MinT - Information on Result #1146257

Information on Result #1146257

Linear OOA(2¹⁸⁹, 32, F₂, 6, 171) (dual of [(32, 6), 3, 172]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
linear OOA(2¹⁷¹, 29, F₂, 6, 155) (dual of [(29, 6), 3, 156]-NRT-code), using
- 6 step truncation [i] based on linear OOA(2¹⁷⁷, 30, F₂, 6, 161) (dual of [(30, 6), 3, 162]-NRT-code), using
  - repeating each code word 6 times [i] based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [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		This result only	Method
1	Linear OOA(2¹⁸⁹, 32, F₂, 6, 170) (dual of [(32, 6), 3, 171]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁸⁹, 32, F₂, 6, 169) (dual of [(32, 6), 3, 170]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁹, 32, F₂, 6, 168) (dual of [(32, 6), 3, 169]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁹, 32, F₂, 6, 167) (dual of [(32, 6), 3, 168]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁹, 32, F₂, 6, 166) (dual of [(32, 6), 3, 167]-NRT-code)	[i]
6	Linear OOA(2¹⁸⁹, 32, F₂, 6, 165) (dual of [(32, 6), 3, 166]-NRT-code)	[i]
7	Linear OOA(2¹⁸⁹, 32, F₂, 6, 164) (dual of [(32, 6), 3, 165]-NRT-code)	[i]
8	Linear OOA(2¹⁸⁹, 32, F₂, 6, 163) (dual of [(32, 6), 3, 164]-NRT-code)	[i]
9	Linear OOA(2¹⁸⁹, 32, F₂, 6, 162) (dual of [(32, 6), 3, 163]-NRT-code)	[i]
10	Linear OOA(2¹⁸⁹, 32, F₂, 6, 161) (dual of [(32, 6), 3, 162]-NRT-code)	[i]
11	Linear OOA(2¹⁸⁹, 32, F₂, 6, 160) (dual of [(32, 6), 3, 161]-NRT-code)	[i]