MinT - Information on Result #907588

Information on Result #907588

Linear OOA(2¹⁴⁶, 76, F₂, 2, 79) (dual of [(76, 2), 6, 80]-NRT-code), using repeating each code word 2 times based on 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(2¹⁵⁸, 82, F₂, 2, 84) (dual of [(82, 2), 6, 85]-NRT-code)	[i]		Juxtaposition for OOAs