MinT - Information on Result #1184404

Information on Result #1184404

Digital (162, 179, 1048583)-net over F₃, using net defined by OOA based on linear OOA(3¹⁷⁹, 1048583, F₃, 20, 17) (dual of [(1048583, 20), 20971481, 18]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁷⁹, 2097167, F₃, 4, 17) (dual of [(2097167, 4), 8388489, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹³, 17, F₃, 4, 8) (dual of [(17, 4), 55, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 13, 17)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹⁶⁶, 2097150, F₃, 4, 17) (dual of [(2097150, 4), 8388434, 18]-NRT-code), using
    - OOA 4-folding [i] based on linear OA(3¹⁶⁶, 8388600, F₃, 17) (dual of [8388600, 8388434, 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.