Information on Result #896487
Linear OOA(834, 16395, F8, 2, 7) (dual of [(16395, 2), 32756, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(83, 9, F8, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;15,8) [i]
- linear OOA(831, 16386, F8, 2, 7) (dual of [(16386, 2), 32741, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(831, 32772, F8, 7) (dual of [32772, 32741, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(831, 32773, F8, 7) (dual of [32773, 32742, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(831, 32773, F8, 7) (dual of [32773, 32742, 8]-code), using
- OOA 2-folding [i] based on linear OA(831, 32772, F8, 7) (dual of [32772, 32741, 8]-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.