Information on Result #696256
Linear OA(27107, 372, F27, 59) (dual of [372, 265, 60]-code), using construction X applied to Ce(58) ⊂ Ce(55) based on
- linear OA(27105, 365, F27, 59) (dual of [365, 260, 60]-code), using an extension Ce(58) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(27100, 365, F27, 56) (dual of [365, 265, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(272, 7, F27, 2) (dual of [7, 5, 3]-code or 7-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 OA(27108, 373, F27, 59) (dual of [373, 265, 60]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(27107, 186, F27, 2, 59) (dual of [(186, 2), 265, 60]-NRT-code) | [i] | OOA Folding | |