Information on Result #2217567
Linear OA(16129, 135, F16, 111) (dual of [135, 6, 112]-code), using strength reduction based on linear OA(16129, 135, F16, 112) (dual of [135, 6, 113]-code), using
- juxtaposition [i] based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using
- algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1665, 71, F16, 58) (dual of [71, 6, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,10P) [i] based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(164, 7, F16, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,16)), using
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- discarding factors / shortening the dual code based on linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- construction X applied to AG(F,5P) ⊂ AG(F,10P) [i] based on
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-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.