Information on Result #1840355
(42, 52, 419432)-net in base 16, using net defined by OOA based on OOA(1652, 419432, S16, 10, 10), using
- OA 5-folding and stacking [i] based on OA(1652, 2097160, S16, 10), using
- 1 times code embedding in larger space [i] based on OA(1651, 2097159, S16, 10), using
- discarding parts of the base [i] based on linear OA(12829, 2097159, F128, 10) (dual of [2097159, 2097130, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(12828, 2097152, F128, 10) (dual of [2097152, 2097124, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(12822, 2097152, F128, 8) (dual of [2097152, 2097130, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(9) ⊂ Ce(7) [i] based on
- discarding parts of the base [i] based on linear OA(12829, 2097159, F128, 10) (dual of [2097159, 2097130, 11]-code), using
- 1 times code embedding in larger space [i] based on OA(1651, 2097159, S16, 10), 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 | (43, 53, 419432)-net in base 16 | [i] | Net Duplication | |