Information on Result #635174
Linear OA(4217, 235, F4, 135) (dual of [235, 18, 136]-code), using concatenation of two codes based on
- linear OA(1638, 47, F16, 33) (dual of [47, 9, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(1638, 49, F16, 33) (dual of [49, 11, 34]-code), using
- extended algebraic-geometric code AGe(F,15P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OA(1638, 49, F16, 33) (dual of [49, 11, 34]-code), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
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(4217, 235, F4, 134) (dual of [235, 18, 135]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4215, 233, F4, 133) (dual of [233, 18, 134]-code) | [i] | Truncation | |
| 3 | Linear OA(4214, 232, F4, 132) (dual of [232, 18, 133]-code) | [i] | ||