Information on Result #917865
Linear OOA(4122, 72, F4, 2, 74) (dual of [(72, 2), 22, 75]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1625, 18, F16, 2, 24) (dual of [(18, 2), 11, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1625, 24, F16, 2, 24) (dual of [(24, 2), 23, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,23P) [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(1625, 24, F16, 2, 24) (dual of [(24, 2), 23, 25]-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(4121, 71, F4, 2, 73) (dual of [(71, 2), 21, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4120, 71, F4, 2, 72) (dual of [(71, 2), 22, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(4119, 70, F4, 2, 71) (dual of [(70, 2), 21, 72]-NRT-code) | [i] | ||
| 4 | Linear OOA(4118, 70, F4, 2, 70) (dual of [(70, 2), 22, 71]-NRT-code) | [i] | ||
| 5 | Linear OOA(4117, 69, F4, 2, 69) (dual of [(69, 2), 21, 70]-NRT-code) | [i] | ||