MinT - Information on Result #1119853

Information on Result #1119853

Linear OOA(2¹⁹⁶, 40, F₂, 5, 159) (dual of [(40, 5), 4, 160]-NRT-code), using repeating each code word 10 times based on linear OOA(2¹⁶, 4, F₂, 5, 15) (dual of [(4, 5), 4, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁶, 5, F₂, 5, 15) (dual of [(5, 5), 9, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,9P) [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(2¹⁹⁶, 40, F₂, 5, 158) (dual of [(40, 5), 4, 159]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁹⁶, 40, F₂, 5, 157) (dual of [(40, 5), 4, 158]-NRT-code)	[i]
3	Linear OOA(2¹⁹⁶, 40, F₂, 5, 156) (dual of [(40, 5), 4, 157]-NRT-code)	[i]
4	Linear OOA(2¹⁹⁶, 40, F₂, 5, 155) (dual of [(40, 5), 4, 156]-NRT-code)	[i]
5	Linear OOA(2¹⁹⁶, 40, F₂, 5, 154) (dual of [(40, 5), 4, 155]-NRT-code)	[i]
6	Linear OOA(2¹⁹⁶, 40, F₂, 5, 153) (dual of [(40, 5), 4, 154]-NRT-code)	[i]
7	Linear OOA(2¹⁹⁶, 40, F₂, 5, 152) (dual of [(40, 5), 4, 153]-NRT-code)	[i]
8	Linear OOA(2¹⁹⁶, 40, F₂, 5, 151) (dual of [(40, 5), 4, 152]-NRT-code)	[i]
9	Linear OOA(2¹⁹⁶, 40, F₂, 5, 150) (dual of [(40, 5), 4, 151]-NRT-code)	[i]
10	Linear OOA(2¹⁹⁶, 40, F₂, 5, 149) (dual of [(40, 5), 4, 150]-NRT-code)	[i]