Information on Result #684618
Linear OA(797, 117649, F7, 19) (dual of [117649, 117552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(797, 70803, F7, 2, 19) (dual of [(70803, 2), 141509, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(797, 70803, F7, 3, 19) (dual of [(70803, 3), 212312, 20]-NRT-code) | [i] | ||
| 3 | Digital (78, 97, 70803)-net over F7 | [i] | ||
| 4 | Linear OA(7103, 117655, F7, 20) (dual of [117655, 117552, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(797, 117655, F7, 19) (dual of [117655, 117558, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(7100, 117670, F7, 19) (dual of [117670, 117570, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(7104, 117686, F7, 19) (dual of [117686, 117582, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(7108, 117696, F7, 19) (dual of [117696, 117588, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(798, 117669, F7, 18) (dual of [117669, 117571, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OOA(797, 13072, F7, 19, 19) (dual of [(13072, 19), 248271, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |