Information on Result #904689
Linear OOA(8170, 3445, F81, 2, 26) (dual of [(3445, 2), 6820, 27]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8119, 164, F81, 2, 13) (dual of [(164, 2), 309, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(816, 82, F81, 2, 6) (dual of [(82, 2), 158, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;158,81) [i]
- linear OOA(8113, 82, F81, 2, 13) (dual of [(82, 2), 151, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;151,81) [i]
- linear OOA(816, 82, F81, 2, 6) (dual of [(82, 2), 158, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8151, 3281, F81, 2, 26) (dual of [(3281, 2), 6511, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8151, 6562, F81, 26) (dual of [6562, 6511, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 6563, F81, 26) (dual of [6563, 6512, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8151, 6561, F81, 26) (dual of [6561, 6510, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8149, 6561, F81, 25) (dual of [6561, 6512, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 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(25) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(8151, 6563, F81, 26) (dual of [6563, 6512, 27]-code), using
- OOA 2-folding [i] based on linear OA(8151, 6562, F81, 26) (dual of [6562, 6511, 27]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8170, 1722, F81, 4, 26) (dual of [(1722, 4), 6818, 27]-NRT-code) | [i] | OOA Folding | |