MinT - Information on Result #640754

Information on Result #640754

Linear OA(9¹⁵⁰, 162, F₉, 109) (dual of [162, 12, 110]-code), using concatenation of two codes based on

linear OA(81²¹, 27, F₈₁, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,81)), using
- discarding factors / shortening the dual code based on linear OA(81²¹, 81, F₈₁, 21) (dual of [81, 60, 22]-code or 81-arc in PG(20,81)), using
  - Reedâ€“Solomon code RS(60,81) [i]
linear OA(9⁴, 6, F₉, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(9⁴, 9, F₉, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
  - Reedâ€“Solomon code RS(5,9) [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(9¹⁵⁰, 162, F₉, 108) (dual of [162, 12, 109]-code)	[i]		Strength Reduction
2	Linear OA(9¹⁵⁰, 162, F₉, 107) (dual of [162, 12, 108]-code)	[i]
3	Linear OA(9¹⁵⁰, 162, F₉, 106) (dual of [162, 12, 107]-code)	[i]
4	Linear OA(9¹⁴⁹, 161, F₉, 108) (dual of [161, 12, 109]-code)	[i]		Truncation
5	Linear OA(9¹⁴⁷, 159, F₉, 106) (dual of [159, 12, 107]-code)	[i]
6	Linear OA(9¹⁴⁶, 158, F₉, 105) (dual of [158, 12, 106]-code)	[i]
7	Linear OA(9¹⁴⁵, 157, F₉, 104) (dual of [157, 12, 105]-code)	[i]
8	Linear OA(9¹⁴¹, 153, F₉, 100) (dual of [153, 12, 101]-code)	[i]
9	Linear OA(9¹³⁹, 151, F₉, 98) (dual of [151, 12, 99]-code)	[i]
10	Linear OA(9¹³⁷, 149, F₉, 96) (dual of [149, 12, 97]-code)	[i]
11	Linear OOA(9¹⁵⁰, 81, F₉, 2, 109) (dual of [(81, 2), 12, 110]-NRT-code)	[i]		OOA Folding
12	Linear OOA(9¹⁵⁰, 54, F₉, 3, 109) (dual of [(54, 3), 12, 110]-NRT-code)	[i]		OOA Folding