MinT - Information on Result #1130142

Information on Result #1130142

Linear OOA(2¹²³, 4194317, F₂, 6, 8) (dual of [(4194317, 6), 25165779, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹²³, 4194318, F₂, 4, 8) (dual of [(4194318, 4), 16777149, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸, 17, F₂, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁸, 17, F₂, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 8, 17)-net over F₂, using
      - nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹¹⁵, 4194301, F₂, 4, 8) (dual of [(4194301, 4), 16777089, 9]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(2¹¹⁵, 8388602, F₂, 2, 8) (dual of [(8388602, 2), 16777089, 9]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(2¹¹⁵, large, F₂, 2, 8), using
      - OOAs constructed from BCH codes [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.