MinT - Information on Result #1177255

Information on Result #1177255

Linear OOA(2²³⁵, 30, F₂, 8, 209) (dual of [(30, 8), 5, 210]-NRT-code), using repeating each code word 6 times based on linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(8;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]

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(2²³⁵, 30, F₂, 8, 208) (dual of [(30, 8), 5, 209]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²³⁵, 30, F₂, 8, 207) (dual of [(30, 8), 5, 208]-NRT-code)	[i]
3	Linear OOA(2²³⁵, 30, F₂, 8, 206) (dual of [(30, 8), 5, 207]-NRT-code)	[i]
4	Linear OOA(2²³⁵, 30, F₂, 8, 205) (dual of [(30, 8), 5, 206]-NRT-code)	[i]
5	Linear OOA(2²³⁵, 30, F₂, 8, 204) (dual of [(30, 8), 5, 205]-NRT-code)	[i]
6	Linear OOA(2²³⁵, 30, F₂, 8, 203) (dual of [(30, 8), 5, 204]-NRT-code)	[i]
7	Linear OOA(2²³⁵, 30, F₂, 8, 202) (dual of [(30, 8), 5, 203]-NRT-code)	[i]
8	Linear OOA(2²³⁵, 30, F₂, 8, 201) (dual of [(30, 8), 5, 202]-NRT-code)	[i]
9	Linear OOA(2²³⁵, 30, F₂, 8, 200) (dual of [(30, 8), 5, 201]-NRT-code)	[i]
10	Linear OOA(2²³⁴, 29, F₂, 8, 208)	[i]	Truncation for OOAs
11	Linear OOA(2²³³, 29, F₂, 8, 207)	[i]
12	Linear OOA(2²²⁹, 29, F₂, 8, 203) (dual of [(29, 8), 3, 204]-NRT-code)	[i]
13	Linear OOA(2²²⁸, 29, F₂, 8, 202) (dual of [(29, 8), 4, 203]-NRT-code)	[i]
14	Linear OOA(2²²⁶, 28, F₂, 8, 200)	[i]
15	Linear OOA(2²²⁵, 28, F₂, 8, 199)	[i]