Information on Result #1317658
Linear OA(334, 115, F3, 11) (dual of [115, 81, 12]-code), using construction X with Varšamov bound based on
- linear OA(333, 113, F3, 11) (dual of [113, 80, 12]-code), using
- a “BZ†code from Brouwer’s database [i]
- linear OA(333, 114, F3, 10) (dual of [114, 81, 11]-code), using Gilbert–Varšamov bound and bm = 333 > Vbs−1(k−1) = 3192 777628 940355 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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(334, 110, F3, 2, 11) (dual of [(110, 2), 186, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(334, 110, F3, 3, 11) (dual of [(110, 3), 296, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(334, 110, F3, 4, 11) (dual of [(110, 4), 406, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(334, 110, F3, 5, 11) (dual of [(110, 5), 516, 12]-NRT-code) | [i] | ||
| 5 | Digital (23, 34, 110)-net over F3 | [i] | ||