Information on Result #917919
Linear OOA(4170, 100, F4, 2, 101) (dual of [(100, 2), 30, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1635, 25, F16, 2, 33) (dual of [(25, 2), 15, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1635, 33, F16, 2, 33) (dual of [(33, 2), 31, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,32P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1635, 33, F16, 2, 33) (dual of [(33, 2), 31, 34]-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(4170, 100, F4, 2, 100) (dual of [(100, 2), 30, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4170, 100, F4, 2, 99) (dual of [(100, 2), 30, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(4171, 100, F4, 2, 101) (dual of [(100, 2), 29, 102]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4169, 99, F4, 2, 100) (dual of [(99, 2), 29, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(4167, 98, F4, 2, 98) (dual of [(98, 2), 29, 99]-NRT-code) | [i] | ||