Information on Result #1823979
(135, 168, 4097)-net in base 8, using base change based on digital (93, 126, 4097)-net over F16, using
- 161 times duplication [i] based on digital (92, 125, 4097)-net over F16, using
- net defined by OOA [i] based on linear OOA(16125, 4097, F16, 33, 33) (dual of [(4097, 33), 135076, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(16125, 65553, F16, 33) (dual of [65553, 65428, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(27) [i] based on
- linear OA(16121, 65536, F16, 33) (dual of [65536, 65415, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(16105, 65536, F16, 28) (dual of [65536, 65431, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
- construction X applied to Ce(32) ⊂ Ce(27) [i] based on
- OOA 16-folding and stacking with additional row [i] based on linear OA(16125, 65553, F16, 33) (dual of [65553, 65428, 34]-code), using
- net defined by OOA [i] based on linear OOA(16125, 4097, F16, 33, 33) (dual of [(4097, 33), 135076, 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 | (135, 167, 4097)-net in base 8 | [i] | m-Reduction | |