MinT - Information on Result #913236

Information on Result #913236

Linear OOA(3²⁴⁸, 148, F₃, 2, 129) (dual of [(148, 2), 48, 130]-NRT-code), using concatenation of two NRT-codes based on

linear OA(81²⁵, 37, F₈₁, 25) (dual of [37, 12, 26]-code or 37-arc in PG(24,81)), using
- discarding factors / shortening the dual code based on linear OA(81²⁵, 81, F₈₁, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
  - Reedâ€“Solomon code RS(56,81) [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(3²⁴⁸, 148, F₃, 2, 128) (dual of [(148, 2), 48, 129]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁸, 148, F₃, 2, 127) (dual of [(148, 2), 48, 128]-NRT-code)	[i]
3	Linear OOA(3²⁴⁸, 148, F₃, 2, 126) (dual of [(148, 2), 48, 127]-NRT-code)	[i]
4	Linear OOA(3²⁵⁰, 149, F₃, 2, 129) (dual of [(149, 2), 48, 130]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(3²⁴⁹, 148, F₃, 2, 129) (dual of [(148, 2), 47, 130]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3²⁴⁷, 147, F₃, 2, 128) (dual of [(147, 2), 47, 129]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(3²⁴⁶, 147, F₃, 2, 127) (dual of [(147, 2), 48, 128]-NRT-code)	[i]
8	Linear OOA(3²⁴⁵, 146, F₃, 2, 126) (dual of [(146, 2), 47, 127]-NRT-code)	[i]
9	Linear OOA(3²⁴⁴, 146, F₃, 2, 125) (dual of [(146, 2), 48, 126]-NRT-code)	[i]
10	Linear OOA(3²⁴³, 145, F₃, 2, 124) (dual of [(145, 2), 47, 125]-NRT-code)	[i]
11	Linear OOA(3²⁴², 145, F₃, 2, 123) (dual of [(145, 2), 48, 124]-NRT-code)	[i]
12	Linear OOA(3²⁴⁸, 74, F₃, 4, 129) (dual of [(74, 4), 48, 130]-NRT-code)	[i]		OOA Folding