Information on Result #633743
Linear OA(3126, 150, F3, 59) (dual of [150, 24, 60]-code), using concatenation of two codes based on
- linear OA(819, 15, F81, 9) (dual of [15, 6, 10]-code or 15-arc in PG(8,81)), using
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- Reed–Solomon code RS(72,81) [i]
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- linear OA(36, 10, F3, 5) (dual of [10, 4, 6]-code), 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(3126, 150, F3, 58) (dual of [150, 24, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3127, 151, F3, 59) (dual of [151, 24, 60]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3129, 153, F3, 59) (dual of [153, 24, 60]-code) | [i] | ||
| 4 | Linear OA(3125, 149, F3, 58) (dual of [149, 24, 59]-code) | [i] | Truncation | |
| 5 | Linear OA(3123, 147, F3, 56) (dual of [147, 24, 57]-code) | [i] | ||
| 6 | Linear OOA(3126, 75, F3, 2, 59) (dual of [(75, 2), 24, 60]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3126, 50, F3, 3, 59) (dual of [(50, 3), 24, 60]-NRT-code) | [i] | ||