Information on Result #2220462
Linear OA(287, 103, F2, 38) (dual of [103, 16, 39]-code), using 1 times truncation based on linear OA(288, 104, F2, 39) (dual of [104, 16, 40]-code), using
- concatenation of two codes [i] based on
- linear OA(169, 13, F16, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
- linear OA(169, 13, F16, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), 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(289, 105, F2, 38) (dual of [105, 16, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(287, 51, F2, 2, 38) (dual of [(51, 2), 15, 39]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(287, 34, F2, 3, 38) (dual of [(34, 3), 15, 39]-NRT-code) | [i] | ||