Information on Result #1310878
Linear OA(5129, 3770, F5, 30) (dual of [3770, 3641, 31]-code), using 636 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 8 times 0, 1, 19 times 0, 1, 42 times 0, 1, 78 times 0, 1, 124 times 0, 1, 164 times 0, 1, 191 times 0) based on linear OA(5120, 3125, F5, 30) (dual of [3125, 3005, 31]-code), using
- 1 times truncation [i] 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: 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(5129, 3770, F5, 2, 30) (dual of [(3770, 2), 7411, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5129, 3770, F5, 3, 30) (dual of [(3770, 3), 11181, 31]-NRT-code) | [i] | ||
| 3 | Digital (99, 129, 3770)-net over F5 | [i] | ||
| 4 | Linear OOA(5129, 1885, F5, 2, 30) (dual of [(1885, 2), 3641, 31]-NRT-code) | [i] | OOA Folding | |