Information on Result #630499
Linear OA(2135, 315, F2, 31) (dual of [315, 180, 32]-code), using concatenation of two codes based on
- linear OA(6415, 45, F64, 15) (dual of [45, 30, 16]-code or 45-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- linear OA(21, 7, F2, 1) (dual of [7, 6, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2134, 314, F2, 30) (dual of [314, 180, 31]-code) | [i] | Truncation | |
| 2 | Linear OOA(2135, 157, F2, 2, 31) (dual of [(157, 2), 179, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2135, 105, F2, 3, 31) (dual of [(105, 3), 180, 32]-NRT-code) | [i] | ||