MinT - Information on Result #1146184

Information on Result #1146184

Linear OOA(2²²², 38, F₂, 6, 184) (dual of [(38, 6), 6, 185]-NRT-code), using juxtaposition based on

linear OOA(2³⁰, 6, F₂, 6, 28) (dual of [(6, 6), 6, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;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(2¹⁸⁶, 32, F₂, 6, 155) (dual of [(32, 6), 6, 156]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2⁴², 8, F₂, 6, 38) (dual of [(8, 6), 6, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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(2²²², 38, F₂, 6, 183) (dual of [(38, 6), 6, 184]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²²², 38, F₂, 6, 182) (dual of [(38, 6), 6, 183]-NRT-code)	[i]
3	Linear OOA(2²²², 38, F₂, 6, 181) (dual of [(38, 6), 6, 182]-NRT-code)	[i]
4	Linear OOA(2²²², 38, F₂, 6, 180) (dual of [(38, 6), 6, 181]-NRT-code)	[i]
5	Linear OOA(2²²², 38, F₂, 6, 179) (dual of [(38, 6), 6, 180]-NRT-code)	[i]
6	Linear OOA(2²²², 38, F₂, 6, 178) (dual of [(38, 6), 6, 179]-NRT-code)	[i]
7	Linear OOA(2²²², 38, F₂, 6, 177) (dual of [(38, 6), 6, 178]-NRT-code)	[i]
8	Linear OOA(2²²², 38, F₂, 6, 176) (dual of [(38, 6), 6, 177]-NRT-code)	[i]
9	Linear OOA(2²²², 38, F₂, 6, 175) (dual of [(38, 6), 6, 176]-NRT-code)	[i]
10	Linear OOA(2²²², 38, F₂, 6, 174) (dual of [(38, 6), 6, 175]-NRT-code)	[i]
11	Linear OOA(2²⁵⁸, 44, F₂, 6, 213) (dual of [(44, 6), 6, 214]-NRT-code)	[i]		Juxtaposition for OOAs