MinT - Information on Result #1120885

Information on Result #1120885

Linear OOA(2²²⁹, 47, F₂, 5, 182) (dual of [(47, 5), 6, 183]-NRT-code), using juxtaposition based on

linear OOA(2²⁹, 7, F₂, 5, 26) (dual of [(7, 5), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹⁴, 40, F₂, 5, 155) (dual of [(40, 5), 6, 156]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2⁴⁴, 10, F₂, 5, 38) (dual of [(10, 5), 6, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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		This result only	Method
1	Linear OOA(2²²⁹, 47, F₂, 5, 181) (dual of [(47, 5), 6, 182]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²⁹, 47, F₂, 5, 180) (dual of [(47, 5), 6, 181]-NRT-code)	[i]
3	Linear OOA(2²²⁹, 47, F₂, 5, 179) (dual of [(47, 5), 6, 180]-NRT-code)	[i]
4	Linear OOA(2²²⁹, 47, F₂, 5, 178) (dual of [(47, 5), 6, 179]-NRT-code)	[i]
5	Linear OOA(2²²⁹, 47, F₂, 5, 177) (dual of [(47, 5), 6, 178]-NRT-code)	[i]
6	Linear OOA(2²²⁹, 47, F₂, 5, 176) (dual of [(47, 5), 6, 177]-NRT-code)	[i]
7	Linear OOA(2²²⁹, 47, F₂, 5, 175) (dual of [(47, 5), 6, 176]-NRT-code)	[i]
8	Linear OOA(2²²⁹, 47, F₂, 5, 174) (dual of [(47, 5), 6, 175]-NRT-code)	[i]
9	Linear OOA(2²²⁹, 47, F₂, 5, 173) (dual of [(47, 5), 6, 174]-NRT-code)	[i]
10	Linear OOA(2²²⁹, 47, F₂, 5, 172) (dual of [(47, 5), 6, 173]-NRT-code)	[i]
11	Linear OOA(2²²⁹, 47, F₂, 5, 171) (dual of [(47, 5), 6, 172]-NRT-code)	[i]
12	Linear OOA(2²²⁹, 47, F₂, 5, 170) (dual of [(47, 5), 6, 171]-NRT-code)	[i]
13	Linear OOA(2²²⁹, 47, F₂, 5, 169) (dual of [(47, 5), 6, 170]-NRT-code)	[i]