Information on Result #1321396
Linear OA(434, 99, F4, 13) (dual of [99, 65, 14]-code), using construction X with Varšamov bound based on
- linear OA(432, 95, F4, 13) (dual of [95, 63, 14]-code), using
- a “GraXX†code from Grassl’s database [i]
- linear OA(432, 97, F4, 12) (dual of [97, 65, 13]-code), using Gilbert–Varšamov bound and bm = 432 > Vbs−1(k−1) = 16 314816 024161 099533 [i]
- linear OA(40, 2, F4, 0) (dual of [2, 2, 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(434, 98, F4, 2, 13) (dual of [(98, 2), 162, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(434, 98, F4, 3, 13) (dual of [(98, 3), 260, 14]-NRT-code) | [i] | ||
3 | Digital (21, 34, 98)-net over F4 | [i] |