Information on Result #1304070
Linear OA(2257, 470, F2, 62) (dual of [470, 213, 63]-code), using 9 step Varšamov–Edel lengthening with (ri) = (2, 1, 1, 1, 0, 1, 0, 1, 0) based on linear OA(2250, 454, F2, 62) (dual of [454, 204, 63]-code), using
- 1 times truncation [i] based on linear OA(2251, 455, F2, 63) (dual of [455, 204, 64]-code), using
- concatenation of two codes [i] based on
- linear OA(6431, 65, F64, 31) (dual of [65, 34, 32]-code or 65-arc in PG(30,64)), using
- extended Reed–Solomon code RSe(34,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- 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
- linear OA(6431, 65, F64, 31) (dual of [65, 34, 32]-code or 65-arc in PG(30,64)), using
- concatenation of two codes [i] based on
Mode: 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(2258, 471, F2, 63) (dual of [471, 213, 64]-code) | [i] | Adding a Parity Check Bit | |