MinT - Information on Result #909028

Information on Result #909028

Linear OOA(2²¹¹, 107, F₂, 2, 148) (dual of [(107, 2), 3, 149]-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(2²⁰⁵, 104, F₂, 2, 144) (dual of [(104, 2), 3, 145]-NRT-code), using
- 2 step truncation [i] based on linear OOA(2²⁰⁷, 105, F₂, 2, 146) (dual of [(105, 2), 3, 147]-NRT-code), using
  - repeating each code word 21 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(2²¹¹, 107, F₂, 2, 147) (dual of [(107, 2), 3, 148]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²¹¹, 107, F₂, 2, 146) (dual of [(107, 2), 3, 147]-NRT-code)	[i]
3	Linear OOA(2²¹¹, 107, F₂, 2, 145) (dual of [(107, 2), 3, 146]-NRT-code)	[i]
4	Linear OOA(2²¹¹, 107, F₂, 2, 144) (dual of [(107, 2), 3, 145]-NRT-code)	[i]
5	Linear OOA(2²¹¹, 107, F₂, 2, 143) (dual of [(107, 2), 3, 144]-NRT-code)	[i]
6	Linear OOA(2²¹¹, 107, F₂, 2, 142) (dual of [(107, 2), 3, 143]-NRT-code)	[i]
7	Linear OOA(2²¹¹, 107, F₂, 2, 141) (dual of [(107, 2), 3, 142]-NRT-code)	[i]
8	Linear OOA(2²¹¹, 107, F₂, 2, 140) (dual of [(107, 2), 3, 141]-NRT-code)	[i]
9	Linear OOA(2²¹¹, 107, F₂, 2, 139) (dual of [(107, 2), 3, 140]-NRT-code)	[i]
10	Linear OOA(2²¹¹, 107, F₂, 2, 138) (dual of [(107, 2), 3, 139]-NRT-code)	[i]
11	Linear OOA(2²¹¹, 107, F₂, 2, 137) (dual of [(107, 2), 3, 138]-NRT-code)	[i]
12	Linear OOA(2²¹¹, 107, F₂, 2, 136) (dual of [(107, 2), 3, 137]-NRT-code)	[i]