Information on Result #1841115
(54, 75, 26215)-net in base 32, using net defined by OOA based on OOA(3275, 26215, S32, 21, 21), using
- OOA 10-folding and stacking with additional row [i] based on OA(3275, 262151, S32, 21), using
- discarding factors based on OA(3275, 262152, S32, 21), using
- discarding parts of the base [i] based on linear OA(6462, 262152, F64, 21) (dual of [262152, 262090, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(6461, 262145, F64, 21) (dual of [262145, 262084, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- discarding parts of the base [i] based on linear OA(6462, 262152, F64, 21) (dual of [262152, 262090, 22]-code), using
- discarding factors based on OA(3275, 262152, S32, 21), 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 | (55, 76, 26215)-net in base 32 | [i] | Net Duplication | |
| 2 | (56, 77, 26215)-net in base 32 | [i] | ||
| 3 | (54, 74, 26215)-net in base 32 | [i] | m-Reduction | |