MinT - Information on Result #908636

Information on Result #908636

Linear OOA(2¹⁶⁹, 88, F₂, 2, 89) (dual of [(88, 2), 7, 90]-NRT-code), using juxtaposition based on

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]
linear OOA(2¹³³, 70, F₂, 2, 71) (dual of [(70, 2), 7, 72]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁶³, 35, F₂, 2, 35) (dual of [(35, 2), 7, 36]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
      - (u,Â u+v)-construction [i] 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(2¹⁷, 9, F₂, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code) (see above)
    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]

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(2²⁰⁹, 108, F₂, 2, 109) (dual of [(108, 2), 7, 110]-NRT-code)	[i]		Juxtaposition for OOAs