MinT - Information on Result #1085452

Information on Result #1085452

Linear OOA(2²¹¹, 54, F₂, 4, 161) (dual of [(54, 4), 5, 162]-NRT-code), using repeating each code word 9 times based on linear OOA(2¹⁹, 6, F₂, 4, 17) (dual of [(6, 4), 5, 18]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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, 54, F₂, 4, 160) (dual of [(54, 4), 5, 161]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹¹, 54, F₂, 4, 159) (dual of [(54, 4), 5, 160]-NRT-code)	[i]
3	Linear OOA(2²¹¹, 54, F₂, 4, 158) (dual of [(54, 4), 5, 159]-NRT-code)	[i]
4	Linear OOA(2²¹¹, 54, F₂, 4, 157) (dual of [(54, 4), 5, 158]-NRT-code)	[i]
5	Linear OOA(2²¹¹, 54, F₂, 4, 156) (dual of [(54, 4), 5, 157]-NRT-code)	[i]
6	Linear OOA(2²¹¹, 54, F₂, 4, 155) (dual of [(54, 4), 5, 156]-NRT-code)	[i]
7	Linear OOA(2²¹¹, 54, F₂, 4, 154) (dual of [(54, 4), 5, 155]-NRT-code)	[i]
8	Linear OOA(2²¹¹, 54, F₂, 4, 153) (dual of [(54, 4), 5, 154]-NRT-code)	[i]
9	Linear OOA(2²¹¹, 54, F₂, 4, 152) (dual of [(54, 4), 5, 153]-NRT-code)	[i]
10	Linear OOA(2²¹¹, 54, F₂, 4, 151) (dual of [(54, 4), 5, 152]-NRT-code)	[i]
11	Linear OOA(2²¹¹, 54, F₂, 4, 150) (dual of [(54, 4), 5, 151]-NRT-code)	[i]
12	Linear OOA(2²³¹, 59, F₂, 4, 176) (dual of [(59, 4), 5, 177]-NRT-code)	[i]	Juxtaposition for OOAs