MinT - Information on Result #1145794

Information on Result #1145794

Linear OOA(2¹⁸⁸, 32, F₂, 6, 159) (dual of [(32, 6), 4, 160]-NRT-code), using repeating each code word 8 times based on linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2²⁰, 5, F₂, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;F,10P) [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(2¹⁸⁸, 32, F₂, 6, 158) (dual of [(32, 6), 4, 159]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁸⁸, 32, F₂, 6, 157) (dual of [(32, 6), 4, 158]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁸, 32, F₂, 6, 156) (dual of [(32, 6), 4, 157]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁸, 32, F₂, 6, 155) (dual of [(32, 6), 4, 156]-NRT-code)	[i]
5	Linear OOA(2¹⁸⁸, 32, F₂, 6, 154) (dual of [(32, 6), 4, 155]-NRT-code)	[i]
6	Linear OOA(2¹⁸⁸, 32, F₂, 6, 153) (dual of [(32, 6), 4, 154]-NRT-code)	[i]
7	Linear OOA(2¹⁸⁸, 32, F₂, 6, 152) (dual of [(32, 6), 4, 153]-NRT-code)	[i]
8	Linear OOA(2¹⁸⁸, 32, F₂, 6, 151) (dual of [(32, 6), 4, 152]-NRT-code)	[i]
9	Linear OOA(2¹⁸⁸, 32, F₂, 6, 150) (dual of [(32, 6), 4, 151]-NRT-code)	[i]