MinT - Information on Result #1087019

Information on Result #1087019

Linear OOA(2¹⁵⁹, 41, F₂, 4, 122) (dual of [(41, 4), 5, 123]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;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, 36, F₂, 4, 107) (dual of [(36, 4), 5, 108]-NRT-code), using
- repeating each code word 6 times [i] based on linear OOA(2¹⁹, 6, F₂, 4, 17) (dual of [(6, 4), 5, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2¹⁵⁹, 41, F₂, 4, 121) (dual of [(41, 4), 5, 122]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁵⁹, 41, F₂, 4, 120) (dual of [(41, 4), 5, 121]-NRT-code)	[i]
3	Linear OOA(2¹⁵⁹, 41, F₂, 4, 119) (dual of [(41, 4), 5, 120]-NRT-code)	[i]
4	Linear OOA(2¹⁵⁹, 41, F₂, 4, 118) (dual of [(41, 4), 5, 119]-NRT-code)	[i]
5	Linear OOA(2¹⁵⁹, 41, F₂, 4, 117) (dual of [(41, 4), 5, 118]-NRT-code)	[i]
6	Linear OOA(2¹⁵⁹, 41, F₂, 4, 116) (dual of [(41, 4), 5, 117]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁹, 41, F₂, 4, 115) (dual of [(41, 4), 5, 116]-NRT-code)	[i]
8	Linear OOA(2¹⁵⁹, 41, F₂, 4, 114) (dual of [(41, 4), 5, 115]-NRT-code)	[i]
9	Linear OOA(2¹⁵⁹, 41, F₂, 4, 113) (dual of [(41, 4), 5, 114]-NRT-code)	[i]
10	Linear OOA(2¹⁵⁹, 41, F₂, 4, 112) (dual of [(41, 4), 5, 113]-NRT-code)	[i]
11	Linear OOA(2¹⁵⁹, 41, F₂, 4, 111) (dual of [(41, 4), 5, 112]-NRT-code)	[i]
12	Linear OOA(2¹⁷⁹, 46, F₂, 4, 137) (dual of [(46, 4), 5, 138]-NRT-code)	[i]		Juxtaposition for OOAs