Information on Result #2238970
Linear OA(4132, 159, F4, 72) (dual of [159, 27, 73]-code), using 3 times truncation based on linear OA(4135, 162, F4, 75) (dual of [162, 27, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(6418, 27, F64, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), 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(6418, 27, F64, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,64)), 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(4134, 162, F4, 72) (dual of [162, 28, 73]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4132, 79, F4, 2, 72) (dual of [(79, 2), 26, 73]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4132, 53, F4, 3, 72) (dual of [(53, 3), 27, 73]-NRT-code) | [i] | ||