Information on Result #2201883
Linear OA(4129, 150, F4, 74) (dual of [150, 21, 75]-code), using strength reduction based on linear OA(4129, 150, F4, 75) (dual of [150, 21, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(6418, 25, F64, 18) (dual of [25, 7, 19]-code or 25-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, 25, F64, 18) (dual of [25, 7, 19]-code or 25-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(4128, 149, F4, 73) (dual of [149, 21, 74]-code) | [i] | Truncation | |
| 2 | Linear OA(4127, 148, F4, 72) (dual of [148, 21, 73]-code) | [i] | ||
| 3 | Linear OOA(4129, 75, F4, 2, 74) (dual of [(75, 2), 21, 75]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4129, 50, F4, 3, 74) (dual of [(50, 3), 21, 75]-NRT-code) | [i] | ||