Information on Result #913654
Linear OOA(232, 21, F2, 2, 17) (dual of [(21, 2), 10, 18]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(49, 7, F4, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(49, 9, F4, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [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(2;F,9P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- discarding factors / shortening the dual code based on linear OOA(49, 9, F4, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), 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
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(232, 21, F2, 2, 16) (dual of [(21, 2), 10, 17]-NRT-code) | [i] | Strength Reduction for OOAs | |