Information on Result #904303
Linear OOA(8124, 3363, F81, 2, 10) (dual of [(3363, 2), 6702, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(8119, 3281, F81, 2, 10) (dual of [(3281, 2), 6543, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8119, 6562, F81, 10) (dual of [6562, 6543, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8119, 6563, F81, 10) (dual of [6563, 6544, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(8117, 6561, F81, 9) (dual of [6561, 6544, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(8119, 6563, F81, 10) (dual of [6563, 6544, 11]-code), using
- OOA 2-folding [i] based on linear OA(8119, 6562, F81, 10) (dual of [6562, 6543, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8124, 1681, F81, 4, 10) (dual of [(1681, 4), 6700, 11]-NRT-code) | [i] | OOA Folding | |