Information on Result #1313622
Linear OA(1622, 94, F16, 12) (dual of [94, 72, 13]-code), using 6 step Varšamov–Edel lengthening with (ri) = (1, 5 times 0) based on linear OA(1621, 87, F16, 12) (dual of [87, 66, 13]-code), using
- construction X applied to C([11,22]) ⊂ C([12,22]) [i] based on
- linear OA(1621, 85, F16, 12) (dual of [85, 64, 13]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {11,12,…,22}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(1619, 85, F16, 11) (dual of [85, 66, 12]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,22}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 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(1622, 94, F16, 2, 12) (dual of [(94, 2), 166, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (10, 22, 94)-net over F16 | [i] | ||