MinT - Information on Result #639916

Information on Result #639916

Linear OA(8¹⁵⁰, 162, F₈, 109) (dual of [162, 12, 110]-code), using concatenation of two codes based on

linear OA(64²¹, 27, F₆₄, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(64²¹, 64, F₆₄, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
  - Reedâ€“Solomon code RS(43,64) [i]
linear OA(8⁴, 6, F₈, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(8⁴, 8, F₈, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
  - Reedâ€“Solomon code RS(4,8) [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(8¹⁵⁰, 162, F₈, 108) (dual of [162, 12, 109]-code)	[i]		Strength Reduction
2	Linear OA(8¹⁵⁰, 162, F₈, 107) (dual of [162, 12, 108]-code)	[i]		Strength Reduction
3	Linear OA(8¹⁴⁹, 161, F₈, 108) (dual of [161, 12, 109]-code)	[i]		Truncation
4	Linear OA(8¹⁴⁷, 159, F₈, 106) (dual of [159, 12, 107]-code)	[i]
5	Linear OA(8¹⁴⁶, 158, F₈, 105) (dual of [158, 12, 106]-code)	[i]
6	Linear OA(8¹⁴⁵, 157, F₈, 104) (dual of [157, 12, 105]-code)	[i]
7	Linear OA(8¹⁴², 154, F₈, 101) (dual of [154, 12, 102]-code)	[i]
8	Linear OA(8¹⁴¹, 153, F₈, 100) (dual of [153, 12, 101]-code)	[i]
9	Linear OA(8¹⁴⁰, 152, F₈, 99) (dual of [152, 12, 100]-code)	[i]
10	Linear OA(8¹³⁹, 151, F₈, 98) (dual of [151, 12, 99]-code)	[i]
11	Linear OA(8¹³⁷, 149, F₈, 96) (dual of [149, 12, 97]-code)	[i]
12	Linear OOA(8¹⁵⁰, 81, F₈, 2, 109) (dual of [(81, 2), 12, 110]-NRT-code)	[i]		OOA Folding
13	Linear OOA(8¹⁵⁰, 54, F₈, 3, 109) (dual of [(54, 3), 12, 110]-NRT-code)	[i]		OOA Folding