Information on Result #696416
Linear OA(27110, 198, F27, 65) (dual of [198, 88, 66]-code), using construction X applied to Ce(64) ⊂ Ce(57) based on
- linear OA(27104, 183, F27, 65) (dual of [183, 79, 66]-code), using an extension Ce(64) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,64], and designed minimum distance d ≥ |I|+1 = 65 [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(276, 15, F27, 6) (dual of [15, 9, 7]-code or 15-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), 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(27110, 99, F27, 2, 65) (dual of [(99, 2), 88, 66]-NRT-code) | [i] | OOA Folding | |