Information on Result #1015897
Linear OOA(929, 4385, F9, 3, 7) (dual of [(4385, 3), 13126, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(93, 10, F9, 3, 3) (dual of [(10, 3), 27, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;27,9) [i]
- linear OOA(926, 4375, F9, 3, 7) (dual of [(4375, 3), 13099, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(926, 13125, F9, 7) (dual of [13125, 13099, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 13126, F9, 7) (dual of [13126, 13100, 8]-code), using
- trace code [i] based on linear OA(8113, 6563, F81, 7) (dual of [6563, 6550, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(8113, 6561, F81, 7) (dual of [6561, 6548, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- trace code [i] based on linear OA(8113, 6563, F81, 7) (dual of [6563, 6550, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 13126, F9, 7) (dual of [13126, 13100, 8]-code), using
- OOA 3-folding [i] based on linear OA(926, 13125, F9, 7) (dual of [13125, 13099, 8]-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(9135, 5596787, F9, 3, 14) (dual of [(5596787, 3), 16790226, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(9143, 5596787, F9, 3, 15) (dual of [(5596787, 3), 16790218, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(929, 4384, F9, 9, 7) (dual of [(4384, 9), 39427, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |