MinT - Information on Result #1183766

Information on Result #1183766

Digital (160, 172, 2796210)-net over F₃, using net defined by OOA based on linear OOA(3¹⁷², 2796210, F₃, 15, 12) (dual of [(2796210, 15), 41942978, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(3¹⁷², 5592421, F₃, 3, 12) (dual of [(5592421, 3), 16777091, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁰, 19, F₃, 3, 6) (dual of [(19, 3), 47, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 10, 19)-net over F₃, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(3¹⁶², 5592402, F₃, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
    - trace code [i] based on linear OOA(9⁸¹, 2796201, F₉, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(9⁸¹, large, F₉, 12) (dual of [large, large−81, 13]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.