Information on Result #917879
Linear OOA(4140, 84, F4, 2, 83) (dual of [(84, 2), 28, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1628, 21, F16, 2, 27) (dual of [(21, 2), 14, 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(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(4140, 84, F4, 2, 82) (dual of [(84, 2), 28, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4141, 84, F4, 2, 83) (dual of [(84, 2), 27, 84]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4139, 83, F4, 2, 82) (dual of [(83, 2), 27, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4138, 83, F4, 2, 81) (dual of [(83, 2), 28, 82]-NRT-code) | [i] | ||
| 5 | Linear OOA(4137, 82, F4, 2, 80) (dual of [(82, 2), 27, 81]-NRT-code) | [i] | ||
| 6 | Linear OOA(4136, 82, F4, 2, 79) (dual of [(82, 2), 28, 80]-NRT-code) | [i] | ||
| 7 | Linear OOA(4135, 81, F4, 2, 78) (dual of [(81, 2), 27, 79]-NRT-code) | [i] | ||
| 8 | Linear OOA(4133, 80, F4, 2, 76) (dual of [(80, 2), 27, 77]-NRT-code) | [i] | ||