Information on Result #966287
Linear OOA(4131, 57, F4, 3, 63) (dual of [(57, 3), 40, 64]-NRT-code), using OOA 3-folding based on linear OA(4131, 171, F4, 63) (dual of [171, 40, 64]-code), using
- concatenation of two codes [i] based on
- linear OA(1637, 57, F16, 31) (dual of [57, 20, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using
- algebraic-geometric code AG(F,32P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,32P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1637, 64, F16, 31) (dual of [64, 27, 32]-code), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1637, 57, F16, 31) (dual of [57, 20, 32]-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.