Information on Result #1310901
Linear OA(5129, 3254, F5, 31) (dual of [3254, 3125, 32]-code), using 120 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 17 times 0, 1, 32 times 0, 1, 54 times 0) 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, 3254, F5, 2, 31) (dual of [(3254, 2), 6379, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5129, 3254, F5, 3, 31) (dual of [(3254, 3), 9633, 32]-NRT-code) | [i] | ||
| 3 | Digital (98, 129, 3254)-net over F5 | [i] | ||
| 4 | Linear OOA(5129, 1627, F5, 2, 31) (dual of [(1627, 2), 3125, 32]-NRT-code) | [i] | OOA Folding | |