Information on Result #3279922
(76, 100, 174763)-net in base 32, using 321 times duplication based on (75, 99, 174763)-net in base 32, using
- net defined by OOA [i] based on OOA(3299, 174763, S32, 24, 24), using
- OA 12-folding and stacking [i] based on OA(3299, 2097156, S32, 24), using
- 1 times code embedding in larger space [i] based on OA(3298, 2097155, S32, 24), using
- discarding parts of the base [i] based on linear OA(12870, 2097155, F128, 24) (dual of [2097155, 2097085, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(12870, 2097152, F128, 24) (dual of [2097152, 2097082, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(12867, 2097152, F128, 23) (dual of [2097152, 2097085, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1280, 3, F128, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- discarding parts of the base [i] based on linear OA(12870, 2097155, F128, 24) (dual of [2097155, 2097085, 25]-code), using
- 1 times code embedding in larger space [i] based on OA(3298, 2097155, S32, 24), using
- OA 12-folding and stacking [i] based on OA(3299, 2097156, S32, 24), 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 | (101, 125, 174762)-net in base 16 | [i] | Base Change | |