Information on Result #696460
Linear OA(2731, 107, F27, 18) (dual of [107, 76, 19]-code), using construction X applied to Ce(17) ⊂ Ce(16) based on
- linear OA(2731, 105, F27, 18) (dual of [105, 74, 19]-code), using an extension Ce(17) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(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(27101, 839, F27, 37) (dual of [839, 738, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2799, 839, F27, 36) (dual of [839, 740, 37]-code) | [i] | ||
| 3 | Linear OOA(2731, 53, F27, 2, 18) (dual of [(53, 2), 75, 19]-NRT-code) | [i] | OOA Folding | |