MinT - Information on Result #1146211

Information on Result #1146211

Linear OOA(2¹⁶⁹, 29, F₂, 6, 144) (dual of [(29, 6), 5, 145]-NRT-code), using juxtaposition based on

linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁹, 24, F₂, 6, 119) (dual of [(24, 6), 5, 120]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2³¹, 6, F₂, 6, 29) (dual of [(6, 6), 5, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2¹⁶⁹, 29, F₂, 6, 143) (dual of [(29, 6), 5, 144]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁶⁹, 29, F₂, 6, 142) (dual of [(29, 6), 5, 143]-NRT-code)	[i]
3	Linear OOA(2¹⁶⁹, 29, F₂, 6, 141) (dual of [(29, 6), 5, 142]-NRT-code)	[i]
4	Linear OOA(2¹⁶⁹, 29, F₂, 6, 140) (dual of [(29, 6), 5, 141]-NRT-code)	[i]
5	Linear OOA(2¹⁶⁹, 29, F₂, 6, 139) (dual of [(29, 6), 5, 140]-NRT-code)	[i]
6	Linear OOA(2¹⁶⁹, 29, F₂, 6, 138) (dual of [(29, 6), 5, 139]-NRT-code)	[i]
7	Linear OOA(2¹⁶⁹, 29, F₂, 6, 137) (dual of [(29, 6), 5, 138]-NRT-code)	[i]
8	Linear OOA(2¹⁶⁹, 29, F₂, 6, 136) (dual of [(29, 6), 5, 137]-NRT-code)	[i]
9	Linear OOA(2¹⁶⁹, 29, F₂, 6, 135) (dual of [(29, 6), 5, 136]-NRT-code)	[i]
10	Linear OOA(2¹⁶⁹, 29, F₂, 6, 134) (dual of [(29, 6), 5, 135]-NRT-code)	[i]
11	Linear OOA(2¹⁹⁹, 34, F₂, 6, 169) (dual of [(34, 6), 5, 170]-NRT-code)	[i]		Juxtaposition for OOAs