MinT - Information on Result #1150266

Information on Result #1150266

Linear OOA(2¹²⁹, 4194380, F₂, 7, 9) (dual of [(4194380, 7), 29360531, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(2¹²⁹, 4194381, F₂, 4, 9) (dual of [(4194381, 4), 16777395, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹³, 80, F₂, 4, 4) (dual of [(80, 4), 307, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹³, 80, F₂, 3, 4) (dual of [(80, 3), 227, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 13, 80)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2¹¹⁶, 4194301, F₂, 4, 9) (dual of [(4194301, 4), 16777088, 10]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(2¹¹⁶, 8388602, F₂, 2, 9) (dual of [(8388602, 2), 16777088, 10]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(2¹¹⁶, large, F₂, 2, 9), 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.