Information on Result #694804
Linear OA(2761, 531445, F27, 16) (dual of [531445, 531384, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- 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(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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
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(2770, 531483, F27, 16) (dual of [531483, 531413, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2771, 531493, F27, 16) (dual of [531493, 531422, 17]-code) | [i] | ||
| 3 | Linear OA(2772, 531497, F27, 16) (dual of [531497, 531425, 17]-code) | [i] | ||
| 4 | Linear OA(2773, 531509, F27, 16) (dual of [531509, 531436, 17]-code) | [i] | ||
| 5 | Linear OA(2774, 531513, F27, 16) (dual of [531513, 531439, 17]-code) | [i] | ||
| 6 | Linear OA(2775, 531629, F27, 16) (dual of [531629, 531554, 17]-code) | [i] | ||
| 7 | OA(2772, 531527, S27, 16) | [i] | ||
| 8 | OA(2773, 531545, S27, 16) | [i] | ||
| 9 | Linear OOA(2761, 265722, F27, 2, 16) (dual of [(265722, 2), 531383, 17]-NRT-code) | [i] | OOA Folding | |