Information on Result #710814
Linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(521, 404, F5, 2, 7) (dual of [(404, 2), 787, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(521, 404, F5, 3, 7) (dual of [(404, 3), 1191, 8]-NRT-code) | [i] | ||
| 3 | Digital (14, 21, 404)-net over F5 | [i] | ||
| 4 | Linear OA(523, 634, F5, 7) (dual of [634, 611, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(525, 632, F5, 8) (dual of [632, 607, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(530, 637, F5, 9) (dual of [637, 607, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(536, 643, F5, 10) (dual of [643, 607, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(544, 651, F5, 12) (dual of [651, 607, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(543, 648, F5, 12) (dual of [648, 605, 13]-code) | [i] | ✔ | |
| 10 | Linear OA(549, 652, F5, 13) (dual of [652, 603, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(548, 649, F5, 13) (dual of [649, 601, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(529, 632, F5, 9) (dual of [632, 603, 10]-code) | [i] | ✔ | |
| 13 | Linear OA(534, 637, F5, 10) (dual of [637, 603, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(547, 648, F5, 13) (dual of [648, 601, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(552, 649, F5, 14) (dual of [649, 597, 15]-code) | [i] | ✔ | |
| 16 | Linear OA(553, 656, F5, 14) (dual of [656, 603, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(552, 653, F5, 14) (dual of [653, 601, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(557, 654, F5, 15) (dual of [654, 597, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(557, 660, F5, 15) (dual of [660, 603, 16]-code) | [i] | ✔ | |
| 20 | Linear OA(559, 660, F5, 16) (dual of [660, 601, 17]-code) | [i] | ✔ | |
| 21 | Linear OA(564, 661, F5, 17) (dual of [661, 597, 18]-code) | [i] | ✔ | |