MinT - Information on Result #1120119

Information on Result #1120119

Linear OOA(2²⁴⁵, 51, F₂, 5, 182) (dual of [(51, 5), 10, 183]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁷⁵, 17, F₂, 5, 60) (dual of [(17, 5), 10, 61]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(5;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, 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(2²⁴⁵, 51, F₂, 5, 181) (dual of [(51, 5), 10, 182]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁴⁵, 51, F₂, 5, 180) (dual of [(51, 5), 10, 181]-NRT-code)	[i]
3	Linear OOA(2²⁴⁵, 51, F₂, 5, 179) (dual of [(51, 5), 10, 180]-NRT-code)	[i]
4	Linear OOA(2²⁴⁵, 51, F₂, 5, 178) (dual of [(51, 5), 10, 179]-NRT-code)	[i]
5	Linear OOA(2²⁴⁵, 51, F₂, 5, 177) (dual of [(51, 5), 10, 178]-NRT-code)	[i]
6	Linear OOA(2²⁴⁵, 51, F₂, 5, 176) (dual of [(51, 5), 10, 177]-NRT-code)	[i]
7	Linear OOA(2²⁴⁵, 51, F₂, 5, 175) (dual of [(51, 5), 10, 176]-NRT-code)	[i]
8	Linear OOA(2²⁴⁵, 51, F₂, 5, 174) (dual of [(51, 5), 10, 175]-NRT-code)	[i]