MinT - Information on Result #1183124

Information on Result #1183124

Digital (100, 109, 2116831)-net over F₃, using net defined by OOA based on linear OOA(3¹⁰⁹, 2116831, F₃, 12, 9) (dual of [(2116831, 12), 25401863, 10]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3¹⁰⁹, 2116832, F₃, 4, 9) (dual of [(2116832, 4), 8467219, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁹, 19682, F₃, 4, 4) (dual of [(19682, 4), 78709, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(3¹⁹, 19682, F₃, 3, 4) (dual of [(19682, 3), 59027, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (15, 19, 19682)-net over F₃, using
        nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(3⁹⁰, 2097150, F₃, 4, 9) (dual of [(2097150, 4), 8388510, 10]-NRT-code), using
    - OOA 4-folding [i] based on linear OA(3⁹⁰, 8388600, F₃, 9) (dual of [8388600, 8388510, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁹⁰, large, F₃, 9) (dual of [large, large−90, 10]-code), using
        the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’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.