Information on Result #694831
Linear OA(2762, 531450, F27, 16) (dual of [531450, 531388, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- linear OA(2761, 531441, F27, 16) (dual of [531441, 531380, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2772, 531498, F27, 16) (dual of [531498, 531426, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2774, 531514, F27, 16) (dual of [531514, 531440, 17]-code) | [i] | ||
| 3 | OA(2774, 531550, S27, 16) | [i] | ||
| 4 | Linear OOA(2762, 400990, F27, 2, 16) (dual of [(400990, 2), 801918, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (46, 62, 400990)-net over F27 | [i] | ||
| 6 | Linear OOA(2762, 265725, F27, 2, 16) (dual of [(265725, 2), 531388, 17]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2762, 66431, F27, 16, 16) (dual of [(66431, 16), 1062834, 17]-NRT-code) | [i] | OA Folding and Stacking | |