Information on Result #904541
Linear OOA(8144, 3363, F81, 2, 18) (dual of [(3363, 2), 6682, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 82, F81, 2, 9) (dual of [(82, 2), 155, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;155,81) [i]
- linear OOA(8135, 3281, F81, 2, 18) (dual of [(3281, 2), 6527, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8135, 6562, F81, 18) (dual of [6562, 6527, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8135, 6563, F81, 18) (dual of [6563, 6528, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(8133, 6561, F81, 17) (dual of [6561, 6528, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(8135, 6563, F81, 18) (dual of [6563, 6528, 19]-code), using
- OOA 2-folding [i] based on linear OA(8135, 6562, F81, 18) (dual of [6562, 6527, 19]-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(8144, 1681, F81, 4, 18) (dual of [(1681, 4), 6680, 19]-NRT-code) | [i] | OOA Folding | |