MinT - Information on Result #1058677

Information on Result #1058677

Linear OOA(2¹³⁴, 34, F₂, 4, 110) (dual of [(34, 4), 2, 111]-NRT-code), using OOA 2-folding based on linear OOA(2¹³⁴, 68, F₂, 2, 110) (dual of [(68, 2), 2, 111]-NRT-code), using

14 step truncation [i] based on linear OOA(2¹⁴⁸, 75, F₂, 2, 124) (dual of [(75, 2), 2, 125]-NRT-code), using
- repeating each code word 25 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(2¹³⁴, 34, F₂, 4, 109) (dual of [(34, 4), 2, 110]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹³⁴, 34, F₂, 4, 108) (dual of [(34, 4), 2, 109]-NRT-code)	[i]
3	Linear OOA(2¹³⁴, 34, F₂, 4, 107) (dual of [(34, 4), 2, 108]-NRT-code)	[i]
4	Linear OOA(2¹³⁴, 34, F₂, 4, 106) (dual of [(34, 4), 2, 107]-NRT-code)	[i]
5	Linear OOA(2¹³⁴, 34, F₂, 4, 105) (dual of [(34, 4), 2, 106]-NRT-code)	[i]
6	Linear OOA(2¹³⁴, 34, F₂, 4, 104) (dual of [(34, 4), 2, 105]-NRT-code)	[i]
7	Linear OOA(2¹³⁴, 34, F₂, 4, 103) (dual of [(34, 4), 2, 104]-NRT-code)	[i]
8	Linear OOA(2²²⁸, 67, F₂, 4, 110) (dual of [(67, 4), 40, 111]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs