Information on Result #1314746
Linear OA(2723, 121, F27, 13) (dual of [121, 98, 14]-code), using 14 step Varšamov–Edel lengthening with (ri) = (1, 13 times 0) based on linear OA(2722, 106, F27, 13) (dual of [106, 84, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2722, 105, F27, 13) (dual of [105, 83, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2721, 105, F27, 12) (dual of [105, 84, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 104 | 272−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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: 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(2723, 121, F27, 2, 13) (dual of [(121, 2), 219, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (10, 23, 121)-net over F27 | [i] | ||