MinT - Information on Result #1130910

Information on Result #1130910

Linear OOA(2¹⁵⁴, 1398118, F₂, 6, 13) (dual of [(1398118, 6), 8388554, 14]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁵⁴, 2796236, F₂, 3, 13) (dual of [(2796236, 3), 8388554, 14]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁵⁴, 2796237, F₂, 3, 13) (dual of [(2796237, 3), 8388557, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁵, 36, F₂, 3, 6) (dual of [(36, 3), 93, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 15, 36)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹³⁹, 2796201, F₂, 3, 13) (dual of [(2796201, 3), 8388464, 14]-NRT-code), using
    - OOA 3-folding [i] 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.

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.