MinT - Information on Result #894830

Information on Result #894830

Linear OOA(2²⁴³, 126, F₂, 2, 124) (dual of [(126, 2), 9, 125]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹⁸, 63, F₂, 2, 62) (dual of [(63, 2), 8, 63]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹¹⁸, 64, F₂, 2, 62) (dual of [(64, 2), 10, 63]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4²⁷, 32, F₄, 20) (dual of [32, 5, 21]-code), using
      - an explicit generator matrix [i]
    2. linear OOA(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;2,2) [i]
linear OOA(2¹²⁵, 63, F₂, 2, 124) (dual of [(63, 2), 1, 125]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹²⁵, 63, F₂, 2, 125) (dual of [(63, 2), 1, 126]-NRT-code), using
  - dual of repetition NRT-code with length 63 [i]

Mode: Constructive and linear.

None.

None.