MinT - Information on Result #1085492

Information on Result #1085492

Linear OOA(2²¹⁹, 56, F₂, 4, 167) (dual of [(56, 4), 5, 168]-NRT-code), using repeating each code word 8 times based on linear OOA(2²³, 7, F₂, 4, 20) (dual of [(7, 4), 5, 21]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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(2²¹⁹, 56, F₂, 4, 166) (dual of [(56, 4), 5, 167]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁹, 56, F₂, 4, 165) (dual of [(56, 4), 5, 166]-NRT-code)	[i]
3	Linear OOA(2²¹⁹, 56, F₂, 4, 164) (dual of [(56, 4), 5, 165]-NRT-code)	[i]
4	Linear OOA(2²¹⁹, 56, F₂, 4, 163) (dual of [(56, 4), 5, 164]-NRT-code)	[i]
5	Linear OOA(2²¹⁹, 56, F₂, 4, 162) (dual of [(56, 4), 5, 163]-NRT-code)	[i]
6	Linear OOA(2²¹⁹, 56, F₂, 4, 161) (dual of [(56, 4), 5, 162]-NRT-code)	[i]
7	Linear OOA(2²¹⁹, 56, F₂, 4, 160) (dual of [(56, 4), 5, 161]-NRT-code)	[i]
8	Linear OOA(2²¹⁹, 56, F₂, 4, 159) (dual of [(56, 4), 5, 160]-NRT-code)	[i]
9	Linear OOA(2²¹⁹, 56, F₂, 4, 158) (dual of [(56, 4), 5, 159]-NRT-code)	[i]
10	Linear OOA(2²¹⁹, 56, F₂, 4, 157) (dual of [(56, 4), 5, 158]-NRT-code)	[i]
11	Linear OOA(2²¹⁹, 56, F₂, 4, 156) (dual of [(56, 4), 5, 157]-NRT-code)	[i]
12	Linear OOA(2²¹⁹, 56, F₂, 4, 155) (dual of [(56, 4), 5, 156]-NRT-code)	[i]
13	Linear OOA(2²¹⁹, 56, F₂, 4, 154) (dual of [(56, 4), 5, 155]-NRT-code)	[i]
14	Linear OOA(2²³⁹, 61, F₂, 4, 182) (dual of [(61, 4), 5, 183]-NRT-code)	[i]	Juxtaposition for OOAs
15	Linear OOA(2²¹⁹, 28, F₂, 8, 167) (dual of [(28, 8), 5, 168]-NRT-code)	[i]	OOA Folding