MinT - Information on Result #1087030

Information on Result #1087030

Linear OOA(2²³⁹, 61, F₂, 4, 182) (dual of [(61, 4), 5, 183]-NRT-code), using juxtaposition based on

linear OOA(2¹⁵, 5, F₂, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²¹⁹, 56, F₂, 4, 167) (dual of [(56, 4), 5, 168]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(2²³, 7, F₂, 4, 20) (dual of [(7, 4), 5, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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(2²³⁹, 61, F₂, 4, 181) (dual of [(61, 4), 5, 182]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²³⁹, 61, F₂, 4, 180) (dual of [(61, 4), 5, 181]-NRT-code)	[i]
3	Linear OOA(2²³⁹, 61, F₂, 4, 179) (dual of [(61, 4), 5, 180]-NRT-code)	[i]
4	Linear OOA(2²³⁹, 61, F₂, 4, 178) (dual of [(61, 4), 5, 179]-NRT-code)	[i]
5	Linear OOA(2²³⁹, 61, F₂, 4, 177) (dual of [(61, 4), 5, 178]-NRT-code)	[i]
6	Linear OOA(2²³⁹, 61, F₂, 4, 176) (dual of [(61, 4), 5, 177]-NRT-code)	[i]
7	Linear OOA(2²³⁹, 61, F₂, 4, 175) (dual of [(61, 4), 5, 176]-NRT-code)	[i]
8	Linear OOA(2²³⁹, 61, F₂, 4, 174) (dual of [(61, 4), 5, 175]-NRT-code)	[i]
9	Linear OOA(2²³⁹, 61, F₂, 4, 173) (dual of [(61, 4), 5, 174]-NRT-code)	[i]
10	Linear OOA(2²³⁹, 61, F₂, 4, 172) (dual of [(61, 4), 5, 173]-NRT-code)	[i]
11	Linear OOA(2²³⁹, 61, F₂, 4, 171) (dual of [(61, 4), 5, 172]-NRT-code)	[i]
12	Linear OOA(2²³⁹, 61, F₂, 4, 170) (dual of [(61, 4), 5, 171]-NRT-code)	[i]
13	Linear OOA(2²³⁹, 61, F₂, 4, 169) (dual of [(61, 4), 5, 170]-NRT-code)	[i]