MinT - Information on Result #1183276

Information on Result #1183276

Digital (107, 117, 1684199)-net over F₃, using net defined by OOA based on linear OOA(3¹¹⁷, 1684199, F₃, 15, 10) (dual of [(1684199, 15), 25262868, 11]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3¹¹⁷, 1684200, F₃, 5, 10) (dual of [(1684200, 5), 8420883, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²⁶, 6480, F₃, 5, 5) (dual of [(6480, 5), 32374, 6]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OA(3²⁶, 12961, F₃, 5) (dual of [12961, 12935, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²⁶, 12962, F₃, 5) (dual of [12962, 12936, 6]-code), using
        trace code [i] based on linear OA(9¹³, 6481, F₉, 5) (dual of [6481, 6468, 6]-code), using
        base reduction for projective spaces (embedding PG(6,81) in PG(12,9)) [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.