Information on Result #904747
Linear OOA(8179, 3363, F81, 2, 32) (dual of [(3363, 2), 6647, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8116, 82, F81, 2, 16) (dual of [(82, 2), 148, 17]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;148,81) [i]
- linear OOA(8163, 3281, F81, 2, 32) (dual of [(3281, 2), 6499, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8163, 6562, F81, 32) (dual of [6562, 6499, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(8163, 6563, F81, 32) (dual of [6563, 6500, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(31) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(8163, 6563, F81, 32) (dual of [6563, 6500, 33]-code), using
- OOA 2-folding [i] based on linear OA(8163, 6562, F81, 32) (dual of [6562, 6499, 33]-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(8179, 1681, F81, 4, 32) (dual of [(1681, 4), 6645, 33]-NRT-code) | [i] | OOA Folding | |