Information on Result #1068790
Linear OOA(8147, 132902, F81, 4, 14) (dual of [(132902, 4), 531561, 15]-NRT-code), using OOA 2-folding based on linear OOA(8147, 265804, F81, 2, 14) (dual of [(265804, 2), 531561, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 82, F81, 2, 7) (dual of [(82, 2), 157, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;157,81) [i]
- linear OOA(8140, 265722, F81, 2, 14) (dual of [(265722, 2), 531404, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- 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(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code), using
- linear OOA(817, 82, F81, 2, 7) (dual of [(82, 2), 157, 8]-NRT-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.