Information on Result #2247246
Linear OA(5120, 3125, F5, 30) (dual of [3125, 3005, 31]-code), using 1 times truncation based on linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
Mode: Constructive and 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(5120, 2620, F5, 2, 30) (dual of [(2620, 2), 5120, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5120, 2620, F5, 3, 30) (dual of [(2620, 3), 7740, 31]-NRT-code) | [i] | ||
| 3 | Digital (90, 120, 2620)-net over F5 | [i] | ||
| 4 | Linear OA(5123, 3140, F5, 30) (dual of [3140, 3017, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(5124, 3161, F5, 30) (dual of [3161, 3037, 31]-code) | [i] | ||
| 6 | Linear OA(5125, 3205, F5, 30) (dual of [3205, 3080, 31]-code) | [i] | ||
| 7 | Linear OA(5126, 3285, F5, 30) (dual of [3285, 3159, 31]-code) | [i] | ||
| 8 | Linear OA(5127, 3411, F5, 30) (dual of [3411, 3284, 31]-code) | [i] | ||
| 9 | Linear OA(5128, 3577, F5, 30) (dual of [3577, 3449, 31]-code) | [i] | ||
| 10 | Linear OA(5129, 3770, F5, 30) (dual of [3770, 3641, 31]-code) | [i] | ||
| 11 | Linear OA(5130, 3982, F5, 30) (dual of [3982, 3852, 31]-code) | [i] | ||
| 12 | Linear OOA(5120, 1562, F5, 2, 30) (dual of [(1562, 2), 3004, 31]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(5120, 1041, F5, 3, 30) (dual of [(1041, 3), 3003, 31]-NRT-code) | [i] | ||