Information on Result #696308
Linear OA(2751, 186, F27, 28) (dual of [186, 135, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(2750, 183, F27, 28) (dual of [183, 133, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2748, 183, F27, 26) (dual of [183, 135, 27]-code), using an extension Ce(25) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 3, F27, 1) (dual of [3, 2, 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 OOA(2751, 93, F27, 2, 28) (dual of [(93, 2), 135, 29]-NRT-code) | [i] | OOA Folding | |