Information on Result #630289
Linear OA(2103, 168, F2, 31) (dual of [168, 65, 32]-code), using concatenation of two codes based on
- linear OA(3215, 28, F32, 15) (dual of [28, 13, 16]-code or 28-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2102, 167, F2, 30) (dual of [167, 65, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(2103, 84, F2, 2, 31) (dual of [(84, 2), 65, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2103, 56, F2, 3, 31) (dual of [(56, 3), 65, 32]-NRT-code) | [i] | ||