Information on Result #894329
Linear OOA(2216, 4194429, F2, 2, 16) (dual of [(4194429, 2), 8388642, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(232, 128, F2, 2, 8) (dual of [(128, 2), 224, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(232, 256, F2, 8) (dual of [256, 224, 9]-code), using
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(233, 257, F2, 9) (dual of [257, 224, 10]-code), using
- OOA 2-folding [i] based on linear OA(232, 256, F2, 8) (dual of [256, 224, 9]-code), 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(2216, 2097214, F2, 4, 16) (dual of [(2097214, 4), 8388640, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2216, 1398143, F2, 6, 16) (dual of [(1398143, 6), 8388642, 17]-NRT-code) | [i] | ||