MinT - Information on Result #1119990

Information on Result #1119990

Linear OOA(2²¹⁸, 45, F₂, 5, 169) (dual of [(45, 5), 7, 170]-NRT-code), using repeating each code word 5 times based on linear OOA(2³⁸, 9, F₂, 5, 33) (dual of [(9, 5), 7, 34]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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(2²¹⁸, 45, F₂, 5, 168) (dual of [(45, 5), 7, 169]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁸, 45, F₂, 5, 167) (dual of [(45, 5), 7, 168]-NRT-code)	[i]
3	Linear OOA(2²¹⁸, 45, F₂, 5, 166) (dual of [(45, 5), 7, 167]-NRT-code)	[i]
4	Linear OOA(2²¹⁸, 45, F₂, 5, 165) (dual of [(45, 5), 7, 166]-NRT-code)	[i]
5	Linear OOA(2²¹⁸, 45, F₂, 5, 164) (dual of [(45, 5), 7, 165]-NRT-code)	[i]
6	Linear OOA(2²¹⁸, 45, F₂, 5, 163) (dual of [(45, 5), 7, 164]-NRT-code)	[i]
7	Linear OOA(2²¹⁸, 45, F₂, 5, 162) (dual of [(45, 5), 7, 163]-NRT-code)	[i]
8	Linear OOA(2²⁵³, 52, F₂, 5, 195) (dual of [(52, 5), 7, 196]-NRT-code)	[i]	Juxtaposition for OOAs
9	Linear OOA(2²⁵⁸, 53, F₂, 5, 199) (dual of [(53, 5), 7, 200]-NRT-code)	[i]	Juxtaposition for OOAs