MinT - Information on Result #1059337

Information on Result #1059337

Linear OOA(2²²⁶, 57, F₂, 4, 186) (dual of [(57, 4), 2, 187]-NRT-code), using OOA 2-folding based on linear OOA(2²²⁶, 114, F₂, 2, 186) (dual of [(114, 2), 2, 187]-NRT-code), using

strength reduction [i] based on linear OOA(2²²⁶, 114, F₂, 2, 189) (dual of [(114, 2), 2, 190]-NRT-code), using
- repeating each code word 38 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(2²²⁶, 57, F₂, 4, 185) (dual of [(57, 4), 2, 186]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²²⁶, 57, F₂, 4, 184) (dual of [(57, 4), 2, 185]-NRT-code)	[i]
3	Linear OOA(2²²⁶, 57, F₂, 4, 183) (dual of [(57, 4), 2, 184]-NRT-code)	[i]
4	Linear OOA(2²²⁶, 57, F₂, 4, 182) (dual of [(57, 4), 2, 183]-NRT-code)	[i]
5	Linear OOA(2²²⁶, 57, F₂, 4, 181) (dual of [(57, 4), 2, 182]-NRT-code)	[i]
6	Linear OOA(2²²⁶, 57, F₂, 4, 180) (dual of [(57, 4), 2, 181]-NRT-code)	[i]
7	Linear OOA(2²²⁶, 57, F₂, 4, 179) (dual of [(57, 4), 2, 180]-NRT-code)	[i]
8	Linear OOA(2²²⁶, 57, F₂, 4, 178) (dual of [(57, 4), 2, 179]-NRT-code)	[i]
9	Linear OOA(2²²⁶, 57, F₂, 4, 177) (dual of [(57, 4), 2, 178]-NRT-code)	[i]
10	Linear OOA(2²²⁶, 57, F₂, 4, 176) (dual of [(57, 4), 2, 177]-NRT-code)	[i]
11	Linear OOA(2²²⁶, 57, F₂, 4, 175) (dual of [(57, 4), 2, 176]-NRT-code)	[i]
12	Linear OOA(2²²⁶, 57, F₂, 4, 174) (dual of [(57, 4), 2, 175]-NRT-code)	[i]
13	Linear OOA(2²²⁶, 57, F₂, 4, 173) (dual of [(57, 4), 2, 174]-NRT-code)	[i]