MinT - Information on Result #1085820

Information on Result #1085820

Linear OOA(2²⁵¹, 66, F₂, 4, 161) (dual of [(66, 4), 13, 162]-NRT-code), using repeating each code word 2 times based on linear OOA(2¹¹⁹, 33, F₂, 4, 80) (dual of [(33, 4), 13, 81]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,51P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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, 66, F₂, 4, 160) (dual of [(66, 4), 13, 161]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵¹, 66, F₂, 4, 159) (dual of [(66, 4), 13, 160]-NRT-code)	[i]
3	Linear OOA(2²⁵¹, 66, F₂, 4, 158) (dual of [(66, 4), 13, 159]-NRT-code)	[i]
4	Linear OOA(2²⁵¹, 66, F₂, 4, 157) (dual of [(66, 4), 13, 158]-NRT-code)	[i]