MinT - Information on Result #909037

Information on Result #909037

Linear OOA(2²⁴¹, 122, F₂, 2, 169) (dual of [(122, 2), 3, 170]-NRT-code), using juxtaposition based on

linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
linear OOA(2²³⁵, 119, F₂, 2, 165) (dual of [(119, 2), 3, 166]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2²³⁷, 120, F₂, 2, 167) (dual of [(120, 2), 3, 168]-NRT-code), using
  - repeating each code word 24 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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(2²⁴¹, 122, F₂, 2, 168) (dual of [(122, 2), 3, 169]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁴¹, 122, F₂, 2, 167) (dual of [(122, 2), 3, 168]-NRT-code)	[i]
3	Linear OOA(2²⁴¹, 122, F₂, 2, 166) (dual of [(122, 2), 3, 167]-NRT-code)	[i]
4	Linear OOA(2²⁴¹, 122, F₂, 2, 165) (dual of [(122, 2), 3, 166]-NRT-code)	[i]
5	Linear OOA(2²⁴¹, 122, F₂, 2, 164) (dual of [(122, 2), 3, 165]-NRT-code)	[i]
6	Linear OOA(2²⁴¹, 122, F₂, 2, 163) (dual of [(122, 2), 3, 164]-NRT-code)	[i]
7	Linear OOA(2²⁴¹, 122, F₂, 2, 162) (dual of [(122, 2), 3, 163]-NRT-code)	[i]
8	Linear OOA(2²⁴¹, 122, F₂, 2, 161) (dual of [(122, 2), 3, 162]-NRT-code)	[i]
9	Linear OOA(2²⁴¹, 122, F₂, 2, 160) (dual of [(122, 2), 3, 161]-NRT-code)	[i]
10	Linear OOA(2²⁴¹, 122, F₂, 2, 159) (dual of [(122, 2), 3, 160]-NRT-code)	[i]
11	Linear OOA(2²⁴¹, 122, F₂, 2, 158) (dual of [(122, 2), 3, 159]-NRT-code)	[i]
12	Linear OOA(2²⁴¹, 122, F₂, 2, 157) (dual of [(122, 2), 3, 158]-NRT-code)	[i]
13	Linear OOA(2²⁴¹, 122, F₂, 2, 156) (dual of [(122, 2), 3, 157]-NRT-code)	[i]
14	Linear OOA(2²⁴¹, 61, F₂, 4, 169) (dual of [(61, 4), 3, 170]-NRT-code)	[i]		OOA Folding