Information on Result #870764
Linear OOA(32108, 16404, F32, 2, 34) (dual of [(16404, 2), 32700, 35]-NRT-code), using OOA 2-folding based on linear OA(32108, 32808, F32, 34) (dual of [32808, 32700, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(32108, 32809, F32, 34) (dual of [32809, 32701, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(22) [i] based on
- linear OA(3297, 32768, F32, 34) (dual of [32768, 32671, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(3211, 41, F32, 10) (dual of [41, 30, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, 43, F32, 10) (dual of [43, 32, 11]-code), using
- algebraic-geometric code AG(F,32P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3211, 43, F32, 10) (dual of [43, 32, 11]-code), using
- construction X applied to Ce(33) ⊂ Ce(22) [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.