MinT - Information on Result #1130145

Information on Result #1130145

Linear OOA(2¹²⁶, 4194347, F₂, 6, 8) (dual of [(4194347, 6), 25165956, 9]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹²⁶, 4194348, F₂, 4, 8) (dual of [(4194348, 4), 16777266, 9]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹¹, 47, F₂, 4, 4) (dual of [(47, 4), 177, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹¹, 47, F₂, 3, 4) (dual of [(47, 3), 130, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 11, 47)-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.