MinT - Information on Result #639912

Information on Result #639912

Linear OA(8¹⁴⁴, 156, F₈, 104) (dual of [156, 12, 105]-code), using concatenation of two codes based on

linear OA(64²⁰, 26, F₆₄, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
  - Reedâ€“Solomon code RS(44,64) [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(8¹⁴⁴, 156, F₈, 103) (dual of [156, 12, 104]-code)	[i]		Strength Reduction
2	Linear OA(8¹⁴⁴, 156, F₈, 102) (dual of [156, 12, 103]-code)	[i]		Strength Reduction
3	Linear OA(8¹⁴², 154, F₈, 102) (dual of [154, 12, 103]-code)	[i]		Truncation
4	Linear OA(8¹⁴¹, 153, F₈, 101) (dual of [153, 12, 102]-code)	[i]
5	Linear OA(8¹⁴⁰, 152, F₈, 100) (dual of [152, 12, 101]-code)	[i]
6	Linear OA(8¹³⁹, 151, F₈, 99) (dual of [151, 12, 100]-code)	[i]
7	Linear OA(8¹³⁷, 149, F₈, 97) (dual of [149, 12, 98]-code)	[i]
8	Linear OA(8¹³⁶, 148, F₈, 96) (dual of [148, 12, 97]-code)	[i]
9	Linear OA(8¹³⁵, 147, F₈, 95) (dual of [147, 12, 96]-code)	[i]
10	Linear OA(8¹³⁴, 146, F₈, 94) (dual of [146, 12, 95]-code)	[i]
11	Linear OOA(8¹⁴⁴, 78, F₈, 2, 104) (dual of [(78, 2), 12, 105]-NRT-code)	[i]		OOA Folding
12	Linear OOA(8¹⁴⁴, 52, F₈, 3, 104) (dual of [(52, 3), 12, 105]-NRT-code)	[i]		OOA Folding