MinT - Information on Result #1150149

Information on Result #1150149

Linear OOA(2¹²⁵, 4194332, F₂, 7, 8) (dual of [(4194332, 7), 29360199, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹²⁵, 4194333, F₂, 4, 8) (dual of [(4194333, 4), 16777207, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁰, 32, F₂, 4, 4) (dual of [(32, 4), 118, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁰, 32, F₂, 3, 4) (dual of [(32, 3), 86, 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(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.