MinT - Information on Result #1023295

Information on Result #1023295

Linear OOA(2²⁵¹, 85, F₂, 3, 186) (dual of [(85, 3), 4, 187]-NRT-code), using repeating each code word 17 times based on linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;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(2²⁵¹, 85, F₂, 3, 185) (dual of [(85, 3), 4, 186]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵¹, 85, F₂, 3, 184) (dual of [(85, 3), 4, 185]-NRT-code)	[i]
3	Linear OOA(2²⁵¹, 85, F₂, 3, 183) (dual of [(85, 3), 4, 184]-NRT-code)	[i]
4	Linear OOA(2²⁵¹, 85, F₂, 3, 182) (dual of [(85, 3), 4, 183]-NRT-code)	[i]
5	Linear OOA(2²⁵¹, 85, F₂, 3, 181) (dual of [(85, 3), 4, 182]-NRT-code)	[i]
6	Linear OOA(2²⁵¹, 85, F₂, 3, 180) (dual of [(85, 3), 4, 181]-NRT-code)	[i]
7	Linear OOA(2²⁵¹, 85, F₂, 3, 179) (dual of [(85, 3), 4, 180]-NRT-code)	[i]
8	Linear OOA(2²⁵¹, 85, F₂, 3, 178) (dual of [(85, 3), 4, 179]-NRT-code)	[i]
9	Linear OOA(2²⁵¹, 85, F₂, 3, 177) (dual of [(85, 3), 4, 178]-NRT-code)	[i]
10	Linear OOA(2²⁵¹, 85, F₂, 3, 176) (dual of [(85, 3), 4, 177]-NRT-code)	[i]
11	Linear OOA(2²⁴⁸, 84, F₂, 3, 183) (dual of [(84, 3), 4, 184]-NRT-code)	[i]	Truncation for OOAs
12	Linear OOA(2²⁴⁷, 83, F₂, 3, 182) (dual of [(83, 3), 2, 183]-NRT-code)	[i]
13	Linear OOA(2²³⁵, 79, F₂, 3, 170) (dual of [(79, 3), 2, 171]-NRT-code)	[i]
14	Linear OOA(2²³⁴, 79, F₂, 3, 169) (dual of [(79, 3), 3, 170]-NRT-code)	[i]
15	Linear OOA(2²³³, 79, F₂, 3, 168) (dual of [(79, 3), 4, 169]-NRT-code)	[i]
16	Linear OOA(2²²⁹, 77, F₂, 3, 164) (dual of [(77, 3), 2, 165]-NRT-code)	[i]