MinT - Information on Result #913227

Information on Result #913227

Linear OOA(3²³⁶, 144, F₃, 2, 119) (dual of [(144, 2), 52, 120]-NRT-code), using concatenation of two NRT-codes based on

linear OA(81²³, 36, F₈₁, 23) (dual of [36, 13, 24]-code or 36-arc in PG(22,81)), using
- discarding factors / shortening the dual code based on linear OA(81²³, 81, F₈₁, 23) (dual of [81, 58, 24]-code or 81-arc in PG(22,81)), using
  - Reedâ€“Solomon code RS(58,81) [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, 144, F₃, 2, 118) (dual of [(144, 2), 52, 119]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²³⁶, 144, F₃, 2, 117) (dual of [(144, 2), 52, 118]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3²³⁸, 145, F₃, 2, 119) (dual of [(145, 2), 52, 120]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3²³⁵, 143, F₃, 2, 118) (dual of [(143, 2), 51, 119]-NRT-code)	[i]		Truncation for OOAs
5	Linear OOA(3²³⁴, 143, F₃, 2, 117) (dual of [(143, 2), 52, 118]-NRT-code)	[i]
6	Linear OOA(3²³³, 142, F₃, 2, 116) (dual of [(142, 2), 51, 117]-NRT-code)	[i]
7	Linear OOA(3²³², 142, F₃, 2, 115) (dual of [(142, 2), 52, 116]-NRT-code)	[i]
8	Linear OOA(3²³⁰, 141, F₃, 2, 113) (dual of [(141, 2), 52, 114]-NRT-code)	[i]
9	Linear OOA(3²²⁹, 140, F₃, 2, 112) (dual of [(140, 2), 51, 113]-NRT-code)	[i]
10	Linear OOA(3²³⁶, 72, F₃, 4, 119) (dual of [(72, 4), 52, 120]-NRT-code)	[i]		OOA Folding