Information on Result #913408
Linear OOA(4242, 124, F4, 2, 188) (dual of [(124, 2), 6, 189]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1628, 31, F16, 26) (dual of [31, 3, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(1628, 33, F16, 26) (dual of [33, 5, 27]-code), using
- extended algebraic-geometric code AGe(F,6P) [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 OA(1628, 33, F16, 26) (dual of [33, 5, 27]-code), using
- linear OOA(46, 4, F4, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;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(4242, 124, F4, 2, 187) (dual of [(124, 2), 6, 188]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4242, 124, F4, 2, 186) (dual of [(124, 2), 6, 187]-NRT-code) | [i] | ||
| 3 | Linear OOA(4242, 124, F4, 2, 185) (dual of [(124, 2), 6, 186]-NRT-code) | [i] | ||
| 4 | Linear OOA(4242, 124, F4, 2, 184) (dual of [(124, 2), 6, 185]-NRT-code) | [i] | ||