Information on Result #630105
Linear OA(284, 112, F2, 31) (dual of [112, 28, 32]-code), using concatenation of two codes based on
- linear OA(167, 14, F16, 7) (dual of [14, 7, 8]-code or 14-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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(283, 111, F2, 30) (dual of [111, 28, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(281, 109, F2, 28) (dual of [109, 28, 29]-code) | [i] | ||
| 3 | Linear OOA(284, 56, F2, 2, 31) (dual of [(56, 2), 28, 32]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(284, 37, F2, 3, 31) (dual of [(37, 3), 27, 32]-NRT-code) | [i] | ||