Information on Result #2610410
Linear OOA(272, 30, F2, 3, 38) (dual of [(30, 3), 18, 39]-NRT-code), using strength reduction based on linear OOA(272, 30, F2, 3, 39) (dual of [(30, 3), 18, 40]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(421, 10, F4, 3, 19) (dual of [(10, 3), 9, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(421, 10, F4, 3, 19) (dual of [(10, 3), 9, 20]-NRT-code), using
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(275, 31, F2, 3, 38) (dual of [(31, 3), 18, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(273, 30, F2, 3, 38) (dual of [(30, 3), 17, 39]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(272, 15, F2, 6, 38) (dual of [(15, 6), 18, 39]-NRT-code) | [i] | OOA Folding | |