Information on Result #696393
Linear OA(27107, 195, F27, 64) (dual of [195, 88, 65]-code), using construction X applied to Ce(63) ⊂ Ce(57) 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(2795, 183, F27, 58) (dual of [183, 88, 59]-code), using an extension Ce(57) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(275, 12, F27, 5) (dual of [12, 7, 6]-code or 12-arc in PG(4,27)), using
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), using
- Reed–Solomon code RS(22,27) [i]
- discarding factors / shortening the dual code based on linear OA(275, 27, F27, 5) (dual of [27, 22, 6]-code or 27-arc in PG(4,27)), 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(27107, 97, F27, 2, 64) (dual of [(97, 2), 87, 65]-NRT-code) | [i] | OOA Folding | |