Information on Result #2610282
Linear OOA(267, 27, F2, 3, 38) (dual of [(27, 3), 14, 39]-NRT-code), using strength reduction based on linear OOA(267, 27, F2, 3, 39) (dual of [(27, 3), 14, 40]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, 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(420, 9, F4, 3, 19) (dual of [(9, 3), 7, 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(270, 28, F2, 3, 38) (dual of [(28, 3), 14, 39]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(268, 27, F2, 3, 38) (dual of [(27, 3), 13, 39]-NRT-code) | [i] | OOA Duplication | |