Information on Result #894317
Linear OOA(2201, 4194323, F2, 2, 16) (dual of [(4194323, 2), 8388445, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(217, 22, F2, 2, 8) (dual of [(22, 2), 27, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 17, 22)-net over F2, using
- linear OOA(2184, 4194301, F2, 2, 16) (dual of [(4194301, 2), 8388418, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2184, 8388602, F2, 16) (dual of [8388602, 8388418, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- OOA 2-folding [i] based on linear OA(2184, 8388602, F2, 16) (dual of [8388602, 8388418, 17]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2201, 2097161, F2, 4, 16) (dual of [(2097161, 4), 8388443, 17]-NRT-code) | [i] | OOA Folding | |