MinT - Information on Result #1120913

Information on Result #1120913

Linear OOA(2²³⁰, 47, F₂, 5, 187) (dual of [(47, 5), 5, 188]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 5, F₂, 5, 19) (dual of [(5, 5), 5, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;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(2²⁰⁵, 42, F₂, 5, 167) (dual of [(42, 5), 5, 168]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(2²⁵, 6, F₂, 5, 23) (dual of [(6, 5), 5, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;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(2²³⁰, 47, F₂, 5, 186) (dual of [(47, 5), 5, 187]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁰, 47, F₂, 5, 185) (dual of [(47, 5), 5, 186]-NRT-code)	[i]
3	Linear OOA(2²³⁰, 47, F₂, 5, 184) (dual of [(47, 5), 5, 185]-NRT-code)	[i]
4	Linear OOA(2²³⁰, 47, F₂, 5, 183) (dual of [(47, 5), 5, 184]-NRT-code)	[i]
5	Linear OOA(2²³⁰, 47, F₂, 5, 182) (dual of [(47, 5), 5, 183]-NRT-code)	[i]
6	Linear OOA(2²³⁰, 47, F₂, 5, 181) (dual of [(47, 5), 5, 182]-NRT-code)	[i]
7	Linear OOA(2²³⁰, 47, F₂, 5, 180) (dual of [(47, 5), 5, 181]-NRT-code)	[i]
8	Linear OOA(2²³⁰, 47, F₂, 5, 179) (dual of [(47, 5), 5, 180]-NRT-code)	[i]
9	Linear OOA(2²³⁰, 47, F₂, 5, 178) (dual of [(47, 5), 5, 179]-NRT-code)	[i]
10	Linear OOA(2²³⁰, 47, F₂, 5, 177) (dual of [(47, 5), 5, 178]-NRT-code)	[i]
11	Linear OOA(2²³⁰, 47, F₂, 5, 176) (dual of [(47, 5), 5, 177]-NRT-code)	[i]
12	Linear OOA(2²³⁰, 47, F₂, 5, 175) (dual of [(47, 5), 5, 176]-NRT-code)	[i]
13	Linear OOA(2²³⁰, 47, F₂, 5, 174) (dual of [(47, 5), 5, 175]-NRT-code)	[i]
14	Linear OOA(2²³⁰, 47, F₂, 5, 173) (dual of [(47, 5), 5, 174]-NRT-code)	[i]
15	Linear OOA(2²³⁰, 47, F₂, 5, 172) (dual of [(47, 5), 5, 173]-NRT-code)	[i]
16	Linear OOA(2²⁵⁵, 52, F₂, 5, 207) (dual of [(52, 5), 5, 208]-NRT-code)	[i]		Juxtaposition for OOAs