MinT - Information on Result #1164133

Information on Result #1164133

Linear OOA(2¹²², 4194311, F₂, 8, 8) (dual of [(4194311, 8), 33554366, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹²², 4194312, F₂, 4, 8) (dual of [(4194312, 4), 16777126, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷, 11, F₂, 4, 4) (dual of [(11, 4), 37, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁷, 11, F₂, 3, 4) (dual of [(11, 3), 26, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 7, 11)-net over F₂, using
      - hand-crafted matrix by Schmid and Wolf [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.