Information on Result #696327
Linear OA(2714, 184, F27, 8) (dual of [184, 170, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(2714, 183, F27, 8) (dual of [183, 169, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2713, 183, F27, 7) (dual of [183, 170, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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(2747, 916, F27, 17) (dual of [916, 869, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2763, 19870, F27, 17) (dual of [19870, 19807, 18]-code) | [i] | ||
| 3 | Linear OA(2779, 531629, F27, 17) (dual of [531629, 531550, 18]-code) | [i] | ||
| 4 | Linear OA(2760, 19870, F27, 16) (dual of [19870, 19810, 17]-code) | [i] | ||
| 5 | Linear OA(2775, 531629, F27, 16) (dual of [531629, 531554, 17]-code) | [i] | ||
| 6 | Linear OOA(2714, 92, F27, 2, 8) (dual of [(92, 2), 170, 9]-NRT-code) | [i] | OOA Folding | |