Information on Result #1014212
Linear OOA(839, 699062, F8, 3, 6) (dual of [(699062, 3), 2097147, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(83, 9, F8, 3, 3) (dual of [(9, 3), 24, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;24,8) [i]
- linear OOA(836, 699053, F8, 3, 6) (dual of [(699053, 3), 2097123, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(836, 2097159, F8, 6) (dual of [2097159, 2097123, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(836, 2097152, F8, 6) (dual of [2097152, 2097116, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(829, 2097152, F8, 5) (dual of [2097152, 2097123, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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(5) ⊂ Ce(4) [i] based on
- OOA 3-folding [i] based on linear OA(836, 2097159, F8, 6) (dual of [2097159, 2097123, 7]-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(8129, 6291464, F8, 3, 12) (dual of [(6291464, 3), 18874263, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8137, 6291464, F8, 3, 13) (dual of [(6291464, 3), 18874255, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(839, 699061, F8, 9, 6) (dual of [(699061, 9), 6291510, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |