MinT - Information on Result #1059357

Information on Result #1059357

Linear OOA(2²⁵⁰, 63, F₂, 4, 206) (dual of [(63, 4), 2, 207]-NRT-code), using OOA 2-folding based on linear OOA(2²⁵⁰, 126, F₂, 2, 206) (dual of [(126, 2), 2, 207]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁰, 126, F₂, 2, 209) (dual of [(126, 2), 2, 210]-NRT-code), using
- repeating each code word 42 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(2²⁵⁰, 63, F₂, 4, 205) (dual of [(63, 4), 2, 206]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁰, 63, F₂, 4, 204) (dual of [(63, 4), 2, 205]-NRT-code)	[i]
3	Linear OOA(2²⁵⁰, 63, F₂, 4, 203) (dual of [(63, 4), 2, 204]-NRT-code)	[i]
4	Linear OOA(2²⁵⁰, 63, F₂, 4, 202) (dual of [(63, 4), 2, 203]-NRT-code)	[i]
5	Linear OOA(2²⁵⁰, 63, F₂, 4, 201) (dual of [(63, 4), 2, 202]-NRT-code)	[i]
6	Linear OOA(2²⁵⁰, 63, F₂, 4, 200) (dual of [(63, 4), 2, 201]-NRT-code)	[i]
7	Linear OOA(2²⁵⁰, 63, F₂, 4, 199) (dual of [(63, 4), 2, 200]-NRT-code)	[i]
8	Linear OOA(2²⁵⁰, 63, F₂, 4, 198) (dual of [(63, 4), 2, 199]-NRT-code)	[i]
9	Linear OOA(2²⁵⁰, 63, F₂, 4, 197) (dual of [(63, 4), 2, 198]-NRT-code)	[i]
10	Linear OOA(2²⁵⁰, 63, F₂, 4, 196) (dual of [(63, 4), 2, 197]-NRT-code)	[i]
11	Linear OOA(2²⁵⁰, 63, F₂, 4, 195) (dual of [(63, 4), 2, 196]-NRT-code)	[i]
12	Linear OOA(2²⁵⁰, 63, F₂, 4, 194) (dual of [(63, 4), 2, 195]-NRT-code)	[i]
13	Linear OOA(2²⁵⁰, 63, F₂, 4, 193) (dual of [(63, 4), 2, 194]-NRT-code)	[i]
14	Linear OOA(2²⁵⁰, 63, F₂, 4, 192) (dual of [(63, 4), 2, 193]-NRT-code)	[i]
15	Linear OOA(2²⁵⁰, 63, F₂, 4, 191) (dual of [(63, 4), 2, 192]-NRT-code)	[i]