Information on Result #1316035
Linear OA(8122, 436, F81, 12) (dual of [436, 414, 13]-code), using 23 step Varšamov–Edel lengthening with (ri) = (1, 22 times 0) based on linear OA(8121, 412, F81, 12) (dual of [412, 391, 13]-code), using
- construction X applied to C([35,46]) ⊂ C([36,46]) [i] based on
- linear OA(8121, 410, F81, 12) (dual of [410, 389, 13]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {35,36,…,46}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(8119, 410, F81, 11) (dual of [410, 391, 12]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {36,37,…,46}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(8122, 436, F81, 2, 12) (dual of [(436, 2), 850, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8122, 436, F81, 3, 12) (dual of [(436, 3), 1286, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(8122, 436, F81, 4, 12) (dual of [(436, 4), 1722, 13]-NRT-code) | [i] | ||
| 4 | Digital (10, 22, 436)-net over F81 | [i] | ||