MinT - Information on Result #1183284

Information on Result #1183284

Digital (111, 121, 1690684)-net over F₃, using net defined by OOA based on linear OOA(3¹²¹, 1690684, F₃, 15, 10) (dual of [(1690684, 15), 25360139, 11]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3¹²¹, 1690685, F₃, 5, 10) (dual of [(1690685, 5), 8453304, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3³⁰, 12965, F₃, 5, 5) (dual of [(12965, 5), 64795, 6]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(3³⁰, 12966, F₃, 2, 5) (dual of [(12966, 2), 25902, 6]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(3², 4, F₃, 2, 2) (dual of [(4, 2), 6, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;6,3) [i]
        linear OOA(3²⁸, 12962, F₃, 2, 5) (dual of [(12962, 2), 25896, 6]-NRT-code), using
        OOA 2-folding [i] based on linear OA(3²⁸, 25924, F₃, 5) (dual of [25924, 25896, 6]-code), using
        trace code [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(3⁹¹, 1677720, F₃, 5, 10) (dual of [(1677720, 5), 8388509, 11]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(3⁹¹, 8388600, F₃, 10) (dual of [8388600, 8388509, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁹¹, large, F₃, 10) (dual of [large, large−91, 11]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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.