Information on Result #634960
Linear OA(4104, 120, F4, 63) (dual of [120, 16, 64]-code), using concatenation of two codes based on
- linear OA(1616, 24, F16, 15) (dual of [24, 8, 16]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, 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(4105, 121, F4, 63) (dual of [121, 16, 64]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4103, 119, F4, 62) (dual of [119, 16, 63]-code) | [i] | Truncation | |
| 3 | Linear OA(4102, 118, F4, 61) (dual of [118, 16, 62]-code) | [i] | ||
| 4 | Linear OA(4101, 117, F4, 60) (dual of [117, 16, 61]-code) | [i] | ||
| 5 | Linear OA(498, 114, F4, 57) (dual of [114, 16, 58]-code) | [i] | ||
| 6 | Linear OA(497, 113, F4, 56) (dual of [113, 16, 57]-code) | [i] | ||
| 7 | Linear OOA(4104, 60, F4, 2, 63) (dual of [(60, 2), 16, 64]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4104, 40, F4, 3, 63) (dual of [(40, 3), 16, 64]-NRT-code) | [i] | ||