MinT - Information on Result #1119869

Information on Result #1119869

Linear OOA(2²¹⁹, 45, F₂, 5, 170) (dual of [(45, 5), 6, 171]-NRT-code), using repeating each code word 9 times based on linear OOA(2¹⁹, 5, F₂, 5, 18) (dual of [(5, 5), 6, 19]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(5;F,6P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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, 45, F₂, 5, 169) (dual of [(45, 5), 6, 170]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁹, 45, F₂, 5, 168) (dual of [(45, 5), 6, 169]-NRT-code)	[i]
3	Linear OOA(2²¹⁹, 45, F₂, 5, 167) (dual of [(45, 5), 6, 168]-NRT-code)	[i]
4	Linear OOA(2²¹⁹, 45, F₂, 5, 166) (dual of [(45, 5), 6, 167]-NRT-code)	[i]
5	Linear OOA(2²¹⁹, 45, F₂, 5, 165) (dual of [(45, 5), 6, 166]-NRT-code)	[i]
6	Linear OOA(2²¹⁹, 45, F₂, 5, 164) (dual of [(45, 5), 6, 165]-NRT-code)	[i]
7	Linear OOA(2²¹⁹, 45, F₂, 5, 163) (dual of [(45, 5), 6, 164]-NRT-code)	[i]
8	Linear OOA(2²¹⁹, 45, F₂, 5, 162) (dual of [(45, 5), 6, 163]-NRT-code)	[i]
9	Linear OOA(2²¹⁹, 45, F₂, 5, 161) (dual of [(45, 5), 6, 162]-NRT-code)	[i]