Information on Result #1013696
Linear OOA(733, 5610, F7, 3, 7) (dual of [(5610, 3), 16797, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(73, 8, F7, 3, 3) (dual of [(8, 3), 21, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;21,7) [i]
- linear OOA(730, 5602, F7, 3, 7) (dual of [(5602, 3), 16776, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(730, 16806, F7, 7) (dual of [16806, 16776, 8]-code), using
- 1 times truncation [i] based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- 1 times truncation [i] based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
- OOA 3-folding [i] based on linear OA(730, 16806, F7, 7) (dual of [16806, 16776, 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(733, 5609, F7, 9, 7) (dual of [(5609, 9), 50448, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |