MinT - Information on Result #1086968

Information on Result #1086968

Linear OOA(2¹⁷⁸, 46, F₂, 4, 132) (dual of [(46, 4), 6, 133]-NRT-code), using juxtaposition based on

linear OOA(2¹⁸, 6, F₂, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁴, 40, F₂, 4, 115) (dual of [(40, 4), 6, 116]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2¹⁷⁸, 46, F₂, 4, 131) (dual of [(46, 4), 6, 132]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁷⁸, 46, F₂, 4, 130) (dual of [(46, 4), 6, 131]-NRT-code)	[i]
3	Linear OOA(2¹⁷⁸, 46, F₂, 4, 129) (dual of [(46, 4), 6, 130]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁸, 46, F₂, 4, 128) (dual of [(46, 4), 6, 129]-NRT-code)	[i]
5	Linear OOA(2¹⁷⁸, 46, F₂, 4, 127) (dual of [(46, 4), 6, 128]-NRT-code)	[i]
6	Linear OOA(2¹⁷⁸, 46, F₂, 4, 126) (dual of [(46, 4), 6, 127]-NRT-code)	[i]
7	Linear OOA(2¹⁷⁸, 46, F₂, 4, 125) (dual of [(46, 4), 6, 126]-NRT-code)	[i]
8	Linear OOA(2¹⁷⁸, 46, F₂, 4, 124) (dual of [(46, 4), 6, 125]-NRT-code)	[i]
9	Linear OOA(2²⁰², 52, F₂, 4, 149) (dual of [(52, 4), 6, 150]-NRT-code)	[i]		Juxtaposition for OOAs
10	Linear OOA(2²⁰⁶, 53, F₂, 4, 152) (dual of [(53, 4), 6, 153]-NRT-code)	[i]		Juxtaposition for OOAs
11	Linear OOA(2¹⁷⁸, 23, F₂, 8, 132) (dual of [(23, 8), 6, 133]-NRT-code)	[i]		OOA Folding