Information on Result #1197928
Digital (49, 65, 66433)-net over F27, using net defined by OOA based on linear OOA(2765, 66433, F27, 16, 16) (dual of [(66433, 16), 1062863, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(2765, 531464, F27, 16) (dual of [531464, 531399, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2765, 531465, F27, 16) (dual of [531465, 531400, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [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(2741, 531441, F27, 11) (dual of [531441, 531400, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(2765, 531465, F27, 16) (dual of [531465, 531400, 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 (50, 66, 66433)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (51, 67, 66433)-net over F27 | [i] | ||