MinT - Information on Result #1137427

Information on Result #1137427

Linear OOA(2¹⁶⁰, 27, F₂, 6, 138) (dual of [(27, 6), 2, 139]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁶⁰, 54, F₂, 3, 138) (dual of [(54, 3), 2, 139]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁶⁰, 54, F₂, 3, 143) (dual of [(54, 3), 2, 144]-NRT-code), using
- repeating each code word 18 times [i] based on linear OOA(2⁷, 3, F₂, 3, 7) (dual of [(3, 3), 2, 8]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;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(2¹⁶⁰, 27, F₂, 6, 137) (dual of [(27, 6), 2, 138]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁶⁰, 27, F₂, 6, 136) (dual of [(27, 6), 2, 137]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁰, 27, F₂, 6, 135) (dual of [(27, 6), 2, 136]-NRT-code)	[i]
4	Linear OOA(2¹⁶⁰, 27, F₂, 6, 134) (dual of [(27, 6), 2, 135]-NRT-code)	[i]
5	Linear OOA(2¹⁶⁰, 27, F₂, 6, 133) (dual of [(27, 6), 2, 134]-NRT-code)	[i]
6	Linear OOA(2¹⁶⁰, 27, F₂, 6, 132) (dual of [(27, 6), 2, 133]-NRT-code)	[i]