Information on Result #694894
Linear OA(27106, 531469, F27, 26) (dual of [531469, 531363, 27]-code), using construction X applied to Ce(25) ⊂ Ce(19) based on
- linear OA(27101, 531441, F27, 26) (dual of [531441, 531340, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2777, 531441, F27, 20) (dual of [531441, 531364, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(275, 28, F27, 5) (dual of [28, 23, 6]-code or 28-arc in PG(4,27)), using
- extended Reed–Solomon code RSe(23,27) [i]
- the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [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(27106, 531469, F27, 2, 26) (dual of [(531469, 2), 1062832, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (80, 106, 531469)-net over F27 | [i] | ||
| 3 | Linear OOA(27106, 265734, F27, 2, 26) (dual of [(265734, 2), 531362, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(27106, 40882, F27, 26, 26) (dual of [(40882, 26), 1062826, 27]-NRT-code) | [i] | OA Folding and Stacking | |