Information on Result #1525198
Linear OOA(3164, 3358, F3, 3, 30) (dual of [(3358, 3), 9910, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3164, 3358, F3, 30) (dual of [3358, 3194, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3164, 6575, F3, 30) (dual of [6575, 6411, 31]-code), using
- construction X applied to C([0,15]) ⊂ C([0,13]) [i] based on
- linear OA(3161, 6562, F3, 31) (dual of [6562, 6401, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3145, 6562, F3, 27) (dual of [6562, 6417, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to C([0,15]) ⊂ C([0,13]) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3164, 1679, F3, 5, 30) (dual of [(1679, 5), 8231, 31]-NRT-code) | [i] | OOA Folding | |