Information on Result #1840959
(51, 67, 262145)-net in base 32, using net defined by OOA based on OOA(3267, 262145, S32, 16, 16), using
- OA 8-folding and stacking [i] based on OA(3267, 2097160, S32, 16), using
- 1 times code embedding in larger space [i] based on OA(3266, 2097159, S32, 16), using
- discarding parts of the base [i] based on linear OA(12847, 2097159, F128, 16) (dual of [2097159, 2097112, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12840, 2097152, F128, 14) (dual of [2097152, 2097112, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1281, 7, F128, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 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 parts of the base [i] based on linear OA(12847, 2097159, F128, 16) (dual of [2097159, 2097112, 17]-code), using
- 1 times code embedding in larger space [i] based on OA(3266, 2097159, S32, 16), 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 | (52, 68, 262145)-net in base 32 | [i] | Net Duplication | |
| 2 | (53, 69, 262145)-net in base 32 | [i] | ||