Information on Result #2237954
Linear OA(4111, 135, F4, 60) (dual of [135, 24, 61]-code), using 3 times truncation based on linear OA(4114, 138, F4, 63) (dual of [138, 24, 64]-code), using
- concatenation of two codes [i] based on
- linear OA(6415, 23, F64, 15) (dual of [23, 8, 16]-code or 23-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), 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(6415, 23, F64, 15) (dual of [23, 8, 16]-code or 23-arc in PG(14,64)), 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(4112, 137, F4, 60) (dual of [137, 25, 61]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4111, 67, F4, 2, 60) (dual of [(67, 2), 23, 61]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4111, 45, F4, 3, 60) (dual of [(45, 3), 24, 61]-NRT-code) | [i] | ||