MinT - Information on Result #1028631

Information on Result #1028631

Linear OOA(2²⁶⁰, 96, F₂, 3, 143) (dual of [(96, 3), 28, 144]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16²⁵, 32, F₁₆, 23) (dual of [32, 7, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(16²⁵, 33, F₁₆, 23) (dual of [33, 8, 24]-code), using
  - extended algebraic-geometric code AG_e(F,9P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
    - a function field by SÃ©mirat [i]
linear OOA(2⁵, 3, F₂, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;4,2) [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(2²⁶⁰, 96, F₂, 3, 142) (dual of [(96, 3), 28, 143]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2²⁶⁰, 96, F₂, 3, 141) (dual of [(96, 3), 28, 142]-NRT-code)	[i]
3	Linear OOA(2²⁶⁰, 96, F₂, 3, 140) (dual of [(96, 3), 28, 141]-NRT-code)	[i]
4	Linear OOA(2²⁶⁰, 96, F₂, 3, 139) (dual of [(96, 3), 28, 140]-NRT-code)	[i]
5	Linear OOA(2²⁶⁰, 96, F₂, 3, 138) (dual of [(96, 3), 28, 139]-NRT-code)	[i]
6	Linear OOA(2²⁵⁹, 95, F₂, 3, 142) (dual of [(95, 3), 26, 143]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(2²⁵⁸, 95, F₂, 3, 141) (dual of [(95, 3), 27, 142]-NRT-code)	[i]
8	Linear OOA(2²⁵⁷, 95, F₂, 3, 140) (dual of [(95, 3), 28, 141]-NRT-code)	[i]
9	Linear OOA(2²⁶⁰, 48, F₂, 6, 143) (dual of [(48, 6), 28, 144]-NRT-code)	[i]		OOA Folding