MinT - Information on Result #1059291

Information on Result #1059291

Linear OOA(2²⁰², 51, F₂, 4, 166) (dual of [(51, 4), 2, 167]-NRT-code), using OOA 2-folding based on linear OOA(2²⁰², 102, F₂, 2, 166) (dual of [(102, 2), 2, 167]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁰², 102, F₂, 2, 169) (dual of [(102, 2), 2, 170]-NRT-code), using
- repeating each code word 34 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(2²⁰², 51, F₂, 4, 165) (dual of [(51, 4), 2, 166]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁰², 51, F₂, 4, 164) (dual of [(51, 4), 2, 165]-NRT-code)	[i]
3	Linear OOA(2²⁰², 51, F₂, 4, 163) (dual of [(51, 4), 2, 164]-NRT-code)	[i]
4	Linear OOA(2²⁰², 51, F₂, 4, 162) (dual of [(51, 4), 2, 163]-NRT-code)	[i]
5	Linear OOA(2²⁰², 51, F₂, 4, 161) (dual of [(51, 4), 2, 162]-NRT-code)	[i]
6	Linear OOA(2²⁰², 51, F₂, 4, 160) (dual of [(51, 4), 2, 161]-NRT-code)	[i]
7	Linear OOA(2²⁰², 51, F₂, 4, 159) (dual of [(51, 4), 2, 160]-NRT-code)	[i]
8	Linear OOA(2²⁰², 51, F₂, 4, 158) (dual of [(51, 4), 2, 159]-NRT-code)	[i]
9	Linear OOA(2²⁰², 51, F₂, 4, 157) (dual of [(51, 4), 2, 158]-NRT-code)	[i]
10	Linear OOA(2²⁰², 51, F₂, 4, 156) (dual of [(51, 4), 2, 157]-NRT-code)	[i]