Information on Result #1198110
Digital (52, 70, 59050)-net over F27, using net defined by OOA based on linear OOA(2770, 59050, F27, 18, 18) (dual of [(59050, 18), 1062830, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(2770, 531450, F27, 18) (dual of [531450, 531380, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(15) [i] based on
- linear OA(2769, 531441, F27, 18) (dual of [531441, 531372, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 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(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(17) ⊂ Ce(15) [i] based on
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 (53, 71, 59050)-net over F27 | [i] | Net Duplication | |
| 2 | (64, 82, 59132)-net in base 27 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (67, 85, 59166)-net in base 27 | [i] | ||