Information on Result #637263
Linear OA(4126, 144, F4, 75) (dual of [144, 18, 76]-code), using concatenation of two codes based on
- linear OA(6418, 24, F64, 18) (dual of [24, 6, 19]-code or 24-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
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(4125, 143, F4, 74) (dual of [143, 18, 75]-code) | [i] | Truncation | |
| 2 | Linear OA(4124, 142, F4, 73) (dual of [142, 18, 74]-code) | [i] | ||
| 3 | Linear OA(4123, 141, F4, 72) (dual of [141, 18, 73]-code) | [i] | ||
| 4 | Linear OA(4121, 139, F4, 70) (dual of [139, 18, 71]-code) | [i] | ||
| 5 | Linear OA(4119, 137, F4, 68) (dual of [137, 18, 69]-code) | [i] | ||
| 6 | Linear OOA(4126, 72, F4, 2, 75) (dual of [(72, 2), 18, 76]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4126, 48, F4, 3, 75) (dual of [(48, 3), 18, 76]-NRT-code) | [i] | ||