MinT - Information on Result #908572

Information on Result #908572

Linear OOA(2¹⁹⁰, 99, F₂, 2, 98) (dual of [(99, 2), 8, 99]-NRT-code), using juxtaposition based on

linear OOA(2⁶⁴, 36, F₂, 2, 35) (dual of [(36, 2), 8, 36]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁹, 18, F₂, 2, 17) (dual of [(18, 2), 7, 18]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹², 10, F₂, 2, 8) (dual of [(10, 2), 8, 9]-NRT-code), using
        an explicit generator matrix by Edel [i]
      2. linear OOA(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
        dual of repetition NRT-code with length 9 [i]
  2. linear OOA(2³⁵, 18, F₂, 2, 35) (dual of [(18, 2), 1, 36]-NRT-code), using
    - dual of repetition NRT-code with length 18 [i]
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]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.