MinT - Information on Result #1183048

Information on Result #1183048

Digital (50, 59, 4927)-net over F₃, using net defined by OOA based on linear OOA(3⁵⁹, 4927, F₃, 12, 9) (dual of [(4927, 12), 59065, 10]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3⁵⁹, 4928, F₃, 4, 9) (dual of [(4928, 4), 19653, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵, 8, F₃, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(3⁵, 8, F₃, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (1, 5, 8)-net over F₃, using
        nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(3⁵⁴, 4920, F₃, 4, 9) (dual of [(4920, 4), 19626, 10]-NRT-code), using
    - OOA 4-folding [i] based on linear OA(3⁵⁴, 19680, F₃, 9) (dual of [19680, 19626, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁵⁴, 19682, F₃, 9) (dual of [19682, 19628, 10]-code), using
        the primitive narrow-sense BCH-code C(I) with length 19682Â = 3⁹âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.