Information on Result #696475
Linear OA(2730, 109, F27, 17) (dual of [109, 79, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
- linear OA(2729, 105, F27, 17) (dual of [105, 76, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2726, 105, F27, 15) (dual of [105, 79, 16]-code), using an extension Ce(14) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-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(2796, 841, F27, 35) (dual of [841, 745, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2794, 841, F27, 34) (dual of [841, 747, 35]-code) | [i] | ||
| 3 | Linear OOA(2730, 54, F27, 2, 17) (dual of [(54, 2), 78, 18]-NRT-code) | [i] | OOA Folding | |