Information on Result #634946
Linear OA(469, 75, F4, 51) (dual of [75, 6, 52]-code), using concatenation of two codes based on
- linear OA(1612, 15, F16, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
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 OA(4143, 148, F4, 103) (dual of [148, 5, 104]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(4132, 138, F4, 95) (dual of [138, 6, 96]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(4158, 163, F4, 115) (dual of [163, 5, 116]-code) | [i] | ||
| 4 | Linear OA(2212, 222, F2, 103) (dual of [222, 10, 104]-code) | [i] | Concatenation of Two Codes | |
| 5 | Linear OOA(469, 37, F4, 2, 51) (dual of [(37, 2), 5, 52]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(469, 25, F4, 3, 51) (dual of [(25, 3), 6, 52]-NRT-code) | [i] | ||