Information on Result #1087828
Linear OOA(2212, 57, F2, 4, 134) (dual of [(57, 4), 16, 135]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1615, 19, F16, 14) (dual of [19, 4, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1615, 24, F16, 14) (dual of [24, 9, 15]-code), using
- extended algebraic-geometric code AGe(F,9P) [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 OA(1615, 24, F16, 14) (dual of [24, 9, 15]-code), using
- linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;4,2) [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(2212, 57, F2, 4, 133) (dual of [(57, 4), 16, 134]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2212, 57, F2, 4, 132) (dual of [(57, 4), 16, 133]-NRT-code) | [i] | ||
| 3 | Linear OOA(2212, 57, F2, 4, 131) (dual of [(57, 4), 16, 132]-NRT-code) | [i] | ||
| 4 | Linear OOA(2212, 57, F2, 4, 130) (dual of [(57, 4), 16, 131]-NRT-code) | [i] | ||
| 5 | Linear OOA(2209, 56, F2, 4, 131) (dual of [(56, 4), 15, 132]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2204, 55, F2, 4, 126) (dual of [(55, 4), 16, 127]-NRT-code) | [i] | ||