Information on Result #633805
Linear OA(439, 51, F4, 23) (dual of [51, 12, 24]-code), using concatenation of two codes based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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(439, 25, F4, 2, 23) (dual of [(25, 2), 11, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(439, 17, F4, 3, 23) (dual of [(17, 3), 12, 24]-NRT-code) | [i] | ||