Information on Result #696342
Linear OA(2786, 188, F27, 50) (dual of [188, 102, 51]-code), using construction X applied to Ce(49) ⊂ Ce(46) based on
- linear OA(2784, 183, F27, 50) (dual of [183, 99, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(2781, 183, F27, 47) (dual of [183, 102, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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(2786, 94, F27, 2, 50) (dual of [(94, 2), 102, 51]-NRT-code) | [i] | OOA Folding | |