MinT - Information on Result #913232

Information on Result #913232

Linear OOA(3²⁴⁴, 148, F₃, 2, 124) (dual of [(148, 2), 52, 125]-NRT-code), using concatenation of two NRT-codes based on

linear OA(81²⁴, 37, F₈₁, 24) (dual of [37, 13, 25]-code or 37-arc in PG(23,81)), using
- discarding factors / shortening the dual code based on linear OA(81²⁴, 81, F₈₁, 24) (dual of [81, 57, 25]-code or 81-arc in PG(23,81)), using
  - Reedâ€“Solomon code RS(57,81) [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(3²⁴⁴, 148, F₃, 2, 123) (dual of [(148, 2), 52, 124]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁴⁴, 148, F₃, 2, 122) (dual of [(148, 2), 52, 123]-NRT-code)	[i]
3	Linear OOA(3²⁴⁴, 148, F₃, 2, 121) (dual of [(148, 2), 52, 122]-NRT-code)	[i]
4	Linear OOA(3²⁴⁶, 149, F₃, 2, 124) (dual of [(149, 2), 52, 125]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
5	Linear OOA(3²⁴⁵, 148, F₃, 2, 124) (dual of [(148, 2), 51, 125]-NRT-code)	[i]		OOA Duplication
6	Linear OOA(3²⁴³, 147, F₃, 2, 123) (dual of [(147, 2), 51, 124]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(3²⁴², 147, F₃, 2, 122) (dual of [(147, 2), 52, 123]-NRT-code)	[i]
8	Linear OOA(3²⁴¹, 146, F₃, 2, 121) (dual of [(146, 2), 51, 122]-NRT-code)	[i]
9	Linear OOA(3²⁴⁰, 146, F₃, 2, 120) (dual of [(146, 2), 52, 121]-NRT-code)	[i]
10	Linear OOA(3²³⁹, 145, F₃, 2, 119) (dual of [(145, 2), 51, 120]-NRT-code)	[i]
11	Linear OOA(3²³⁸, 145, F₃, 2, 118) (dual of [(145, 2), 52, 119]-NRT-code)	[i]
12	Linear OOA(3²⁴⁴, 74, F₃, 4, 124) (dual of [(74, 4), 52, 125]-NRT-code)	[i]		OOA Folding