MinT - Information on Result #640716

Information on Result #640716

Linear OA(9¹³¹, 145, F₉, 91) (dual of [145, 14, 92]-code), using concatenation of two codes based on

linear OA(81²², 29, F₈₁, 22) (dual of [29, 7, 23]-code or 29-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 OA(9³, 5, F₉, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,9) or 5-cap in PG(2,9)), using
- discarding factors / shortening the dual code based on linear OA(9³, 9, F₉, 3) (dual of [9, 6, 4]-code or 9-arc in PG(2,9) or 9-cap in PG(2,9)), using
  - Reedâ€“Solomon code RS(6,9) [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 OA(9¹³¹, 145, F₉, 90) (dual of [145, 14, 91]-code)	[i]		Strength Reduction
2	Linear OA(9¹³¹, 145, F₉, 89) (dual of [145, 14, 90]-code)	[i]		Strength Reduction
3	Linear OA(9¹³⁰, 144, F₉, 90) (dual of [144, 14, 91]-code)	[i]		Truncation
4	Linear OA(9¹²⁹, 143, F₉, 89) (dual of [143, 14, 90]-code)	[i]
5	Linear OA(9¹²⁸, 142, F₉, 88) (dual of [142, 14, 89]-code)	[i]
6	Linear OA(9¹²⁷, 141, F₉, 87) (dual of [141, 14, 88]-code)	[i]
7	Linear OA(9¹²⁵, 139, F₉, 85) (dual of [139, 14, 86]-code)	[i]
8	Linear OA(9¹²⁴, 138, F₉, 84) (dual of [138, 14, 85]-code)	[i]
9	Linear OA(9¹²³, 137, F₉, 83) (dual of [137, 14, 84]-code)	[i]
10	Linear OOA(9¹³¹, 72, F₉, 2, 91) (dual of [(72, 2), 13, 92]-NRT-code)	[i]		OOA Folding
11	Linear OOA(9¹³¹, 48, F₉, 3, 91) (dual of [(48, 3), 13, 92]-NRT-code)	[i]		OOA Folding