MinT - Information on Result #1051081

Information on Result #1051081

Linear OOA(2¹⁰², 2097166, F₂, 4, 8) (dual of [(2097166, 4), 8388562, 9]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁰², 4194332, F₂, 2, 8) (dual of [(4194332, 2), 8388562, 9]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁰², 4194333, F₂, 2, 8) (dual of [(4194333, 2), 8388564, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰, 32, F₂, 2, 4) (dual of [(32, 2), 54, 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(2⁹², 4194301, F₂, 2, 8) (dual of [(4194301, 2), 8388510, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(2⁹², 8388602, F₂, 8) (dual of [8388602, 8388510, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(2⁹², large, F₂, 8) (dual of [large, large−92, 9]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.

Other Results with Identical Parameters

None.

Depending Results

None.