Information on Result #637233
Linear OA(493, 108, F4, 55) (dual of [108, 15, 56]-code), using concatenation of two codes based on
- linear OA(6413, 18, F64, 13) (dual of [18, 5, 14]-code or 18-arc in PG(12,64)), using
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- Reed–Solomon code RS(51,64) [i]
- discarding factors / shortening the dual code based on linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), 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 OA(492, 107, F4, 54) (dual of [107, 15, 55]-code) | [i] | Truncation | |
| 2 | Linear OA(491, 106, F4, 53) (dual of [106, 15, 54]-code) | [i] | ||
| 3 | Linear OA(490, 105, F4, 52) (dual of [105, 15, 53]-code) | [i] | ||
| 4 | Linear OOA(493, 54, F4, 2, 55) (dual of [(54, 2), 15, 56]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(493, 36, F4, 3, 55) (dual of [(36, 3), 15, 56]-NRT-code) | [i] | ||