Information on Result #1197924
Digital (46, 62, 66431)-net over F27, using net defined by OOA based on linear OOA(2762, 66431, F27, 16, 16) (dual of [(66431, 16), 1062834, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(2762, 531448, F27, 16) (dual of [531448, 531386, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2762, 531450, F27, 16) (dual of [531450, 531388, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] 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
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(2762, 531450, F27, 16) (dual of [531450, 531388, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (47, 63, 66431)-net over F27 | [i] | Net Duplication | |
| 2 | (58, 74, 66531)-net in base 27 | [i] | (u, u+v)-Construction for Nets | |