Information on Result #2239297
Linear OA(4137, 167, F4, 74) (dual of [167, 30, 75]-code), using 1 times truncation based on linear OA(4138, 168, F4, 75) (dual of [168, 30, 76]-code), using
- concatenation of two codes [i] based on
- linear OA(6418, 28, F64, 18) (dual of [28, 10, 19]-code or 28-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, 28, F64, 18) (dual of [28, 10, 19]-code or 28-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(4139, 170, F4, 74) (dual of [170, 31, 75]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4137, 83, F4, 2, 74) (dual of [(83, 2), 29, 75]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4137, 55, F4, 3, 74) (dual of [(55, 3), 28, 75]-NRT-code) | [i] | ||