MinT - Information on Result #1175533

Information on Result #1175533

Linear OOA(2¹⁶⁰, 1398227, F₂, 8, 13) (dual of [(1398227, 8), 11185656, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²¹, 127, F₂, 8, 6) (dual of [(127, 8), 995, 7]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(2²¹, 127, F₂, 6, 6) (dual of [(127, 6), 741, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2²¹, 127, F₂, 5, 6) (dual of [(127, 5), 614, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (15, 21, 127)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2¹³⁹, 1398100, F₂, 8, 13) (dual of [(1398100, 8), 11184661, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2¹³⁹, 8388601, F₂, 13) (dual of [8388601, 8388462, 14]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹³⁹, large, F₂, 13) (dual of [large, large−139, 14]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 8388609Â | 2⁴⁶âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

None.

The following results depend on this result: