Information on Result #2668748
Linear OOA(268, 28, F2, 3, 36) (dual of [(28, 3), 16, 37]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(265, 27, F2, 3, 36) (dual of [(27, 3), 16, 37]-NRT-code), using
- strength reduction [i] based on linear OOA(265, 27, F2, 3, 37) (dual of [(27, 3), 16, 38]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(419, 9, F4, 3, 18) (dual of [(9, 3), 8, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [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,8P) [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(419, 9, F4, 3, 18) (dual of [(9, 3), 8, 19]-NRT-code), using
- concatenation of two NRT-codes [i] based on
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(2148, 54, F2, 3, 72) (dual of [(54, 3), 14, 73]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2148, 54, F2, 3, 73) (dual of [(54, 3), 14, 74]-NRT-code) | [i] | ||
| 3 | Linear OOA(268, 14, F2, 6, 36) (dual of [(14, 6), 16, 37]-NRT-code) | [i] | OOA Folding | |