Information on Result #637260
Linear OA(4135, 162, F4, 75) (dual of [162, 27, 76]-code), using concatenation of two codes 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
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(4135, 162, F4, 74) (dual of [162, 27, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4135, 162, F4, 73) (dual of [162, 27, 74]-code) | [i] | ||
| 3 | Linear OA(4136, 163, F4, 75) (dual of [163, 27, 76]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(4134, 161, F4, 74) (dual of [161, 27, 75]-code) | [i] | Truncation | |
| 5 | Linear OA(4133, 160, F4, 73) (dual of [160, 27, 74]-code) | [i] | ||
| 6 | Linear OA(4132, 159, F4, 72) (dual of [159, 27, 73]-code) | [i] | ||
| 7 | Linear OA(4131, 158, F4, 71) (dual of [158, 27, 72]-code) | [i] | ||
| 8 | Linear OA(4130, 157, F4, 70) (dual of [157, 27, 71]-code) | [i] | ||
| 9 | Linear OOA(4135, 81, F4, 2, 75) (dual of [(81, 2), 27, 76]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(4135, 54, F4, 3, 75) (dual of [(54, 3), 27, 76]-NRT-code) | [i] | ||