Information on Result #906868
Linear OOA(3255, 16484, F32, 2, 15) (dual of [(16484, 2), 32913, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3212, 99, F32, 2, 7) (dual of [(99, 2), 186, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;64,32) [i]
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;63,32) [i]
- linear OOA(327, 33, F32, 2, 7) (dual of [(33, 2), 59, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;59,32) [i]
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(3243, 16385, F32, 2, 15) (dual of [(16385, 2), 32727, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3243, 32770, F32, 15) (dual of [32770, 32727, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3243, 32771, F32, 15) (dual of [32771, 32728, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(3243, 32768, F32, 15) (dual of [32768, 32725, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(3243, 32771, F32, 15) (dual of [32771, 32728, 16]-code), using
- OOA 2-folding [i] based on linear OA(3243, 32770, F32, 15) (dual of [32770, 32727, 16]-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.