Information on Result #895610
Linear OOA(4181, 4196349, F4, 2, 17) (dual of [(4196349, 2), 8392517, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(436, 2048, F4, 2, 8) (dual of [(2048, 2), 4060, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(436, 4096, F4, 8) (dual of [4096, 4060, 9]-code), using
- 1 times truncation [i] based on linear OA(437, 4097, F4, 9) (dual of [4097, 4060, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, 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(437, 4097, F4, 9) (dual of [4097, 4060, 10]-code), using
- OOA 2-folding [i] based on linear OA(436, 4096, F4, 8) (dual of [4096, 4060, 9]-code), using
- linear OOA(4145, 4194301, F4, 2, 17) (dual of [(4194301, 2), 8388457, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4145, 8388602, F4, 17) (dual of [8388602, 8388457, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- OOA 2-folding [i] based on linear OA(4145, 8388602, F4, 17) (dual of [8388602, 8388457, 18]-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(4181, 1049087, F4, 18, 17) (dual of [(1049087, 18), 18883385, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |