MinT - Information on Result #1145795

Information on Result #1145795

Linear OOA(2²³⁶, 40, F₂, 6, 199) (dual of [(40, 6), 4, 200]-NRT-code), using repeating each code word 10 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(2²³⁶, 40, F₂, 6, 198) (dual of [(40, 6), 4, 199]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²³⁶, 40, F₂, 6, 197) (dual of [(40, 6), 4, 198]-NRT-code)	[i]
3	Linear OOA(2²³⁶, 40, F₂, 6, 196) (dual of [(40, 6), 4, 197]-NRT-code)	[i]
4	Linear OOA(2²³⁶, 40, F₂, 6, 195) (dual of [(40, 6), 4, 196]-NRT-code)	[i]
5	Linear OOA(2²³⁶, 40, F₂, 6, 194) (dual of [(40, 6), 4, 195]-NRT-code)	[i]
6	Linear OOA(2²³⁶, 40, F₂, 6, 193) (dual of [(40, 6), 4, 194]-NRT-code)	[i]
7	Linear OOA(2²³⁶, 40, F₂, 6, 192) (dual of [(40, 6), 4, 193]-NRT-code)	[i]
8	Linear OOA(2²³⁶, 40, F₂, 6, 191) (dual of [(40, 6), 4, 192]-NRT-code)	[i]
9	Linear OOA(2²³⁶, 40, F₂, 6, 190) (dual of [(40, 6), 4, 191]-NRT-code)	[i]
10	Linear OOA(2²³⁶, 40, F₂, 6, 189) (dual of [(40, 6), 4, 190]-NRT-code)	[i]
11	Linear OOA(2²³⁶, 40, F₂, 6, 188) (dual of [(40, 6), 4, 189]-NRT-code)	[i]