Information on Result #695697
Linear OA(27101, 740, F27, 51) (dual of [740, 639, 52]-code), using construction X applied to Ce(50) ⊂ Ce(46) based on
- linear OA(2798, 729, F27, 51) (dual of [729, 631, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2790, 729, F27, 47) (dual of [729, 639, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(273, 11, F27, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,27) or 11-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), 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(27101, 370, F27, 2, 51) (dual of [(370, 2), 639, 52]-NRT-code) | [i] | OOA Folding | |