Information on Result #2278871
Linear OA(737, 16813, F7, 9) (dual of [16813, 16776, 10]-code), using 1 times code embedding in larger space based on linear OA(736, 16812, F7, 9) (dual of [16812, 16776, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 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]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(737, 12499, F7, 2, 9) (dual of [(12499, 2), 24961, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(737, 12499, F7, 3, 9) (dual of [(12499, 3), 37460, 10]-NRT-code) | [i] | ||
| 3 | Digital (28, 37, 12499)-net over F7 | [i] | ||
| 4 | Linear OOA(737, 4203, F7, 9, 9) (dual of [(4203, 9), 37790, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |