MinT - Information on Result #1087023

Information on Result #1087023

Linear OOA(2¹⁸³, 47, F₂, 4, 140) (dual of [(47, 4), 5, 141]-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(2¹⁶³, 42, F₂, 4, 125) (dual of [(42, 4), 5, 126]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(2¹⁹, 6, F₂, 4, 17) (dual of [(6, 4), 5, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,6P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2¹⁸³, 47, F₂, 4, 139) (dual of [(47, 4), 5, 140]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁸³, 47, F₂, 4, 138) (dual of [(47, 4), 5, 139]-NRT-code)	[i]
3	Linear OOA(2¹⁸³, 47, F₂, 4, 137) (dual of [(47, 4), 5, 138]-NRT-code)	[i]
4	Linear OOA(2¹⁸³, 47, F₂, 4, 136) (dual of [(47, 4), 5, 137]-NRT-code)	[i]
5	Linear OOA(2¹⁸³, 47, F₂, 4, 135) (dual of [(47, 4), 5, 136]-NRT-code)	[i]
6	Linear OOA(2¹⁸³, 47, F₂, 4, 134) (dual of [(47, 4), 5, 135]-NRT-code)	[i]
7	Linear OOA(2¹⁸³, 47, F₂, 4, 133) (dual of [(47, 4), 5, 134]-NRT-code)	[i]
8	Linear OOA(2¹⁸³, 47, F₂, 4, 132) (dual of [(47, 4), 5, 133]-NRT-code)	[i]
9	Linear OOA(2¹⁸³, 47, F₂, 4, 131) (dual of [(47, 4), 5, 132]-NRT-code)	[i]
10	Linear OOA(2¹⁸³, 47, F₂, 4, 130) (dual of [(47, 4), 5, 131]-NRT-code)	[i]
11	Linear OOA(2¹⁸³, 47, F₂, 4, 129) (dual of [(47, 4), 5, 130]-NRT-code)	[i]
12	Linear OOA(2¹⁸³, 47, F₂, 4, 128) (dual of [(47, 4), 5, 129]-NRT-code)	[i]
13	Linear OOA(2²⁰³, 52, F₂, 4, 155) (dual of [(52, 4), 5, 156]-NRT-code)	[i]		Juxtaposition for OOAs