MinT - Information on Result #1146215

Information on Result #1146215

Linear OOA(2²¹⁷, 37, F₂, 6, 184) (dual of [(37, 6), 5, 185]-NRT-code), using juxtaposition based on

linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;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(2¹⁸⁷, 32, F₂, 6, 159) (dual of [(32, 6), 5, 160]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(2⁴³, 8, F₂, 6, 39) (dual of [(8, 6), 5, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,8P) [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(2²¹⁷, 37, F₂, 6, 183) (dual of [(37, 6), 5, 184]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹⁷, 37, F₂, 6, 182) (dual of [(37, 6), 5, 183]-NRT-code)	[i]
3	Linear OOA(2²¹⁷, 37, F₂, 6, 181) (dual of [(37, 6), 5, 182]-NRT-code)	[i]
4	Linear OOA(2²¹⁷, 37, F₂, 6, 180) (dual of [(37, 6), 5, 181]-NRT-code)	[i]
5	Linear OOA(2²¹⁷, 37, F₂, 6, 179) (dual of [(37, 6), 5, 180]-NRT-code)	[i]
6	Linear OOA(2²¹⁷, 37, F₂, 6, 178) (dual of [(37, 6), 5, 179]-NRT-code)	[i]
7	Linear OOA(2²¹⁷, 37, F₂, 6, 177) (dual of [(37, 6), 5, 178]-NRT-code)	[i]
8	Linear OOA(2²¹⁷, 37, F₂, 6, 176) (dual of [(37, 6), 5, 177]-NRT-code)	[i]
9	Linear OOA(2²¹⁷, 37, F₂, 6, 175) (dual of [(37, 6), 5, 176]-NRT-code)	[i]
10	Linear OOA(2²¹⁷, 37, F₂, 6, 174) (dual of [(37, 6), 5, 175]-NRT-code)	[i]
11	Linear OOA(2²¹⁷, 37, F₂, 6, 173) (dual of [(37, 6), 5, 174]-NRT-code)	[i]
12	Linear OOA(2²¹⁷, 37, F₂, 6, 172) (dual of [(37, 6), 5, 173]-NRT-code)	[i]
13	Linear OOA(2²⁰⁰, 34, F₂, 6, 167) (dual of [(34, 6), 4, 168]-NRT-code)	[i]		Truncation for OOAs