MinT - Information on Result #907570

Information on Result #907570

Linear OOA(2¹³⁰, 68, F₂, 2, 71) (dual of [(68, 2), 6, 72]-NRT-code), using repeating each code word 4 times 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]

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		Method
1	Linear OOA(2¹⁴², 74, F₂, 2, 76) (dual of [(74, 2), 6, 77]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(2¹⁴⁸, 77, F₂, 2, 80) (dual of [(77, 2), 6, 81]-NRT-code)	[i]
3	Linear OOA(2¹⁵⁰, 78, F₂, 2, 81) (dual of [(78, 2), 6, 82]-NRT-code)	[i]
4	Linear OOA(2¹⁵², 79, F₂, 2, 82) (dual of [(79, 2), 6, 83]-NRT-code)	[i]
5	Linear OOA(2¹⁵⁴, 80, F₂, 2, 83) (dual of [(80, 2), 6, 84]-NRT-code)	[i]
6	Linear OOA(2¹⁵⁶, 81, F₂, 2, 84) (dual of [(81, 2), 6, 85]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁸, 82, F₂, 2, 85) (dual of [(82, 2), 6, 86]-NRT-code)	[i]
8	Linear OOA(2¹⁶⁰, 83, F₂, 2, 86) (dual of [(83, 2), 6, 87]-NRT-code)	[i]