Information on Result #918144
Linear OOA(4178, 100, F4, 2, 115) (dual of [(100, 2), 22, 116]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1629, 20, F16, 2, 28) (dual of [(20, 2), 11, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1629, 24, F16, 2, 28) (dual of [(24, 2), 19, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,19P) [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(1629, 24, F16, 2, 28) (dual of [(24, 2), 19, 29]-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(4178, 100, F4, 2, 114) (dual of [(100, 2), 22, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4179, 100, F4, 2, 115) (dual of [(100, 2), 21, 116]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4177, 99, F4, 2, 114) (dual of [(99, 2), 21, 115]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4176, 99, F4, 2, 113) (dual of [(99, 2), 22, 114]-NRT-code) | [i] | ||
| 5 | Linear OOA(4175, 98, F4, 2, 112) (dual of [(98, 2), 21, 113]-NRT-code) | [i] | ||
| 6 | Linear OOA(4174, 98, F4, 2, 111) (dual of [(98, 2), 22, 112]-NRT-code) | [i] | ||
| 7 | Linear OOA(4173, 97, F4, 2, 110) (dual of [(97, 2), 21, 111]-NRT-code) | [i] | ||
| 8 | Linear OOA(4172, 97, F4, 2, 109) (dual of [(97, 2), 22, 110]-NRT-code) | [i] | ||
| 9 | Linear OOA(4171, 96, F4, 2, 108) (dual of [(96, 2), 21, 109]-NRT-code) | [i] | ||