Information on Result #1840501
(80, 103, 23832)-net in base 16, using net defined by OOA based on OOA(16103, 23832, S16, 23, 23), using
- OOA 11-folding and stacking with additional row [i] based on OA(16103, 262153, S16, 23), using
- 1 times code embedding in larger space [i] based on OA(16102, 262152, S16, 23), using
- discarding parts of the base [i] based on linear OA(6468, 262152, F64, 23) (dual of [262152, 262084, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- 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(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(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([0,11]) ⊂ C([0,10]) [i] based on
- discarding parts of the base [i] based on linear OA(6468, 262152, F64, 23) (dual of [262152, 262084, 24]-code), using
- 1 times code embedding in larger space [i] based on OA(16102, 262152, S16, 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 | (81, 104, 23832)-net in base 16 | [i] | Net Duplication | |