Information on Result #859594
Linear OOA(1675, 40, F16, 2, 65) (dual of [(40, 2), 5, 66]-NRT-code), using OOA 2-folding based on linear OA(1675, 80, F16, 65) (dual of [80, 5, 66]-code), using
- discarding factors / shortening the dual code based on linear OA(1675, 81, F16, 65) (dual of [81, 6, 66]-code), using
- juxtaposition [i] based on
- linear OA(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- extended Reed–Solomon code RSe(6,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- 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(1611, 17, F16, 11) (dual of [17, 6, 12]-code or 17-arc in PG(10,16)), using
- juxtaposition [i] based on
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.