MinT - Information on Result #1058412

Information on Result #1058412

Linear OOA(2¹²², 31, F₂, 4, 100) (dual of [(31, 4), 2, 101]-NRT-code), using OOA 2-folding based on linear OOA(2¹²², 62, F₂, 2, 100) (dual of [(62, 2), 2, 101]-NRT-code), using

14 step truncation [i] based on linear OOA(2¹³⁶, 69, F₂, 2, 114) (dual of [(69, 2), 2, 115]-NRT-code), using
- repeating each code word 23 times [i] based on linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹²², 31, F₂, 4, 99) (dual of [(31, 4), 2, 100]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹²², 31, F₂, 4, 98) (dual of [(31, 4), 2, 99]-NRT-code)	[i]
3	Linear OOA(2¹²², 31, F₂, 4, 97) (dual of [(31, 4), 2, 98]-NRT-code)	[i]
4	Linear OOA(2¹²², 31, F₂, 4, 96) (dual of [(31, 4), 2, 97]-NRT-code)	[i]
5	Linear OOA(2¹²², 31, F₂, 4, 95) (dual of [(31, 4), 2, 96]-NRT-code)	[i]
6	Linear OOA(2¹²², 31, F₂, 4, 94) (dual of [(31, 4), 2, 95]-NRT-code)	[i]
7	Linear OOA(2¹²², 31, F₂, 4, 93) (dual of [(31, 4), 2, 94]-NRT-code)	[i]
8	Linear OOA(2²¹¹, 62, F₂, 4, 100) (dual of [(62, 4), 37, 101]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs