Information on Result #1545444
Linear OOA(4246, 4194303, F4, 3, 27) (dual of [(4194303, 3), 12582663, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4246, 4194303, F4, 2, 27) (dual of [(4194303, 2), 8388360, 28]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4245, 4194303, F4, 2, 27) (dual of [(4194303, 2), 8388361, 28]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
Mode: 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(4246, 838860, F4, 33, 27) (dual of [(838860, 33), 27682134, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |