MinT - Information on Result #1130169

Information on Result #1130169

Linear OOA(2¹⁵⁷, 6291451, F₂, 6, 8) (dual of [(6291451, 6), 37748549, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹⁵⁷, 6291452, F₂, 4, 8) (dual of [(6291452, 4), 25165651, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁴², 2097151, F₂, 4, 4) (dual of [(2097151, 4), 8388562, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁴², 2097151, F₂, 3, 4) (dual of [(2097151, 3), 6291411, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (38, 42, 2097151)-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.