discarding factors / shortening the dual code based on linear OA(3⁴², 2186, F₃, 9) (dual of [2186, 2144, 10]-code), using
        1 times truncation [i] based on linear OA(3⁴³, 2187, F₃, 10) (dual of [2187, 2144, 11]-code), using
        an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 2186Â = 3⁷âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]
    2. linear OOA(3¹⁸¹, 2796201, F₃, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(3¹⁸¹, large, F₃, 19) (dual of [large, large−181, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (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.