MinT - Information on Result #1170429

Information on Result #1170429

Linear OOA(2²¹⁴, 27, F₂, 8, 190) (dual of [(27, 8), 2, 191]-NRT-code), using OOA 2-folding based on linear OOA(2²¹⁴, 54, F₂, 4, 190) (dual of [(54, 4), 2, 191]-NRT-code), using

strength reduction [i] based on linear OOA(2²¹⁴, 54, F₂, 4, 197) (dual of [(54, 4), 2, 198]-NRT-code), using
- repeating each code word 18 times [i] based on linear OOA(2¹⁰, 3, F₂, 4, 10) (dual of [(3, 4), 2, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;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(2²¹⁴, 27, F₂, 8, 189) (dual of [(27, 8), 2, 190]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁴, 27, F₂, 8, 188) (dual of [(27, 8), 2, 189]-NRT-code)	[i]
3	Linear OOA(2²¹⁴, 27, F₂, 8, 187) (dual of [(27, 8), 2, 188]-NRT-code)	[i]
4	Linear OOA(2²¹⁴, 27, F₂, 8, 186) (dual of [(27, 8), 2, 187]-NRT-code)	[i]
5	Linear OOA(2²¹⁴, 27, F₂, 8, 185) (dual of [(27, 8), 2, 186]-NRT-code)	[i]
6	Linear OOA(2²¹⁴, 27, F₂, 8, 184) (dual of [(27, 8), 2, 185]-NRT-code)	[i]