Information on Result #696332
Linear OA(27105, 189, F27, 64) (dual of [189, 84, 65]-code), using construction X applied to Ce(63) ⊂ Ce(59) based on
- linear OA(27102, 183, F27, 64) (dual of [183, 81, 65]-code), using an extension Ce(63) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(2799, 183, F27, 60) (dual of [183, 84, 61]-code), using an extension Ce(59) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(273, 6, F27, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,27) or 6-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(27105, 94, F27, 2, 64) (dual of [(94, 2), 83, 65]-NRT-code) | [i] | OOA Folding | |