Information on Result #865409
Linear OOA(2765, 265722, F27, 2, 17) (dual of [(265722, 2), 531379, 18]-NRT-code), using OOA 2-folding based on linear OA(2765, 531444, F27, 17) (dual of [531444, 531379, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2765, 531445, F27, 17) (dual of [531445, 531380, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(270, 4, F27, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
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(2773, 265750, F27, 2, 17) (dual of [(265750, 2), 531427, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2774, 265760, F27, 2, 17) (dual of [(265760, 2), 531446, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2775, 265770, F27, 2, 17) (dual of [(265770, 2), 531465, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(2776, 265774, F27, 2, 17) (dual of [(265774, 2), 531472, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(2777, 265786, F27, 2, 17) (dual of [(265786, 2), 531495, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(2778, 265790, F27, 2, 17) (dual of [(265790, 2), 531502, 18]-NRT-code) | [i] | ||
| 7 | OOA(2776, 265804, S27, 2, 17) | [i] | ||
| 8 | OOA(2777, 265822, S27, 2, 17) | [i] | ||
| 9 | OOA(2779, 265838, S27, 2, 17) | [i] | ||