Information on Result #694886
Linear OA(2769, 531465, F27, 17) (dual of [531465, 531396, 18]-code), using construction X applied to Ce(16) ⊂ Ce(11) based on
- linear OA(2765, 531441, F27, 17) (dual of [531441, 531376, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2745, 531441, F27, 12) (dual of [531441, 531396, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(2769, 531465, F27, 2, 17) (dual of [(531465, 2), 1062861, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (52, 69, 531465)-net over F27 | [i] | ||
| 3 | Linear OOA(2769, 265732, F27, 2, 17) (dual of [(265732, 2), 531395, 18]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2769, 66433, F27, 17, 17) (dual of [(66433, 17), 1129292, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |