Information on Result #1014320
Linear OOA(846, 10933, F8, 3, 10) (dual of [(10933, 3), 32753, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(85, 9, F8, 3, 5) (dual of [(9, 3), 22, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;22,8) [i]
- linear OOA(841, 10924, F8, 3, 10) (dual of [(10924, 3), 32731, 11]-NRT-code), using
- OOA 3-folding [i] based on linear OA(841, 32772, F8, 10) (dual of [32772, 32731, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(841, 32773, F8, 10) (dual of [32773, 32732, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(841, 32768, F8, 10) (dual of [32768, 32727, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(841, 32773, F8, 10) (dual of [32773, 32732, 11]-code), using
- OOA 3-folding [i] based on linear OA(841, 32772, F8, 10) (dual of [32772, 32731, 11]-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.