MinT - Information on Result #1058805

Information on Result #1058805

Linear OOA(2¹⁴², 36, F₂, 4, 116) (dual of [(36, 4), 2, 117]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁴², 72, F₂, 2, 116) (dual of [(72, 2), 2, 117]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁴², 72, F₂, 2, 119) (dual of [(72, 2), 2, 120]-NRT-code), using
- repeating each code word 24 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(2¹⁴², 36, F₂, 4, 115) (dual of [(36, 4), 2, 116]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁴², 36, F₂, 4, 114) (dual of [(36, 4), 2, 115]-NRT-code)	[i]
3	Linear OOA(2¹⁴², 36, F₂, 4, 113) (dual of [(36, 4), 2, 114]-NRT-code)	[i]
4	Linear OOA(2¹⁴², 36, F₂, 4, 112) (dual of [(36, 4), 2, 113]-NRT-code)	[i]
5	Linear OOA(2¹⁴², 36, F₂, 4, 111) (dual of [(36, 4), 2, 112]-NRT-code)	[i]
6	Linear OOA(2¹⁴², 36, F₂, 4, 110) (dual of [(36, 4), 2, 111]-NRT-code)	[i]
7	Linear OOA(2¹⁴², 36, F₂, 4, 109) (dual of [(36, 4), 2, 110]-NRT-code)	[i]
8	Linear OOA(2²³⁹, 69, F₂, 4, 116) (dual of [(69, 4), 37, 117]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs