Information on Result #2638965
Linear OOA(4258, 88, F4, 3, 211) (dual of [(88, 3), 6, 212]-NRT-code), using strength reduction based on linear OOA(4258, 88, F4, 3, 212) (dual of [(88, 3), 6, 213]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(415, 7, F4, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(415, 9, F4, 3, 14) (dual of [(9, 3), 12, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [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,12P) [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(415, 9, F4, 3, 14) (dual of [(9, 3), 12, 15]-NRT-code), using
- linear OOA(4237, 81, F4, 3, 197) (dual of [(81, 3), 6, 198]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(475, 27, F4, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,15P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- repeating each code word 3 times [i] based on linear OOA(475, 27, F4, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
- linear OOA(415, 7, F4, 3, 14) (dual of [(7, 3), 6, 15]-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.