Information on Result #1840525
(87, 112, 21846)-net in base 16, using net defined by OOA based on OOA(16112, 21846, S16, 25, 25), using
- OOA 12-folding and stacking with additional row [i] based on OA(16112, 262153, S16, 25), using
- 1 times code embedding in larger space [i] based on OA(16111, 262152, S16, 25), using
- discarding parts of the base [i] based on linear OA(6474, 262152, F64, 25) (dual of [262152, 262078, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
- linear OA(6473, 262145, F64, 25) (dual of [262145, 262072, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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([0,12]) ⊂ C([0,11]) [i] based on
- discarding parts of the base [i] based on linear OA(6474, 262152, F64, 25) (dual of [262152, 262078, 26]-code), using
- 1 times code embedding in larger space [i] based on OA(16111, 262152, S16, 25), 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 | (88, 113, 21846)-net in base 16 | [i] | Net Duplication | |