Information on Result #918141
Linear OOA(4164, 90, F4, 2, 111) (dual of [(90, 2), 16, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1628, 18, F16, 2, 27) (dual of [(18, 2), 8, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1628, 24, F16, 2, 27) (dual of [(24, 2), 20, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [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(1628, 24, F16, 2, 27) (dual of [(24, 2), 20, 28]-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(4164, 90, F4, 2, 110) (dual of [(90, 2), 16, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4164, 90, F4, 2, 109) (dual of [(90, 2), 16, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(4163, 89, F4, 2, 110) (dual of [(89, 2), 15, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4162, 89, F4, 2, 109) (dual of [(89, 2), 16, 110]-NRT-code) | [i] | ||
| 5 | Linear OOA(4161, 88, F4, 2, 108) (dual of [(88, 2), 15, 109]-NRT-code) | [i] | ||
| 6 | Linear OOA(4159, 87, F4, 2, 106) (dual of [(87, 2), 15, 107]-NRT-code) | [i] | ||
| 7 | Linear OOA(4158, 87, F4, 2, 105) (dual of [(87, 2), 16, 106]-NRT-code) | [i] | ||
| 8 | Linear OOA(4157, 86, F4, 2, 104) (dual of [(86, 2), 15, 105]-NRT-code) | [i] | ||