Information on Result #3277584
(51, 73, 5958)-net in base 32, using t-expansion based on (50, 73, 5958)-net in base 32, using
- net defined by OOA [i] based on OOA(3273, 5958, S32, 23, 23), using
- OOA 11-folding and stacking with additional row [i] based on OA(3273, 65539, S32, 23), using
- 1 times code embedding in larger space [i] based on OA(3272, 65538, S32, 23), using
- discarding parts of the base [i] based on linear OA(25645, 65538, F256, 23) (dual of [65538, 65493, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- discarding parts of the base [i] based on linear OA(25645, 65538, F256, 23) (dual of [65538, 65493, 24]-code), using
- 1 times code embedding in larger space [i] based on OA(3272, 65538, S32, 23), using
- OOA 11-folding and stacking with additional row [i] based on OA(3273, 65539, S32, 23), 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, 74, 5958)-net in base 32 | [i] | Net Duplication | |
| 2 | (53, 75, 5958)-net in base 32 | [i] | ||