Information on Result #1321392
Linear OA(431, 96, F4, 12) (dual of [96, 65, 13]-code), using construction X with Varšamov bound based on
- linear OA(430, 94, F4, 12) (dual of [94, 64, 13]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(430, 95, F4, 11) (dual of [95, 65, 12]-code), using Gilbert–Varšamov bound and bm = 430 > Vbs−1(k−1) = 555566 866200 965722 [i]
- linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(431, 91, F4, 2, 12) (dual of [(91, 2), 151, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(431, 91, F4, 3, 12) (dual of [(91, 3), 242, 13]-NRT-code) | [i] | ||
| 3 | Digital (19, 31, 91)-net over F4 | [i] | ||