Information on Result #1014233
Linear OOA(836, 11132, F8, 3, 7) (dual of [(11132, 3), 33360, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(85, 208, F8, 3, 3) (dual of [(208, 3), 619, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(85, 208, F8, 2, 3) (dual of [(208, 2), 411, 4]-NRT-code), using
- linear OOA(831, 10924, F8, 3, 7) (dual of [(10924, 3), 32741, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(831, 32772, F8, 7) (dual of [32772, 32741, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(831, 32773, F8, 7) (dual of [32773, 32742, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(831, 32773, F8, 7) (dual of [32773, 32742, 8]-code), using
- OOA 3-folding [i] based on linear OA(831, 32772, F8, 7) (dual of [32772, 32741, 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(8142, 5603534, F8, 3, 14) (dual of [(5603534, 3), 16810460, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8150, 5603534, F8, 3, 15) (dual of [(5603534, 3), 16810452, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(836, 11131, F8, 9, 7) (dual of [(11131, 9), 100143, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |