Information on Result #1840223
(66, 83, 8192)-net in base 8, using net defined by OOA based on OOA(883, 8192, S8, 17, 17), using
- OOA 8-folding and stacking with additional row [i] based on OA(883, 65537, S8, 17), using
- discarding factors based on OA(883, 65541, S8, 17), using
- discarding parts of the base [i] based on linear OA(1662, 65541, F16, 17) (dual of [65541, 65479, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(1661, 65536, F16, 17) (dual of [65536, 65475, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1657, 65536, F16, 15) (dual of [65536, 65479, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 164−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- discarding parts of the base [i] based on linear OA(1662, 65541, F16, 17) (dual of [65541, 65479, 18]-code), using
- discarding factors based on OA(883, 65541, S8, 17), 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 | (66, 82, 8192)-net in base 8 | [i] | m-Reduction | |