Information on Result #2683561
Linear OOA(3186, 81, F3, 3, 99) (dual of [(81, 3), 57, 100]-NRT-code), using 31 times duplication based on linear OOA(3185, 81, F3, 3, 99) (dual of [(81, 3), 58, 100]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(952, 27, F9, 3, 49) (dual of [(27, 3), 29, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(952, 28, F9, 3, 49) (dual of [(28, 3), 32, 50]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,34P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,34P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(952, 28, F9, 3, 49) (dual of [(28, 3), 32, 50]-NRT-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(952, 27, F9, 3, 49) (dual of [(27, 3), 29, 50]-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
None.