Information on Result #1018730
Linear OOA(8150, 177230, F81, 3, 15) (dual of [(177230, 3), 531640, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(817, 82, F81, 3, 7) (dual of [(82, 3), 239, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;239,81) [i]
- linear OOA(8143, 177148, F81, 3, 15) (dual of [(177148, 3), 531401, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8143, 531444, F81, 15) (dual of [531444, 531401, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(8143, 531444, F81, 15) (dual of [531444, 531401, 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.