Information on Result #918172
Linear OOA(4196, 105, F4, 2, 139) (dual of [(105, 2), 14, 140]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1635, 21, F16, 2, 34) (dual of [(21, 2), 7, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1635, 24, F16, 2, 34) (dual of [(24, 2), 13, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1635, 24, F16, 2, 34) (dual of [(24, 2), 13, 35]-NRT-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4196, 105, F4, 2, 138) (dual of [(105, 2), 14, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4196, 105, F4, 2, 137) (dual of [(105, 2), 14, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(4196, 105, F4, 2, 136) (dual of [(105, 2), 14, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(4197, 105, F4, 2, 139) (dual of [(105, 2), 13, 140]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(4195, 104, F4, 2, 138) (dual of [(104, 2), 13, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(4194, 104, F4, 2, 137) (dual of [(104, 2), 14, 138]-NRT-code) | [i] | ||
| 7 | Linear OOA(4193, 103, F4, 2, 136) (dual of [(103, 2), 13, 137]-NRT-code) | [i] | ||
| 8 | Linear OOA(4192, 103, F4, 2, 135) (dual of [(103, 2), 14, 136]-NRT-code) | [i] | ||
| 9 | Linear OOA(4191, 102, F4, 2, 134) (dual of [(102, 2), 13, 135]-NRT-code) | [i] | ||
| 10 | Linear OOA(4190, 102, F4, 2, 133) (dual of [(102, 2), 14, 134]-NRT-code) | [i] | ||
| 11 | Linear OOA(4189, 101, F4, 2, 132) (dual of [(101, 2), 13, 133]-NRT-code) | [i] | ||
| 12 | Linear OOA(4188, 101, F4, 2, 131) (dual of [(101, 2), 14, 132]-NRT-code) | [i] | ||
| 13 | Linear OOA(4187, 100, F4, 2, 130) (dual of [(100, 2), 13, 131]-NRT-code) | [i] | ||
| 14 | Linear OOA(4185, 99, F4, 2, 128) (dual of [(99, 2), 13, 129]-NRT-code) | [i] | ||