Information on Result #1316047
Linear OA(8132, 364, F81, 18) (dual of [364, 332, 19]-code), using 33 step Varšamov–Edel lengthening with (ri) = (1, 32 times 0) based on linear OA(8131, 330, F81, 18) (dual of [330, 299, 19]-code), using
- construction X applied to C([32,49]) ⊂ C([33,49]) [i] based on
- linear OA(8131, 328, F81, 18) (dual of [328, 297, 19]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {32,33,…,49}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8129, 328, F81, 17) (dual of [328, 299, 18]-code), using the BCH-code C(I) with length 328 | 812−1, defining interval I = {33,34,…,49}, and designed minimum distance d ≥ |I|+1 = 18 [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(8132, 364, F81, 2, 18) (dual of [(364, 2), 696, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8132, 364, F81, 3, 18) (dual of [(364, 3), 1060, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(8132, 364, F81, 4, 18) (dual of [(364, 4), 1424, 19]-NRT-code) | [i] | ||
| 4 | Digital (14, 32, 364)-net over F81 | [i] | ||