MinT - Information on Result #1184440

Information on Result #1184440

Digital (194, 211, 1049805)-net over F₃, using net defined by OOA based on linear OOA(3²¹¹, 1049805, F₃, 18, 17) (dual of [(1049805, 18), 18896279, 18]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(3²¹¹, 4199221, F₃, 2, 17) (dual of [(4199221, 2), 8398231, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁴⁵, 4920, F₃, 2, 8) (dual of [(4920, 2), 9795, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3⁴⁵, 9840, F₃, 8) (dual of [9840, 9795, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁴⁵, 9841, F₃, 8) (dual of [9841, 9796, 9]-code), using
        the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,3,5,…,15}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]
  2. linear OOA(3¹⁶⁶, 4194301, F₃, 2, 17) (dual of [(4194301, 2), 8388436, 18]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁶⁶, 8388602, F₃, 17) (dual of [8388602, 8388436, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁶⁶, large, F₃, 17) (dual of [large, large−166, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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.