Information on Result #2634066
Linear OOA(4195, 66, F4, 3, 172) (dual of [(66, 3), 3, 173]-NRT-code), using strength reduction based on linear OOA(4195, 66, F4, 3, 174) (dual of [(66, 3), 3, 175]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(46, 3, F4, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
- discarding factors / shortening the dual code based on linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- linear OOA(4186, 63, F4, 3, 167) (dual of [(63, 3), 3, 168]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 7 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- linear OOA(46, 3, F4, 3, 6) (dual of [(3, 3), 3, 7]-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.