MinT - Information on Result #1059321

Information on Result #1059321

Linear OOA(2²¹⁴, 54, F₂, 4, 176) (dual of [(54, 4), 2, 177]-NRT-code), using OOA 2-folding based on linear OOA(2²¹⁴, 108, F₂, 2, 176) (dual of [(108, 2), 2, 177]-NRT-code), using

strength reduction [i] based on linear OOA(2²¹⁴, 108, F₂, 2, 179) (dual of [(108, 2), 2, 180]-NRT-code), using
- repeating each code word 36 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(2²¹⁴, 54, F₂, 4, 175) (dual of [(54, 4), 2, 176]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁴, 54, F₂, 4, 174) (dual of [(54, 4), 2, 175]-NRT-code)	[i]
3	Linear OOA(2²¹⁴, 54, F₂, 4, 173) (dual of [(54, 4), 2, 174]-NRT-code)	[i]
4	Linear OOA(2²¹⁴, 54, F₂, 4, 172) (dual of [(54, 4), 2, 173]-NRT-code)	[i]
5	Linear OOA(2²¹⁴, 54, F₂, 4, 171) (dual of [(54, 4), 2, 172]-NRT-code)	[i]
6	Linear OOA(2²¹⁴, 54, F₂, 4, 170) (dual of [(54, 4), 2, 171]-NRT-code)	[i]
7	Linear OOA(2²¹⁴, 54, F₂, 4, 169) (dual of [(54, 4), 2, 170]-NRT-code)	[i]
8	Linear OOA(2²¹⁴, 54, F₂, 4, 168) (dual of [(54, 4), 2, 169]-NRT-code)	[i]
9	Linear OOA(2²¹⁴, 54, F₂, 4, 167) (dual of [(54, 4), 2, 168]-NRT-code)	[i]
10	Linear OOA(2²¹⁴, 54, F₂, 4, 166) (dual of [(54, 4), 2, 167]-NRT-code)	[i]
11	Linear OOA(2²¹⁴, 54, F₂, 4, 165) (dual of [(54, 4), 2, 166]-NRT-code)	[i]