Information on Result #614440
Linear OA(791, 117649, F7, 18) (dual of [117649, 117558, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(7100, 117659, F7, 18) (dual of [117659, 117559, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(7101, 117661, F7, 18) (dual of [117661, 117560, 19]-code) | [i] | ||
| 3 | Linear OA(7102, 117663, F7, 18) (dual of [117663, 117561, 19]-code) | [i] | ||
| 4 | Linear OA(7103, 117666, F7, 18) (dual of [117666, 117563, 19]-code) | [i] | ||
| 5 | Linear OOA(791, 64269, F7, 2, 18) (dual of [(64269, 2), 128447, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(791, 64269, F7, 3, 18) (dual of [(64269, 3), 192716, 19]-NRT-code) | [i] | ||
| 7 | Digital (73, 91, 64269)-net over F7 | [i] | ||
| 8 | Linear OA(797, 117655, F7, 19) (dual of [117655, 117558, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(791, 117655, F7, 18) (dual of [117655, 117564, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(7104, 117662, F7, 20) (dual of [117662, 117558, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(792, 117662, F7, 18) (dual of [117662, 117570, 19]-code) | [i] | ✔ | |
| 12 | Linear OA(794, 117670, F7, 18) (dual of [117670, 117576, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(797, 117679, F7, 18) (dual of [117679, 117582, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(798, 117686, F7, 18) (dual of [117686, 117588, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(7102, 117696, F7, 18) (dual of [117696, 117594, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(7105, 117664, F7, 20) (dual of [117664, 117559, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(793, 117664, F7, 18) (dual of [117664, 117571, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(796, 117673, F7, 18) (dual of [117673, 117577, 19]-code) | [i] | ✔ | |
| 19 | Linear OOA(791, 13072, F7, 18, 18) (dual of [(13072, 18), 235205, 19]-NRT-code) | [i] | OA Folding and Stacking | |