Information on Result #2240001
Linear OA(4152, 185, F4, 82) (dual of [185, 33, 83]-code), using 1 times truncation based on linear OA(4153, 186, F4, 83) (dual of [186, 33, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(6420, 31, F64, 20) (dual of [31, 11, 21]-code or 31-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), 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(6420, 31, F64, 20) (dual of [31, 11, 21]-code or 31-arc in PG(19,64)), 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(4154, 188, F4, 82) (dual of [188, 34, 83]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4152, 92, F4, 2, 82) (dual of [(92, 2), 32, 83]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4152, 61, F4, 3, 82) (dual of [(61, 3), 31, 83]-NRT-code) | [i] | ||