Information on Result #695231
Linear OA(27109, 19710, F27, 36) (dual of [19710, 19601, 37]-code), using construction X applied to Ce(35) ⊂ Ce(28) based on
- linear OA(27103, 19683, F27, 36) (dual of [19683, 19580, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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]
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(27109, 18314, F27, 2, 36) (dual of [(18314, 2), 36519, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (73, 109, 18314)-net over F27 | [i] | ||
| 3 | Linear OOA(27109, 9855, F27, 2, 36) (dual of [(9855, 2), 19601, 37]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(27109, 1095, F27, 36, 36) (dual of [(1095, 36), 39311, 37]-NRT-code) | [i] | OA Folding and Stacking | |