Information on Result #2248670
Linear OA(790, 16806, F7, 21) (dual of [16806, 16716, 22]-code), using 1 times truncation based on linear OA(791, 16807, F7, 22) (dual of [16807, 16716, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
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 OA(7102, 16821, F7, 21) (dual of [16821, 16719, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(7103, 16823, F7, 21) (dual of [16823, 16720, 22]-code) | [i] | ||
| 3 | Linear OA(7104, 16836, F7, 21) (dual of [16836, 16732, 22]-code) | [i] | ||
| 4 | Linear OA(7106, 16855, F7, 21) (dual of [16855, 16749, 22]-code) | [i] | ||
| 5 | Linear OOA(790, 12002, F7, 2, 21) (dual of [(12002, 2), 23914, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(790, 12002, F7, 3, 21) (dual of [(12002, 3), 35916, 22]-NRT-code) | [i] | ||
| 7 | Digital (69, 90, 12002)-net over F7 | [i] | ||
| 8 | Linear OOA(790, 8403, F7, 2, 21) (dual of [(8403, 2), 16716, 22]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(790, 5602, F7, 3, 21) (dual of [(5602, 3), 16716, 22]-NRT-code) | [i] | ||
| 10 | Linear OOA(790, 1680, F7, 21, 21) (dual of [(1680, 21), 35190, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |