MinT - Information on Result #1181934

Information on Result #1181934

Digital (240, 260, 838880)-net over F₂, using net defined by OOA based on linear OOA(2²⁶⁰, 838880, F₂, 25, 20) (dual of [(838880, 25), 20971740, 21]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(2²⁶⁰, 1677761, F₂, 5, 20) (dual of [(1677761, 5), 8388545, 21]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁰, 41, F₂, 5, 10) (dual of [(41, 5), 175, 11]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁰, 20, F₂, 5, 5) (dual of [(20, 5), 90, 6]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁰, 20, F₂, 4, 5) (dual of [(20, 4), 70, 6]-NRT-code), using
        extracting embedded OOA [i] based on digital (5, 10, 20)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²⁰, 21, F₂, 5, 10) (dual of [(21, 5), 85, 11]-NRT-code), using
        extracting embedded OOA [i] based on digital (10, 20, 21)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²³⁰, 1677720, F₂, 5, 20) (dual of [(1677720, 5), 8388370, 21]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(2²³⁰, 8388600, F₂, 20) (dual of [8388600, 8388370, 21]-code), using
      - discarding factors / shortening the dual code based on linear OA(2²³⁰, large, F₂, 20) (dual of [large, large−230, 21]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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.