MinT - Information on Result #1145819

Information on Result #1145819

Linear OOA(2²³⁶, 40, F₂, 6, 207) (dual of [(40, 6), 4, 208]-NRT-code), using repeating each code word 8 times based on linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(6;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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		Method
1	Linear OOA(2²³⁶, 40, F₂, 6, 206) (dual of [(40, 6), 4, 207]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²³⁶, 40, F₂, 6, 205) (dual of [(40, 6), 4, 206]-NRT-code)	[i]
3	Linear OOA(2²³⁶, 40, F₂, 6, 204) (dual of [(40, 6), 4, 205]-NRT-code)	[i]
4	Linear OOA(2²³⁶, 40, F₂, 6, 203) (dual of [(40, 6), 4, 204]-NRT-code)	[i]
5	Linear OOA(2²³⁶, 40, F₂, 6, 202) (dual of [(40, 6), 4, 203]-NRT-code)	[i]
6	Linear OOA(2²³⁶, 40, F₂, 6, 201) (dual of [(40, 6), 4, 202]-NRT-code)	[i]
7	Linear OOA(2²³⁶, 40, F₂, 6, 200) (dual of [(40, 6), 4, 201]-NRT-code)	[i]
8	Linear OOA(2²³⁵, 39, F₂, 6, 206)	[i]	Truncation for OOAs
9	Linear OOA(2²³⁰, 39, F₂, 6, 201) (dual of [(39, 6), 4, 202]-NRT-code)	[i]
10	Linear OOA(2²²⁹, 38, F₂, 6, 200)	[i]
11	Linear OOA(2²²³, 37, F₂, 6, 194)	[i]
12	Linear OOA(2²¹⁷, 36, F₂, 6, 188)	[i]
13	Linear OOA(2²¹¹, 35, F₂, 6, 182)	[i]
14	Linear OOA(2²⁰⁵, 34, F₂, 6, 176)	[i]
15	Linear OOA(2²⁰¹, 34, F₂, 6, 172) (dual of [(34, 6), 3, 173]-NRT-code)	[i]
16	Linear OOA(2²⁰⁰, 34, F₂, 6, 171) (dual of [(34, 6), 4, 172]-NRT-code)	[i]
17	Linear OOA(2¹⁹⁹, 33, F₂, 6, 170)	[i]
18	Linear OOA(2²⁶⁰, 44, F₂, 6, 227) (dual of [(44, 6), 4, 228]-NRT-code)	[i]	Juxtaposition for OOAs