Information on Result #637258
Linear OA(4141, 174, F4, 75) (dual of [174, 33, 76]-code), using concatenation of two codes based on
- linear OA(6418, 29, F64, 18) (dual of [29, 11, 19]-code or 29-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(4141, 174, F4, 74) (dual of [174, 33, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4141, 174, F4, 73) (dual of [174, 33, 74]-code) | [i] | ||
| 3 | Linear OA(4142, 175, F4, 75) (dual of [175, 33, 76]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4140, 173, F4, 74) (dual of [173, 33, 75]-code) | [i] | Truncation | |
| 5 | Linear OA(4139, 172, F4, 73) (dual of [172, 33, 74]-code) | [i] | ||
| 6 | Linear OA(4138, 171, F4, 72) (dual of [171, 33, 73]-code) | [i] | ||
| 7 | Linear OA(4136, 169, F4, 70) (dual of [169, 33, 71]-code) | [i] | ||
| 8 | Linear OA(4143, 177, F4, 75) (dual of [177, 34, 76]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(4141, 87, F4, 2, 75) (dual of [(87, 2), 33, 76]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4141, 58, F4, 3, 75) (dual of [(58, 3), 33, 76]-NRT-code) | [i] | ||