Information on Result #897429
Linear OOA(938, 6573, F9, 2, 9) (dual of [(6573, 2), 13108, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(94, 10, F9, 2, 4) (dual of [(10, 2), 16, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;16,9) [i]
- linear OOA(934, 6563, F9, 2, 9) (dual of [(6563, 2), 13092, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(934, 13126, F9, 9) (dual of [13126, 13092, 10]-code), using
- trace code [i] based on linear OA(8117, 6563, F81, 9) (dual of [6563, 6546, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- 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(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8) ⊂ Ce(7) [i] based on
- trace code [i] based on linear OA(8117, 6563, F81, 9) (dual of [6563, 6546, 10]-code), using
- OOA 2-folding [i] based on linear OA(934, 13126, F9, 9) (dual of [13126, 13092, 10]-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(938, 3286, F9, 10, 9) (dual of [(3286, 10), 32822, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |