Information on Result #2203112
Linear OA(4161, 215, F4, 76) (dual of [215, 54, 77]-code), using strength reduction based on linear OA(4161, 215, F4, 77) (dual of [215, 54, 78]-code), using
- concatenation of two codes [i] based on
- linear OA(6425, 43, F64, 25) (dual of [43, 18, 26]-code or 43-arc in PG(24,64)), using
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- Reed–Solomon code RS(39,64) [i]
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(6425, 43, F64, 25) (dual of [43, 18, 26]-code or 43-arc in PG(24,64)), 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(4160, 214, F4, 75) (dual of [214, 54, 76]-code) | [i] | Truncation | |