Information on Result #696319
Linear OA(2729, 185, F27, 16) (dual of [185, 156, 17]-code), using construction X applied to Ce(15) ⊂ Ce(14) based on
- linear OA(2729, 183, F27, 16) (dual of [183, 154, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2727, 183, F27, 15) (dual of [183, 156, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 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(2791, 917, F27, 33) (dual of [917, 826, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2789, 917, F27, 32) (dual of [917, 828, 33]-code) | [i] | ||
| 3 | Linear OOA(2729, 92, F27, 2, 16) (dual of [(92, 2), 155, 17]-NRT-code) | [i] | OOA Folding | |