Information on Result #2255676
Linear OA(2751, 364, F27, 27) (dual of [364, 313, 28]-code), using 2 times truncation based on linear OA(2753, 366, F27, 29) (dual of [366, 313, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2753, 365, F27, 29) (dual of [365, 312, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2752, 365, F27, 28) (dual of [365, 313, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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 OOA(2751, 275, F27, 2, 27) (dual of [(275, 2), 499, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (24, 51, 275)-net over F27 | [i] | ||
| 3 | Linear OOA(2751, 182, F27, 2, 27) (dual of [(182, 2), 313, 28]-NRT-code) | [i] | OOA Folding | |