Information on Result #696331
Linear OA(27105, 187, F27, 65) (dual of [187, 82, 66]-code), using construction X applied to Ce(64) ⊂ Ce(62) based on
- linear OA(27104, 183, F27, 65) (dual of [183, 79, 66]-code), using an extension Ce(64) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,64], and designed minimum distance d ≥ |I|+1 = 65 [i]
- linear OA(27101, 183, F27, 63) (dual of [183, 82, 64]-code), using an extension Ce(62) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [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(27106, 188, F27, 65) (dual of [188, 82, 66]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(27104, 186, F27, 64) (dual of [186, 82, 65]-code) | [i] | Truncation | |
| 3 | Linear OOA(27105, 93, F27, 2, 65) (dual of [(93, 2), 81, 66]-NRT-code) | [i] | OOA Folding | |