MinT - Information on Result #908864

Information on Result #908864

Linear OOA(2¹⁵⁹, 82, F₂, 2, 91) (dual of [(82, 2), 5, 92]-NRT-code), using juxtaposition based on

linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code), using
- an explicit generator matrix by Edel [i]
linear OOA(2¹⁴³, 74, F₂, 2, 82) (dual of [(74, 2), 5, 83]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
  2. linear OOA(2¹²⁷, 66, F₂, 2, 73) (dual of [(66, 2), 5, 74]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
      2. linear OOA(2¹¹¹, 58, F₂, 2, 64) (dual of [(58, 2), 5, 65]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁹⁵, 50, F₂, 2, 55) (dual of [(50, 2), 5, 56]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁷⁹, 42, F₂, 2, 46) (dual of [(42, 2), 5, 47]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁶³, 34, F₂, 2, 37) (dual of [(34, 2), 5, 38]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2⁴⁷, 26, F₂, 2, 28) (dual of [(26, 2), 5, 29]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 9]-NRT-code) (see above)
        linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
        linear OOA(2¹⁹, 10, F₂, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
        dual of repetition NRT-code with length 10 [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(2¹⁷⁵, 90, F₂, 2, 100) (dual of [(90, 2), 5, 101]-NRT-code)	[i]		Juxtaposition for OOAs