Information on Result #2638417
Linear OOA(4252, 86, F4, 3, 202) (dual of [(86, 3), 6, 203]-NRT-code), using strength reduction based on linear OOA(4252, 86, F4, 3, 206) (dual of [(86, 3), 6, 207]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(412, 6, F4, 3, 11) (dual of [(6, 3), 6, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [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,15P) [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(412, 9, F4, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
- linear OOA(4234, 80, F4, 3, 194) (dual of [(80, 3), 6, 195]-NRT-code), using
- strength reduction [i] based on linear OOA(4234, 80, F4, 3, 195) (dual of [(80, 3), 6, 196]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- Reed–Solomon code RS(3,16) [i]
- linear OOA(413, 5, F4, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,4) [i]
- linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(4234, 80, F4, 3, 195) (dual of [(80, 3), 6, 196]-NRT-code), using
- linear OOA(412, 6, F4, 3, 11) (dual of [(6, 3), 6, 12]-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.