MinT - Information on Result #3253870

Information on Result #3253870

Digital (193, 208, 2396742)-net over F₃, using 3¹ times duplication based on digital (192, 207, 2396742)-net over F₃, using

(u,Â u+v)-construction [i] based on
1. digital (50, 57, 1594323)-net over F₃, using
  - net defined by OOA [i] based on linear OOA(3⁵⁷, 1594323, F₃, 7, 7) (dual of [(1594323, 7), 11160204, 8]-NRT-code), using
    - OOA 3-folding and stacking with additional row [i] based on linear OA(3⁵⁷, 4782970, F₃, 7) (dual of [4782970, 4782913, 8]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 4782970Â | 3²⁸âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]
2. digital (135, 150, 1198371)-net over F₃, using
  - net defined by OOA [i] based on linear OOA(3¹⁵⁰, 1198371, F₃, 15, 15) (dual of [(1198371, 15), 17975415, 16]-NRT-code), using
    - OOA 7-folding and stacking with additional row [i] based on linear OA(3¹⁵⁰, 8388598, F₃, 15) (dual of [8388598, 8388448, 16]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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.