MinT - Information on Result #913217

Information on Result #913217

Linear OOA(3²³⁶, 148, F₃, 2, 114) (dual of [(148, 2), 60, 115]-NRT-code), using concatenation of two NRT-codes based on

linear OA(81²², 37, F₈₁, 22) (dual of [37, 15, 23]-code or 37-arc in PG(21,81)), using
- discarding factors / shortening the dual code based on linear OA(81²², 81, F₈₁, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
  - Reedâ€“Solomon code RS(59,81) [i]
linear OOA(3⁴, 4, F₃, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;4,3) [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(3²³⁶, 148, F₃, 2, 113) (dual of [(148, 2), 60, 114]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²³⁶, 148, F₃, 2, 112) (dual of [(148, 2), 60, 113]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3²³⁸, 149, F₃, 2, 114) (dual of [(149, 2), 60, 115]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3²³⁷, 148, F₃, 2, 114) (dual of [(148, 2), 59, 115]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3²³⁵, 147, F₃, 2, 113) (dual of [(147, 2), 59, 114]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(3²³⁴, 147, F₃, 2, 112) (dual of [(147, 2), 60, 113]-NRT-code)	[i]
7	Linear OOA(3²³³, 146, F₃, 2, 111) (dual of [(146, 2), 59, 112]-NRT-code)	[i]
8	Linear OOA(3²³², 146, F₃, 2, 110) (dual of [(146, 2), 60, 111]-NRT-code)	[i]
9	Linear OOA(3²³¹, 145, F₃, 2, 109) (dual of [(145, 2), 59, 110]-NRT-code)	[i]
10	Linear OOA(3²³⁰, 145, F₃, 2, 108) (dual of [(145, 2), 60, 109]-NRT-code)	[i]
11	Linear OOA(3²²⁹, 144, F₃, 2, 107) (dual of [(144, 2), 59, 108]-NRT-code)	[i]
12	Linear OOA(3²³⁶, 74, F₃, 4, 114) (dual of [(74, 4), 60, 115]-NRT-code)	[i]		OOA Folding