Information on Result #2200683
Linear OA(487, 102, F4, 50) (dual of [102, 15, 51]-code), using strength reduction based on linear OA(487, 102, F4, 51) (dual of [102, 15, 52]-code), using
- concatenation of two codes [i] based on
- linear OA(6412, 17, F64, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
- Reed–Solomon code RS(52,64) [i]
- discarding factors / shortening the dual code based on linear OA(6412, 64, F64, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), 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
- linear OA(6412, 17, F64, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,64)), 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(486, 101, F4, 49) (dual of [101, 15, 50]-code) | [i] | Truncation | |
| 2 | Linear OA(485, 100, F4, 48) (dual of [100, 15, 49]-code) | [i] | ||
| 3 | Linear OOA(487, 51, F4, 2, 50) (dual of [(51, 2), 15, 51]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(487, 34, F4, 3, 50) (dual of [(34, 3), 15, 51]-NRT-code) | [i] | ||