Information on Result #1824090
(87, 120, 2048)-net in base 16, using base change based on digital (63, 96, 2048)-net over F32, using
- 321 times duplication [i] based on digital (62, 95, 2048)-net over F32, using
- net defined by OOA [i] based on linear OOA(3295, 2048, F32, 33, 33) (dual of [(2048, 33), 67489, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(3295, 32769, F32, 33) (dual of [32769, 32674, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3295, 32772, F32, 33) (dual of [32772, 32677, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3291, 32768, F32, 31) (dual of [32768, 32677, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(321, 4, F32, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(32) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3295, 32772, F32, 33) (dual of [32772, 32677, 34]-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(3295, 32769, F32, 33) (dual of [32769, 32674, 34]-code), using
- net defined by OOA [i] based on linear OOA(3295, 2048, F32, 33, 33) (dual of [(2048, 33), 67489, 34]-NRT-code), using
Mode: Constructive.
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 | (87, 119, 2048)-net in base 16 | [i] | m-Reduction | |