MinT - Information on Result #1177316

Information on Result #1177316

Linear OOA(2²¹¹, 27, F₂, 8, 188) (dual of [(27, 8), 5, 189]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁶⁷, 9, F₂, 8, 62) (dual of [(9, 8), 5, 63]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(8;F,9P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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(2²¹¹, 27, F₂, 8, 187) (dual of [(27, 8), 5, 188]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹¹, 27, F₂, 8, 186) (dual of [(27, 8), 5, 187]-NRT-code)	[i]
3	Linear OOA(2²¹¹, 27, F₂, 8, 185) (dual of [(27, 8), 5, 186]-NRT-code)	[i]
4	Linear OOA(2²¹¹, 27, F₂, 8, 184) (dual of [(27, 8), 5, 185]-NRT-code)	[i]
5	Linear OOA(2²¹¹, 27, F₂, 8, 183) (dual of [(27, 8), 5, 184]-NRT-code)	[i]
6	Linear OOA(2²¹¹, 27, F₂, 8, 182) (dual of [(27, 8), 5, 183]-NRT-code)	[i]
7	Linear OOA(2²¹¹, 27, F₂, 8, 181) (dual of [(27, 8), 5, 182]-NRT-code)	[i]
8	Linear OOA(2²¹¹, 27, F₂, 8, 180) (dual of [(27, 8), 5, 181]-NRT-code)	[i]
9	Linear OOA(2²¹⁰, 26, F₂, 8, 187)	[i]	Truncation for OOAs
10	Linear OOA(2²⁰⁹, 26, F₂, 8, 186)	[i]
11	Linear OOA(2²⁰², 25, F₂, 8, 179)	[i]
12	Linear OOA(2²⁰¹, 25, F₂, 8, 178)	[i]