Information on Result #962643
Linear OOA(4241, 2796201, F4, 3, 27) (dual of [(2796201, 3), 8388362, 28]-NRT-code), using OOA 3-folding 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]
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(4244, 2796202, F4, 3, 27) (dual of [(2796202, 3), 8388362, 28]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4247, 2796203, F4, 3, 27) (dual of [(2796203, 3), 8388362, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(4250, 2796204, F4, 3, 27) (dual of [(2796204, 3), 8388362, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(4253, 2796205, F4, 3, 27) (dual of [(2796205, 3), 8388362, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(4242, 2796201, F4, 3, 27) (dual of [(2796201, 3), 8388361, 28]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(4243, 2796201, F4, 3, 27) (dual of [(2796201, 3), 8388360, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(4254, 2796206, F4, 3, 27) (dual of [(2796206, 3), 8388364, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4255, 2796210, F4, 3, 27) (dual of [(2796210, 3), 8388375, 28]-NRT-code) | [i] | ||
| 9 | Linear OOA(4256, 2796211, F4, 3, 27) (dual of [(2796211, 3), 8388377, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(4257, 2796215, F4, 3, 27) (dual of [(2796215, 3), 8388388, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(4258, 2796216, F4, 3, 27) (dual of [(2796216, 3), 8388390, 28]-NRT-code) | [i] | ||
| 12 | Linear OOA(4259, 2796218, F4, 3, 27) (dual of [(2796218, 3), 8388395, 28]-NRT-code) | [i] | ||