Information on Result #918021
Linear OOA(4230, 136, F4, 2, 134) (dual of [(136, 2), 42, 135]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1647, 34, F16, 2, 44) (dual of [(34, 2), 21, 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(4230, 136, F4, 2, 133) (dual of [(136, 2), 42, 134]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4230, 136, F4, 2, 132) (dual of [(136, 2), 42, 133]-NRT-code) | [i] | ||
| 3 | Linear OOA(4231, 136, F4, 2, 134) (dual of [(136, 2), 41, 135]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4229, 135, F4, 2, 133) (dual of [(135, 2), 41, 134]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4228, 135, F4, 2, 132) (dual of [(135, 2), 42, 133]-NRT-code) | [i] | ||
| 6 | Linear OOA(4227, 134, F4, 2, 131) (dual of [(134, 2), 41, 132]-NRT-code) | [i] | ||
| 7 | Linear OOA(4226, 134, F4, 2, 130) (dual of [(134, 2), 42, 131]-NRT-code) | [i] | ||
| 8 | Linear OOA(4225, 133, F4, 2, 129) (dual of [(133, 2), 41, 130]-NRT-code) | [i] | ||