MinT - Information on Result #907569

Information on Result #907569

Linear OOA(2⁹⁶, 51, F₂, 2, 53) (dual of [(51, 2), 6, 54]-NRT-code), using repeating each code word 3 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(2¹⁰⁸, 57, F₂, 2, 58) (dual of [(57, 2), 6, 59]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(2¹¹⁰, 58, F₂, 2, 59) (dual of [(58, 2), 6, 60]-NRT-code)	[i]
3	Linear OOA(2¹¹², 59, F₂, 2, 61) (dual of [(59, 2), 6, 62]-NRT-code)	[i]
4	Linear OOA(2¹¹⁴, 60, F₂, 2, 62) (dual of [(60, 2), 6, 63]-NRT-code)	[i]
5	Linear OOA(2¹¹⁶, 61, F₂, 2, 63) (dual of [(61, 2), 6, 64]-NRT-code)	[i]
6	Linear OOA(2¹¹⁸, 62, F₂, 2, 64) (dual of [(62, 2), 6, 65]-NRT-code)	[i]
7	Linear OOA(2¹²⁰, 63, F₂, 2, 65) (dual of [(63, 2), 6, 66]-NRT-code)	[i]
8	Linear OOA(2¹²², 64, F₂, 2, 66) (dual of [(64, 2), 6, 67]-NRT-code)	[i]
9	Linear OOA(2¹²⁴, 65, F₂, 2, 67) (dual of [(65, 2), 6, 68]-NRT-code)	[i]
10	Linear OOA(2¹²⁶, 66, F₂, 2, 68) (dual of [(66, 2), 6, 69]-NRT-code)	[i]