MinT - Information on Result #908770

Information on Result #908770

Linear OOA(2¹⁰⁴, 55, F₂, 2, 57) (dual of [(55, 2), 6, 58]-NRT-code), using juxtaposition based on

linear OOA(2²⁸, 17, F₂, 2, 17) (dual of [(17, 2), 6, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹¹, 8, F₂, 2, 8) (dual of [(8, 2), 5, 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(2⁷⁰, 38, F₂, 2, 39) (dual of [(38, 2), 6, 40]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³¹, 18, F₂, 2, 19) (dual of [(18, 2), 5, 20]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
        an explicit generator matrix by Edel [i]
      2. 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]
  2. linear OOA(2³⁹, 20, F₂, 2, 39) (dual of [(20, 2), 1, 40]-NRT-code), using
    - dual of repetition NRT-code with length 20 [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(2¹³⁸, 72, F₂, 2, 75) (dual of [(72, 2), 6, 76]-NRT-code)	[i]		Juxtaposition for OOAs