Information on Result #1310997
Linear OA(5147, 3580, F5, 35) (dual of [3580, 3433, 36]-code), using 449 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 17 times 0, 1, 49 times 0, 1, 92 times 0, 1, 129 times 0, 1, 153 times 0) based on linear OA(5140, 3124, F5, 35) (dual of [3124, 2984, 36]-code), using
- 1 times truncation [i] based on linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using
- an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(5147, 3580, F5, 2, 35) (dual of [(3580, 2), 7013, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5147, 3580, F5, 3, 35) (dual of [(3580, 3), 10593, 36]-NRT-code) | [i] | ||
| 3 | Digital (112, 147, 3580)-net over F5 | [i] | ||
| 4 | Linear OOA(5147, 1790, F5, 2, 35) (dual of [(1790, 2), 3433, 36]-NRT-code) | [i] | OOA Folding | |