Information on Result #2236958
Linear OA(495, 113, F4, 54) (dual of [113, 18, 55]-code), using 1 times truncation based on linear OA(496, 114, F4, 55) (dual of [114, 18, 56]-code), using
- concatenation of two codes [i] based on
- linear OA(6413, 19, F64, 13) (dual of [19, 6, 14]-code or 19-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
- linear OA(6413, 19, F64, 13) (dual of [19, 6, 14]-code or 19-arc in PG(12,64)), 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(497, 116, F4, 54) (dual of [116, 19, 55]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(495, 56, F4, 2, 54) (dual of [(56, 2), 17, 55]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(495, 37, F4, 3, 54) (dual of [(37, 3), 16, 55]-NRT-code) | [i] | ||