Information on Result #918019
Linear OOA(4238, 144, F4, 2, 134) (dual of [(144, 2), 50, 135]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1647, 36, F16, 2, 44) (dual of [(36, 2), 25, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1647, 38, F16, 2, 44) (dual of [(38, 2), 29, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,31P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(1647, 38, F16, 2, 44) (dual of [(38, 2), 29, 45]-NRT-code), using
- linear OA(42, 4, F4, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reed–Solomon code RS(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(4239, 144, F4, 2, 134) (dual of [(144, 2), 49, 135]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4237, 143, F4, 2, 133) (dual of [(143, 2), 49, 134]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(4236, 143, F4, 2, 132) (dual of [(143, 2), 50, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(4235, 142, F4, 2, 131) (dual of [(142, 2), 49, 132]-NRT-code) | [i] | ||
| 5 | Linear OOA(4234, 142, F4, 2, 130) (dual of [(142, 2), 50, 131]-NRT-code) | [i] | ||
| 6 | Linear OOA(4233, 141, F4, 2, 129) (dual of [(141, 2), 49, 130]-NRT-code) | [i] | ||