Information on Result #1202580
Digital (53, 69, 1048615)-net over F81, using net defined by OOA based on linear OOA(8169, 1048615, F81, 20, 16) (dual of [(1048615, 20), 20972231, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8169, 2097231, F81, 4, 16) (dual of [(2097231, 4), 8388855, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8169, 2097232, F81, 4, 16) (dual of [(2097232, 4), 8388859, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(818, 82, F81, 4, 8) (dual of [(82, 4), 320, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;320,81) [i]
- linear OOA(8161, 2097150, F81, 4, 16) (dual of [(2097150, 4), 8388539, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(8161, large, F81, 16) (dual of [large, large−61, 17]-code), using
- OOA 4-folding [i] based on linear OA(8161, 8388600, F81, 16) (dual of [8388600, 8388539, 17]-code), using
- linear OOA(818, 82, F81, 4, 8) (dual of [(82, 4), 320, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8169, 2097232, F81, 4, 16) (dual of [(2097232, 4), 8388859, 17]-NRT-code), using
Mode: Constructive and linear.
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 | Digital (122, 138, 2097230)-net over F9 | [i] | Trace Code for Nets | |