Information on Result #917917
Linear OOA(4158, 88, F4, 2, 104) (dual of [(88, 2), 18, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1635, 22, F16, 2, 34) (dual of [(22, 2), 9, 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(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(4158, 88, F4, 2, 103) (dual of [(88, 2), 18, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4158, 88, F4, 2, 102) (dual of [(88, 2), 18, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(4157, 87, F4, 2, 103) (dual of [(87, 2), 17, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4156, 87, F4, 2, 102) (dual of [(87, 2), 18, 103]-NRT-code) | [i] | ||
| 5 | Linear OOA(4155, 86, F4, 2, 101) (dual of [(86, 2), 17, 102]-NRT-code) | [i] | ||
| 6 | Linear OOA(4154, 86, F4, 2, 100) (dual of [(86, 2), 18, 101]-NRT-code) | [i] | ||