Information on Result #694888
Linear OA(2761, 531465, F27, 15) (dual of [531465, 531404, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2737, 531441, F27, 10) (dual of [531441, 531404, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(274, 24, F27, 4) (dual of [24, 20, 5]-code or 24-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), 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(2761, 531465, F27, 2, 15) (dual of [(531465, 2), 1062869, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (46, 61, 531465)-net over F27 | [i] | ||
| 3 | Linear OOA(2761, 265732, F27, 2, 15) (dual of [(265732, 2), 531403, 16]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2761, 75923, F27, 15, 15) (dual of [(75923, 15), 1138784, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |