Information on Result #1027502
Linear OOA(4140, 48, F4, 3, 121) (dual of [(48, 3), 4, 122]-NRT-code), using juxtaposition based on
- linear OOA(414, 6, F4, 3, 13) (dual of [(6, 3), 4, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(414, 9, F4, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [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,13P) [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(414, 9, F4, 3, 13) (dual of [(9, 3), 13, 14]-NRT-code), using
- linear OOA(4122, 42, F4, 3, 107) (dual of [(42, 3), 4, 108]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,6P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- repeating each code word 3 times [i] based on linear OOA(438, 14, F4, 3, 35) (dual of [(14, 3), 4, 36]-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.