MinT - Information on Result #1206275

Information on Result #1206275

Digital (219, 237, 932119)-net over F₂, using (u,Â u+v)-construction based on

digital (21, 30, 52)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2³⁰, 52, F₂, 9, 9) (dual of [(52, 9), 438, 10]-NRT-code), using
  - appending kth column [i] based on linear OOA(2³⁰, 52, F₂, 8, 9) (dual of [(52, 8), 386, 10]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁰, 32, F₂, 8, 4) (dual of [(32, 8), 246, 5]-NRT-code), using
        appending 4 arbitrary columns [i] based on linear OOA(2¹⁰, 32, F₂, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁰, 32, F₂, 3, 4) (dual of [(32, 3), 86, 5]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 10, 32)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²⁰, 26, F₂, 8, 9) (dual of [(26, 8), 188, 10]-NRT-code), using
        extracting embedded OOA [i] based on digital (11, 20, 26)-net over F₂, using
        linear code embedding found in a computer search [i]
digital (189, 207, 932067)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2²⁰⁷, 932067, F₂, 18, 18) (dual of [(932067, 18), 16776999, 19]-NRT-code), using
  - OA 9-folding and stacking [i] based on linear OA(2²⁰⁷, large, F₂, 18) (dual of [large, large−207, 19]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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.