MinT - Information on Result #1087034

Information on Result #1087034

Linear OOA(2¹⁸⁰, 46, F₂, 4, 144) (dual of [(46, 4), 4, 145]-NRT-code), using juxtaposition based on

linear OOA(2¹², 4, F₂, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹², 5, F₂, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,8P) [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(2¹⁶⁴, 42, F₂, 4, 132) (dual of [(42, 4), 4, 133]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(2²⁰, 6, F₂, 4, 18) (dual of [(6, 4), 4, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,5P) [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(2¹⁸⁰, 46, F₂, 4, 143) (dual of [(46, 4), 4, 144]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁸⁰, 46, F₂, 4, 142) (dual of [(46, 4), 4, 143]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁰, 46, F₂, 4, 141) (dual of [(46, 4), 4, 142]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁰, 46, F₂, 4, 140) (dual of [(46, 4), 4, 141]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁰, 46, F₂, 4, 139) (dual of [(46, 4), 4, 140]-NRT-code)	[i]
6	Linear OOA(2¹⁸⁰, 46, F₂, 4, 138) (dual of [(46, 4), 4, 139]-NRT-code)	[i]
7	Linear OOA(2¹⁸⁰, 46, F₂, 4, 137) (dual of [(46, 4), 4, 138]-NRT-code)	[i]
8	Linear OOA(2¹⁸⁰, 46, F₂, 4, 136) (dual of [(46, 4), 4, 137]-NRT-code)	[i]
9	Linear OOA(2¹⁸⁰, 46, F₂, 4, 135) (dual of [(46, 4), 4, 136]-NRT-code)	[i]
10	Linear OOA(2¹⁸⁰, 46, F₂, 4, 134) (dual of [(46, 4), 4, 135]-NRT-code)	[i]
11	Linear OOA(2¹⁸⁰, 46, F₂, 4, 133) (dual of [(46, 4), 4, 134]-NRT-code)	[i]
12	Linear OOA(2¹⁸⁰, 46, F₂, 4, 132) (dual of [(46, 4), 4, 133]-NRT-code)	[i]
13	Linear OOA(2¹⁸⁰, 23, F₂, 8, 144) (dual of [(23, 8), 4, 145]-NRT-code)	[i]		OOA Folding