MinT - Information on Result #1184846

Information on Result #1184846

Digital (187, 207, 838863)-net over F₃, using net defined by OOA based on linear OOA(3²⁰⁷, 838863, F₃, 25, 20) (dual of [(838863, 25), 20971368, 21]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3²⁰⁷, 1677727, F₃, 5, 20) (dual of [(1677727, 5), 8388428, 21]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹¹, 7, F₃, 5, 10) (dual of [(7, 5), 24, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,24P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁹⁶, 1677720, F₃, 5, 20) (dual of [(1677720, 5), 8388404, 21]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(3¹⁹⁶, 8388600, F₃, 20) (dual of [8388600, 8388404, 21]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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.