MinT - Information on Result #1120883

Information on Result #1120883

Linear OOA(2²⁰⁹, 43, F₂, 5, 166) (dual of [(43, 5), 6, 167]-NRT-code), using juxtaposition based on

linear OOA(2²⁹, 7, F₂, 5, 26) (dual of [(7, 5), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁷⁴, 36, F₂, 5, 139) (dual of [(36, 5), 6, 140]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2³⁹, 9, F₂, 5, 34) (dual of [(9, 5), 6, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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(2²⁰⁹, 43, F₂, 5, 165) (dual of [(43, 5), 6, 166]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁰⁹, 43, F₂, 5, 164) (dual of [(43, 5), 6, 165]-NRT-code)	[i]
3	Linear OOA(2²⁰⁹, 43, F₂, 5, 163) (dual of [(43, 5), 6, 164]-NRT-code)	[i]
4	Linear OOA(2²⁰⁹, 43, F₂, 5, 162) (dual of [(43, 5), 6, 163]-NRT-code)	[i]
5	Linear OOA(2²⁰⁹, 43, F₂, 5, 161) (dual of [(43, 5), 6, 162]-NRT-code)	[i]
6	Linear OOA(2²⁰⁹, 43, F₂, 5, 160) (dual of [(43, 5), 6, 161]-NRT-code)	[i]
7	Linear OOA(2²⁰⁹, 43, F₂, 5, 159) (dual of [(43, 5), 6, 160]-NRT-code)	[i]
8	Linear OOA(2²⁰⁹, 43, F₂, 5, 158) (dual of [(43, 5), 6, 159]-NRT-code)	[i]
9	Linear OOA(2²⁰⁹, 43, F₂, 5, 157) (dual of [(43, 5), 6, 158]-NRT-code)	[i]
10	Linear OOA(2²⁰⁹, 43, F₂, 5, 156) (dual of [(43, 5), 6, 157]-NRT-code)	[i]
11	Linear OOA(2²⁰⁹, 43, F₂, 5, 155) (dual of [(43, 5), 6, 156]-NRT-code)	[i]
12	Linear OOA(2²⁰⁹, 43, F₂, 5, 154) (dual of [(43, 5), 6, 155]-NRT-code)	[i]
13	Linear OOA(2²⁰⁹, 43, F₂, 5, 153) (dual of [(43, 5), 6, 154]-NRT-code)	[i]